id	sid	tid	token	lemma	pos
ap-7675	1	1	acta	acta	PROPN
ap-7675	1	2	polytechnica	polytechnica	PROPN
ap-7675	1	3	https://doi.org/10.14311/ap.2022.62.0038	https://doi.org/10.14311/ap.2022.62.0038	PROPN
ap-7675	1	4	acta	acta	PROPN
ap-7675	1	5	polytechnica	polytechnica	PROPN
ap-7675	1	6	62(1):38–49	62(1):38–49	NUM
ap-7675	1	7	,	,	PUNCT
ap-7675	1	8	2022	2022	NUM
ap-7675	1	9	©	©	ADP
ap-7675	1	10	2022	2022	NUM
ap-7675	1	11	the	the	DET
ap-7675	1	12	author(s	author(s	NOUN
ap-7675	1	13	)	)	PUNCT
ap-7675	1	14	.	.	PUNCT
ap-7675	2	1	licensed	license	VERB
ap-7675	2	2	under	under	ADP
ap-7675	2	3	a	a	DET
ap-7675	2	4	cc	cc	NOUN
ap-7675	2	5	-	-	PUNCT
ap-7675	2	6	by	by	ADP
ap-7675	2	7	4.0	4.0	NUM
ap-7675	2	8	licence	licence	NOUN
ap-7675	2	9	published	publish	VERB
ap-7675	2	10	by	by	ADP
ap-7675	2	11	the	the	DET
ap-7675	2	12	czech	czech	PROPN
ap-7675	2	13	technical	technical	PROPN
ap-7675	2	14	university	university	PROPN
ap-7675	2	15	in	in	ADP
ap-7675	2	16	prague	prague	PROPN
ap-7675	2	17	about	about	ADP
ap-7675	2	18	the	the	DET
ap-7675	2	19	time	time	NOUN
ap-7675	2	20	evolution	evolution	NOUN
ap-7675	2	21	of	of	ADP
ap-7675	2	22	coherent	coherent	ADJ
ap-7675	2	23	electron	electron	NOUN
ap-7675	2	24	states	state	NOUN
ap-7675	2	25	in	in	ADP
ap-7675	2	26	monolayers	monolayer	NOUN
ap-7675	2	27	of	of	ADP
ap-7675	2	28	boron	boron	NOUN
ap-7675	2	29	allotropes	allotrope	NOUN
ap-7675	2	30	erik	erik	PROPN
ap-7675	2	31	díaz	díaz	PROPN
ap-7675	2	32	-	-	PUNCT
ap-7675	2	33	bautista	bautista	PROPN
ap-7675	2	34	instituto	instituto	PROPN
ap-7675	2	35	politécnico	politécnico	PROPN
ap-7675	2	36	nacional	nacional	PROPN
ap-7675	2	37	,	,	PUNCT
ap-7675	2	38	unidad	unidad	PROPN
ap-7675	2	39	profesional	profesional	PROPN
ap-7675	2	40	interdisciplinaria	interdisciplinaria	PROPN
ap-7675	2	41	de	de	PROPN
ap-7675	2	42	ingeniería	ingeniería	PROPN
ap-7675	2	43	campus	campus	PROPN
ap-7675	2	44	hidalgo	hidalgo	PROPN
ap-7675	2	45	,	,	PUNCT
ap-7675	2	46	departamento	departamento	PROPN
ap-7675	2	47	de	de	PROPN
ap-7675	2	48	formación	formación	PROPN
ap-7675	2	49	básica	básica	PROPN
ap-7675	2	50	disciplinaria	disciplinaria	PROPN
ap-7675	2	51	,	,	PUNCT
ap-7675	2	52	ciudad	ciudad	PROPN
ap-7675	2	53	del	del	PROPN
ap-7675	2	54	conocimiento	conocimiento	PROPN
ap-7675	2	55	y	y	PROPN
ap-7675	2	56	la	la	PROPN
ap-7675	2	57	cultura	cultura	PROPN
ap-7675	2	58	,	,	PUNCT
ap-7675	2	59	carretera	carretera	NOUN
ap-7675	2	60	pachuca	pachuca	NOUN
ap-7675	2	61	-	-	PUNCT
ap-7675	2	62	actopan	actopan	NOUN
ap-7675	2	63	km	km	NOUN
ap-7675	2	64	1	1	NUM
ap-7675	2	65	+	+	SYM
ap-7675	2	66	500	500	NUM
ap-7675	2	67	,	,	PUNCT
ap-7675	2	68	san	san	PROPN
ap-7675	2	69	agustín	agustín	PROPN
ap-7675	2	70	tlaxiaca	tlaxiaca	PROPN
ap-7675	2	71	,	,	PUNCT
ap-7675	2	72	42162	42162	NUM
ap-7675	2	73	hidalgo	hidalgo	PROPN
ap-7675	2	74	,	,	PUNCT
ap-7675	2	75	méxico	méxico	PROPN
ap-7675	2	76	correspondence	correspondence	NOUN
ap-7675	2	77	:	:	PUNCT
ap-7675	2	78	ediazba@ipn.mx	ediazba@ipn.mx	PROPN
ap-7675	2	79	abstract	abstract	NOUN
ap-7675	2	80	.	.	PUNCT
ap-7675	3	1	in	in	ADP
ap-7675	3	2	this	this	DET
ap-7675	3	3	paper	paper	NOUN
ap-7675	3	4	,	,	PUNCT
ap-7675	3	5	we	we	PRON
ap-7675	3	6	theoretically	theoretically	ADV
ap-7675	3	7	analyze	analyze	VERB
ap-7675	3	8	the	the	DET
ap-7675	3	9	massless	massless	NOUN
ap-7675	3	10	dirac	dirac	NOUN
ap-7675	3	11	fermion	fermion	NOUN
ap-7675	3	12	dynamics	dynamic	NOUN
ap-7675	3	13	in	in	ADP
ap-7675	3	14	twodimensional	twodimensional	ADJ
ap-7675	3	15	monolayers	monolayer	NOUN
ap-7675	3	16	of	of	ADP
ap-7675	3	17	boron	boron	NOUN
ap-7675	3	18	allotropes	allotrope	NOUN
ap-7675	3	19	,	,	PUNCT
ap-7675	3	20	8b	8b	NUM
ap-7675	3	21	and	and	CCONJ
ap-7675	3	22	2bh	2bh	ADJ
ap-7675	3	23	−	−	PROPN
ap-7675	3	24	pmmn	pmmn	NOUN
ap-7675	3	25	borophene	borophene	NOUN
ap-7675	3	26	,	,	PUNCT
ap-7675	3	27	interacting	interact	VERB
ap-7675	3	28	with	with	ADP
ap-7675	3	29	external	external	ADJ
ap-7675	3	30	electric	electric	ADJ
ap-7675	3	31	and	and	CCONJ
ap-7675	3	32	magnetic	magnetic	ADJ
ap-7675	3	33	fields	field	NOUN
ap-7675	3	34	.	.	PUNCT
ap-7675	4	1	we	we	PRON
ap-7675	4	2	study	study	VERB
ap-7675	4	3	the	the	DET
ap-7675	4	4	effect	effect	NOUN
ap-7675	4	5	of	of	ADP
ap-7675	4	6	the	the	DET
ap-7675	4	7	dirac	dirac	NOUN
ap-7675	4	8	cone	cone	NOUN
ap-7675	4	9	tilt	tilt	NOUN
ap-7675	4	10	in	in	ADP
ap-7675	4	11	these	these	DET
ap-7675	4	12	materials	material	NOUN
ap-7675	4	13	,	,	PUNCT
ap-7675	4	14	which	which	PRON
ap-7675	4	15	is	be	AUX
ap-7675	4	16	known	know	VERB
ap-7675	4	17	as	as	ADP
ap-7675	4	18	valley	valley	NOUN
ap-7675	4	19	index	index	NOUN
ap-7675	4	20	,	,	PUNCT
ap-7675	4	21	through	through	ADP
ap-7675	4	22	the	the	DET
ap-7675	4	23	time	time	NOUN
ap-7675	4	24	evolution	evolution	NOUN
ap-7675	4	25	of	of	ADP
ap-7675	4	26	probability	probability	NOUN
ap-7675	4	27	density	density	NOUN
ap-7675	4	28	of	of	ADP
ap-7675	4	29	coherent	coherent	ADJ
ap-7675	4	30	electron	electron	NOUN
ap-7675	4	31	states	state	NOUN
ap-7675	4	32	as	as	ADV
ap-7675	4	33	well	well	ADV
ap-7675	4	34	as	as	ADP
ap-7675	4	35	their	their	PRON
ap-7675	4	36	phase	phase	NOUN
ap-7675	4	37	-	-	PUNCT
ap-7675	4	38	space	space	NOUN
ap-7675	4	39	representation	representation	NOUN
ap-7675	4	40	obtained	obtain	VERB
ap-7675	4	41	via	via	ADP
ap-7675	4	42	the	the	DET
ap-7675	4	43	wigner	wigner	ADJ
ap-7675	4	44	function	function	NOUN
ap-7675	4	45	.	.	PUNCT
ap-7675	5	1	our	our	PRON
ap-7675	5	2	results	result	NOUN
ap-7675	5	3	show	show	VERB
ap-7675	5	4	that	that	SCONJ
ap-7675	5	5	the	the	DET
ap-7675	5	6	time	time	NOUN
ap-7675	5	7	evolution	evolution	NOUN
ap-7675	5	8	of	of	ADP
ap-7675	5	9	the	the	DET
ap-7675	5	10	coherent	coherent	ADJ
ap-7675	5	11	electron	electron	NOUN
ap-7675	5	12	states	state	NOUN
ap-7675	5	13	in	in	ADP
ap-7675	5	14	these	these	DET
ap-7675	5	15	materials	material	NOUN
ap-7675	5	16	is	be	AUX
ap-7675	5	17	valley	valley	NOUN
ap-7675	5	18	dependent	dependent	ADJ
ap-7675	5	19	,	,	PUNCT
ap-7675	5	20	which	which	PRON
ap-7675	5	21	is	be	AUX
ap-7675	5	22	reinforced	reinforce	VERB
ap-7675	5	23	in	in	ADP
ap-7675	5	24	the	the	DET
ap-7675	5	25	presence	presence	NOUN
ap-7675	5	26	of	of	ADP
ap-7675	5	27	external	external	ADJ
ap-7675	5	28	electric	electric	ADJ
ap-7675	5	29	fields	field	NOUN
ap-7675	5	30	.	.	PUNCT
ap-7675	6	1	keywords	keyword	NOUN
ap-7675	6	2	:	:	PUNCT
ap-7675	6	3	tilted	tilted	ADJ
ap-7675	6	4	dirac	dirac	NOUN
ap-7675	6	5	cones	cone	NOUN
ap-7675	6	6	,	,	PUNCT
ap-7675	6	7	anisotropic	anisotropic	NOUN
ap-7675	6	8	dirac	dirac	NOUN
ap-7675	6	9	materials	material	NOUN
ap-7675	6	10	,	,	PUNCT
ap-7675	6	11	borophene	borophene	NOUN
ap-7675	6	12	,	,	PUNCT
ap-7675	6	13	coherent	coherent	ADJ
ap-7675	6	14	states	state	NOUN
ap-7675	6	15	,	,	PUNCT
ap-7675	6	16	wigner	wigner	ADJ
ap-7675	6	17	function	function	NOUN
ap-7675	6	18	.	.	PUNCT
ap-7675	7	1	1	1	X
ap-7675	7	2	.	.	X
ap-7675	7	3	introduction	introduction	NOUN
ap-7675	7	4	coherent	coherent	ADJ
ap-7675	7	5	states	state	NOUN
ap-7675	7	6	(	(	PUNCT
ap-7675	7	7	css	css	PROPN
ap-7675	7	8	)	)	PUNCT
ap-7675	7	9	are	be	AUX
ap-7675	7	10	minimal	minimal	ADJ
ap-7675	7	11	uncertainty	uncertainty	NOUN
ap-7675	7	12	states	state	NOUN
ap-7675	7	13	[	[	X
ap-7675	7	14	1	1	NUM
ap-7675	7	15	,	,	PUNCT
ap-7675	7	16	2	2	NUM
ap-7675	7	17	]	]	PUNCT
ap-7675	7	18	,	,	PUNCT
ap-7675	7	19	so	so	SCONJ
ap-7675	7	20	that	that	SCONJ
ap-7675	7	21	they	they	PRON
ap-7675	7	22	are	be	AUX
ap-7675	7	23	considered	consider	VERB
ap-7675	7	24	the	the	DET
ap-7675	7	25	most	most	ADV
ap-7675	7	26	classical	classical	ADJ
ap-7675	7	27	states	state	NOUN
ap-7675	7	28	in	in	ADP
ap-7675	7	29	quantum	quantum	ADJ
ap-7675	7	30	mechanics	mechanic	NOUN
ap-7675	7	31	.	.	PUNCT
ap-7675	8	1	for	for	ADP
ap-7675	8	2	this	this	DET
ap-7675	8	3	reason	reason	NOUN
ap-7675	8	4	,	,	PUNCT
ap-7675	8	5	they	they	PRON
ap-7675	8	6	arise	arise	VERB
ap-7675	8	7	in	in	ADP
ap-7675	8	8	multiple	multiple	ADJ
ap-7675	8	9	branches	branch	NOUN
ap-7675	8	10	of	of	ADP
ap-7675	8	11	physics	physics	NOUN
ap-7675	8	12	,	,	PUNCT
ap-7675	8	13	mainly	mainly	ADV
ap-7675	8	14	in	in	ADP
ap-7675	8	15	quantum	quantum	ADJ
ap-7675	8	16	optics	optic	NOUN
ap-7675	8	17	[	[	X
ap-7675	8	18	2	2	NUM
ap-7675	8	19	]	]	PUNCT
ap-7675	8	20	and	and	CCONJ
ap-7675	8	21	information	information	NOUN
ap-7675	8	22	processes	process	NOUN
ap-7675	8	23	[	[	X
ap-7675	8	24	3	3	NUM
ap-7675	8	25	,	,	PUNCT
ap-7675	8	26	4	4	NUM
ap-7675	8	27	]	]	PUNCT
ap-7675	8	28	.	.	PUNCT
ap-7675	9	1	although	although	SCONJ
ap-7675	9	2	the	the	DET
ap-7675	9	3	wave	wave	NOUN
ap-7675	9	4	function	function	NOUN
ap-7675	9	5	provides	provide	VERB
ap-7675	9	6	interesting	interesting	ADJ
ap-7675	9	7	features	feature	NOUN
ap-7675	9	8	about	about	ADP
ap-7675	9	9	any	any	DET
ap-7675	9	10	state	state	NOUN
ap-7675	9	11	,	,	PUNCT
ap-7675	9	12	its	its	PRON
ap-7675	9	13	experimental	experimental	ADJ
ap-7675	9	14	realization	realization	NOUN
ap-7675	9	15	in	in	ADP
ap-7675	9	16	several	several	ADJ
ap-7675	9	17	quantum	quantum	ADJ
ap-7675	9	18	systems	system	NOUN
ap-7675	9	19	[	[	X
ap-7675	9	20	3	3	X
ap-7675	9	21	]	]	PUNCT
ap-7675	9	22	requires	require	VERB
ap-7675	9	23	a	a	DET
ap-7675	9	24	different	different	ADJ
ap-7675	9	25	approach	approach	NOUN
ap-7675	9	26	.	.	PUNCT
ap-7675	10	1	in	in	ADP
ap-7675	10	2	this	this	DET
ap-7675	10	3	sense	sense	NOUN
ap-7675	10	4	,	,	PUNCT
ap-7675	10	5	the	the	DET
ap-7675	10	6	wigner	wigner	ADJ
ap-7675	10	7	function	function	NOUN
ap-7675	10	8	(	(	PUNCT
ap-7675	10	9	wf	wf	PROPN
ap-7675	10	10	)	)	PUNCT
ap-7675	10	11	constitutes	constitute	VERB
ap-7675	10	12	one	one	NUM
ap-7675	10	13	of	of	ADP
ap-7675	10	14	the	the	DET
ap-7675	10	15	most	most	ADV
ap-7675	10	16	important	important	ADJ
ap-7675	10	17	theoretical	theoretical	ADJ
ap-7675	10	18	tools	tool	NOUN
ap-7675	10	19	for	for	ADP
ap-7675	10	20	describing	describe	VERB
ap-7675	10	21	quantum	quantum	NOUN
ap-7675	10	22	systems	system	NOUN
ap-7675	10	23	in	in	ADP
ap-7675	10	24	the	the	DET
ap-7675	10	25	phase	phase	NOUN
ap-7675	10	26	-	-	PUNCT
ap-7675	10	27	space	space	NOUN
ap-7675	10	28	representation	representation	NOUN
ap-7675	10	29	.	.	PUNCT
ap-7675	11	1	the	the	DET
ap-7675	11	2	wf	wf	PROPN
ap-7675	11	3	for	for	ADP
ap-7675	11	4	a	a	DET
ap-7675	11	5	bidimensional	bidimensional	ADJ
ap-7675	11	6	system	system	NOUN
ap-7675	11	7	is	be	AUX
ap-7675	11	8	a	a	DET
ap-7675	11	9	quasi	quasi	ADJ
ap-7675	11	10	-	-	ADJ
ap-7675	11	11	probability	probability	NOUN
ap-7675	11	12	distribution	distribution	NOUN
ap-7675	11	13	defined	define	VERB
ap-7675	11	14	as	as	ADP
ap-7675	11	15	[	[	X
ap-7675	11	16	5–7	5–7	X
ap-7675	11	17	]	]	X
ap-7675	11	18	w	w	NOUN
ap-7675	11	19	(	(	PUNCT
ap-7675	11	20	r	r	NOUN
ap-7675	11	21	,	,	PUNCT
ap-7675	11	22	p	p	NOUN
ap-7675	11	23	)	)	PUNCT
ap-7675	11	24	=	=	SYM
ap-7675	11	25	1	1	NUM
ap-7675	11	26	(	(	PUNCT
ap-7675	11	27	2π)2	2π)2	NUM
ap-7675	11	28	∫	∫	PROPN
ap-7675	11	29	∞	∞	PROPN
ap-7675	11	30	−∞	−∞	ADP
ap-7675	11	31	ei	ei	NOUN
ap-7675	11	32	p·q	p·q	NOUN
ap-7675	11	33	ψ	ψ	PROPN
ap-7675	11	34	(	(	PUNCT
ap-7675	11	35	r	r	NOUN
ap-7675	11	36	−	−	PROPN
ap-7675	11	37	q	q	NOUN
ap-7675	11	38	2	2	NUM
ap-7675	11	39	)	)	PUNCT
ap-7675	11	40	ψ†	ψ†	NOUN
ap-7675	12	1	(	(	PUNCT
ap-7675	12	2	r	r	X
ap-7675	12	3	+	+	CCONJ
ap-7675	12	4	q	q	NOUN
ap-7675	12	5	2	2	NUM
ap-7675	12	6	)	)	PUNCT
ap-7675	12	7	dq	dq	NOUN
ap-7675	12	8	,	,	PUNCT
ap-7675	12	9	(	(	PUNCT
ap-7675	12	10	1	1	X
ap-7675	12	11	)	)	PUNCT
ap-7675	12	12	where	where	SCONJ
ap-7675	12	13	ψ(r	ψ(r	NOUN
ap-7675	12	14	)	)	PUNCT
ap-7675	12	15	is	be	AUX
ap-7675	12	16	the	the	DET
ap-7675	12	17	wave	wave	NOUN
ap-7675	12	18	function	function	NOUN
ap-7675	12	19	,	,	PUNCT
ap-7675	12	20	r	r	NOUN
ap-7675	12	21	=	=	SYM
ap-7675	12	22	(	(	PUNCT
ap-7675	12	23	x	x	NOUN
ap-7675	12	24	,	,	PUNCT
ap-7675	12	25	y	y	PROPN
ap-7675	12	26	)	)	PUNCT
ap-7675	12	27	and	and	CCONJ
ap-7675	12	28	p	p	NOUN
ap-7675	12	29	=	=	SYM
ap-7675	12	30	(	(	PUNCT
ap-7675	12	31	px	px	PROPN
ap-7675	12	32	,	,	PUNCT
ap-7675	12	33	py	py	NOUN
ap-7675	12	34	)	)	PUNCT
ap-7675	12	35	are	be	AUX
ap-7675	12	36	two	two	NUM
ap-7675	12	37	-	-	PUNCT
ap-7675	12	38	dimensional	dimensional	ADJ
ap-7675	12	39	vectors	vector	NOUN
ap-7675	12	40	representing	represent	VERB
ap-7675	12	41	the	the	DET
ap-7675	12	42	classical	classical	ADJ
ap-7675	12	43	position	position	NOUN
ap-7675	12	44	and	and	CCONJ
ap-7675	12	45	momentum	momentum	NOUN
ap-7675	12	46	values	value	NOUN
ap-7675	12	47	in	in	ADP
ap-7675	12	48	phase	phase	NOUN
ap-7675	12	49	space	space	NOUN
ap-7675	12	50	,	,	PUNCT
ap-7675	12	51	respectively	respectively	ADV
ap-7675	12	52	;	;	PUNCT
ap-7675	12	53	and	and	CCONJ
ap-7675	12	54	q	q	NOUN
ap-7675	12	55	=	=	SYM
ap-7675	12	56	(	(	PUNCT
ap-7675	12	57	q1	q1	PROPN
ap-7675	12	58	,	,	PUNCT
ap-7675	12	59	q2	q2	NOUN
ap-7675	12	60	)	)	PUNCT
ap-7675	12	61	is	be	AUX
ap-7675	12	62	a	a	DET
ap-7675	12	63	position	position	NOUN
ap-7675	12	64	vector	vector	NOUN
ap-7675	12	65	needed	need	VERB
ap-7675	12	66	in	in	ADP
ap-7675	12	67	the	the	DET
ap-7675	12	68	integration	integration	NOUN
ap-7675	12	69	process	process	NOUN
ap-7675	12	70	.	.	PUNCT
ap-7675	13	1	in	in	ADP
ap-7675	13	2	contrast	contrast	NOUN
ap-7675	13	3	with	with	ADP
ap-7675	13	4	the	the	DET
ap-7675	13	5	probability	probability	NOUN
ap-7675	13	6	density	density	NOUN
ap-7675	13	7	of	of	ADP
ap-7675	13	8	any	any	DET
ap-7675	13	9	quantum	quantum	ADJ
ap-7675	13	10	state	state	NOUN
ap-7675	13	11	,	,	PUNCT
ap-7675	13	12	the	the	DET
ap-7675	13	13	wf	wf	PROPN
ap-7675	13	14	can	can	AUX
ap-7675	13	15	take	take	VERB
ap-7675	13	16	negative	negative	ADJ
ap-7675	13	17	values	value	NOUN
ap-7675	13	18	,	,	PUNCT
ap-7675	13	19	which	which	PRON
ap-7675	13	20	indicates	indicate	VERB
ap-7675	13	21	the	the	DET
ap-7675	13	22	nonclassicality	nonclassicality	NOUN
ap-7675	13	23	of	of	ADP
ap-7675	13	24	a	a	DET
ap-7675	13	25	state	state	NOUN
ap-7675	13	26	and	and	CCONJ
ap-7675	13	27	it	it	PRON
ap-7675	13	28	is	be	AUX
ap-7675	13	29	a	a	DET
ap-7675	13	30	sign	sign	NOUN
ap-7675	13	31	of	of	ADP
ap-7675	13	32	quantumness	quantumness	NOUN
ap-7675	14	1	[	[	X
ap-7675	14	2	3	3	NUM
ap-7675	14	3	,	,	PUNCT
ap-7675	14	4	8	8	NUM
ap-7675	14	5	,	,	PUNCT
ap-7675	14	6	9	9	NUM
ap-7675	14	7	]	]	PUNCT
ap-7675	14	8	.	.	PUNCT
ap-7675	15	1	despite	despite	SCONJ
ap-7675	15	2	this	this	PRON
ap-7675	15	3	,	,	PUNCT
ap-7675	15	4	it	it	PRON
ap-7675	15	5	has	have	AUX
ap-7675	15	6	been	be	AUX
ap-7675	15	7	implemented	implement	VERB
ap-7675	15	8	in	in	ADP
ap-7675	15	9	quantum	quantum	ADJ
ap-7675	15	10	optics	optic	NOUN
ap-7675	15	11	[	[	X
ap-7675	15	12	3	3	NUM
ap-7675	15	13	,	,	PUNCT
ap-7675	15	14	4	4	NUM
ap-7675	15	15	,	,	PUNCT
ap-7675	15	16	9–13	9–13	NOUN
ap-7675	15	17	]	]	PUNCT
ap-7675	15	18	,	,	PUNCT
ap-7675	15	19	and	and	CCONJ
ap-7675	15	20	recently	recently	ADV
ap-7675	15	21	also	also	ADV
ap-7675	15	22	applied	apply	VERB
ap-7675	15	23	in	in	ADP
ap-7675	15	24	condensed	condense	VERB
ap-7675	15	25	matter	matter	NOUN
ap-7675	15	26	for	for	ADP
ap-7675	15	27	studying	study	VERB
ap-7675	15	28	electron	electron	NOUN
ap-7675	15	29	dynamics	dynamic	NOUN
ap-7675	15	30	in	in	ADP
ap-7675	15	31	two	two	NUM
ap-7675	15	32	-	-	PUNCT
ap-7675	15	33	dimensional	dimensional	ADJ
ap-7675	15	34	materials	material	NOUN
ap-7675	15	35	,	,	PUNCT
ap-7675	15	36	particularly	particularly	ADV
ap-7675	15	37	in	in	ADP
ap-7675	15	38	graphene	graphene	NOUN
ap-7675	15	39	under	under	ADP
ap-7675	15	40	the	the	DET
ap-7675	15	41	presence	presence	NOUN
ap-7675	15	42	of	of	ADP
ap-7675	15	43	electromagnetic	electromagnetic	ADJ
ap-7675	15	44	fields	field	NOUN
ap-7675	15	45	[	[	X
ap-7675	15	46	3	3	NUM
ap-7675	15	47	,	,	PUNCT
ap-7675	15	48	14	14	NUM
ap-7675	15	49	–	–	SYM
ap-7675	15	50	26	26	NUM
ap-7675	15	51	]	]	PUNCT
ap-7675	15	52	as	as	ADV
ap-7675	15	53	well	well	ADV
ap-7675	15	54	as	as	ADP
ap-7675	15	55	in	in	ADP
ap-7675	15	56	strained	strained	ADJ
ap-7675	15	57	honeycomb	honeycomb	NOUN
ap-7675	15	58	lattices	lattice	NOUN
ap-7675	15	59	with	with	ADP
ap-7675	15	60	dispersive	dispersive	ADJ
ap-7675	15	61	pseudo	pseudo	NOUN
ap-7675	15	62	-	-	ADJ
ap-7675	15	63	landau	landau	NOUN
ap-7675	15	64	-	-	PUNCT
ap-7675	15	65	levels	level	NOUN
ap-7675	15	66	[	[	X
ap-7675	15	67	27	27	NUM
ap-7675	15	68	]	]	PUNCT
ap-7675	15	69	.	.	PUNCT
ap-7675	16	1	following	follow	VERB
ap-7675	16	2	this	this	DET
ap-7675	16	3	trend	trend	NOUN
ap-7675	16	4	,	,	PUNCT
ap-7675	16	5	and	and	CCONJ
ap-7675	16	6	since	since	SCONJ
ap-7675	16	7	the	the	DET
ap-7675	16	8	number	number	NOUN
ap-7675	16	9	of	of	ADP
ap-7675	16	10	twodimensional	twodimensional	ADJ
ap-7675	16	11	materials	material	NOUN
ap-7675	16	12	has	have	AUX
ap-7675	16	13	been	be	AUX
ap-7675	16	14	increasing	increase	VERB
ap-7675	16	15	recently	recently	ADV
ap-7675	16	16	,	,	PUNCT
ap-7675	16	17	our	our	PRON
ap-7675	16	18	aim	aim	NOUN
ap-7675	16	19	is	be	AUX
ap-7675	16	20	to	to	PART
ap-7675	16	21	provide	provide	VERB
ap-7675	16	22	an	an	DET
ap-7675	16	23	adequate	adequate	ADJ
ap-7675	16	24	description	description	NOUN
ap-7675	16	25	in	in	ADP
ap-7675	16	26	phase	phase	NOUN
ap-7675	16	27	space	space	NOUN
ap-7675	16	28	of	of	ADP
ap-7675	16	29	the	the	DET
ap-7675	16	30	physics	physics	NOUN
ap-7675	16	31	of	of	ADP
ap-7675	16	32	certain	certain	ADJ
ap-7675	16	33	quantum	quantum	ADJ
ap-7675	16	34	macroscopic	macroscopic	ADJ
ap-7675	16	35	phenomena	phenomenon	NOUN
ap-7675	16	36	,	,	PUNCT
ap-7675	16	37	and	and	CCONJ
ap-7675	16	38	their	their	PRON
ap-7675	16	39	semi	semi	ADJ
ap-7675	16	40	-	-	ADJ
ap-7675	16	41	classical	classical	ADJ
ap-7675	16	42	representation	representation	NOUN
ap-7675	16	43	,	,	PUNCT
ap-7675	16	44	that	that	PRON
ap-7675	16	45	occurs	occur	VERB
ap-7675	16	46	in	in	ADP
ap-7675	16	47	condensed	condense	VERB
ap-7675	16	48	matter	matter	NOUN
ap-7675	16	49	systems	system	NOUN
ap-7675	16	50	in	in	ADP
ap-7675	16	51	the	the	DET
ap-7675	16	52	context	context	NOUN
ap-7675	16	53	of	of	ADP
ap-7675	16	54	valleytronics	valleytronic	NOUN
ap-7675	16	55	[	[	X
ap-7675	16	56	28–30	28–30	NOUN
ap-7675	16	57	]	]	PUNCT
ap-7675	16	58	.	.	PUNCT
ap-7675	17	1	in	in	ADP
ap-7675	17	2	this	this	DET
ap-7675	17	3	emerging	emerge	VERB
ap-7675	17	4	research	research	NOUN
ap-7675	17	5	area	area	NOUN
ap-7675	17	6	,	,	PUNCT
ap-7675	17	7	two	two	NUM
ap-7675	17	8	-	-	PUNCT
ap-7675	17	9	dimensional	dimensional	ADJ
ap-7675	17	10	materials	material	NOUN
ap-7675	17	11	such	such	ADJ
ap-7675	17	12	as	as	ADP
ap-7675	17	13	8	8	NUM
ap-7675	17	14	−	−	NOUN
ap-7675	17	15	pmmn	pmmn	NOUN
ap-7675	17	16	borophene	borophene	NOUN
ap-7675	17	17	[	[	X
ap-7675	17	18	31–35	31–35	NUM
ap-7675	17	19	]	]	PUNCT
ap-7675	17	20	,	,	PUNCT
ap-7675	17	21	strained	strained	ADJ
ap-7675	17	22	graphene	graphene	NOUN
ap-7675	17	23	[	[	X
ap-7675	17	24	36	36	NUM
ap-7675	17	25	]	]	PUNCT
ap-7675	17	26	,	,	PUNCT
ap-7675	17	27	weyl	weyl	VERB
ap-7675	17	28	semimetals	semimetal	NOUN
ap-7675	18	1	[	[	X
ap-7675	18	2	37–40	37–40	NUM
ap-7675	18	3	]	]	PUNCT
ap-7675	18	4	,	,	PUNCT
ap-7675	18	5	and	and	CCONJ
ap-7675	18	6	the	the	DET
ap-7675	18	7	organic	organic	ADJ
ap-7675	18	8	compound	compound	NOUN
ap-7675	18	9	α-(bedt	α-(bedt	NOUN
ap-7675	18	10	-	-	PUNCT
ap-7675	18	11	ttf)2i3	ttf)2i3	VERB
ap-7675	19	1	[	[	X
ap-7675	19	2	41–44	41–44	NUM
ap-7675	19	3	]	]	PUNCT
ap-7675	19	4	,	,	PUNCT
ap-7675	19	5	characterize	characterize	VERB
ap-7675	19	6	due	due	ADP
ap-7675	19	7	to	to	ADP
ap-7675	19	8	the	the	DET
ap-7675	19	9	presence	presence	NOUN
ap-7675	19	10	of	of	ADP
ap-7675	19	11	anisotropy	anisotropy	NOUN
ap-7675	19	12	and	and	CCONJ
ap-7675	19	13	tilted	tilted	ADJ
ap-7675	19	14	dirac	dirac	NOUN
ap-7675	19	15	cones	cone	NOUN
ap-7675	19	16	at	at	ADP
ap-7675	19	17	their	their	PRON
ap-7675	19	18	low	low	ADJ
ap-7675	19	19	-	-	PUNCT
ap-7675	19	20	energy	energy	NOUN
ap-7675	19	21	band	band	NOUN
ap-7675	19	22	structure	structure	NOUN
ap-7675	19	23	[	[	X
ap-7675	19	24	31	31	NUM
ap-7675	19	25	,	,	PUNCT
ap-7675	19	26	32	32	NUM
ap-7675	19	27	,	,	PUNCT
ap-7675	19	28	40	40	NUM
ap-7675	19	29	,	,	PUNCT
ap-7675	19	30	43	43	NUM
ap-7675	19	31	,	,	PUNCT
ap-7675	19	32	45–53	45–53	NUM
ap-7675	19	33	]	]	PUNCT
ap-7675	19	34	.	.	PUNCT
ap-7675	20	1	the	the	DET
ap-7675	20	2	anisotropy	anisotropy	NOUN
ap-7675	20	3	and	and	CCONJ
ap-7675	20	4	tilt	tilt	NOUN
ap-7675	20	5	can	can	AUX
ap-7675	20	6	be	be	AUX
ap-7675	20	7	intrinsic	intrinsic	ADJ
ap-7675	20	8	,	,	PUNCT
ap-7675	20	9	as	as	SCONJ
ap-7675	20	10	occurs	occur	VERB
ap-7675	20	11	in	in	ADP
ap-7675	20	12	borophene	borophene	NOUN
ap-7675	20	13	[	[	X
ap-7675	20	14	31–34	31–34	NUM
ap-7675	20	15	]	]	PUNCT
ap-7675	20	16	and	and	CCONJ
ap-7675	20	17	phosphorene	phosphorene	NOUN
ap-7675	20	18	[	[	X
ap-7675	20	19	54	54	NUM
ap-7675	20	20	,	,	PUNCT
ap-7675	20	21	55	55	NUM
ap-7675	20	22	]	]	PUNCT
ap-7675	20	23	,	,	PUNCT
ap-7675	20	24	or	or	CCONJ
ap-7675	20	25	induced	induce	VERB
ap-7675	20	26	by	by	ADP
ap-7675	20	27	strain	strain	NOUN
ap-7675	20	28	-	-	PUNCT
ap-7675	20	29	engineering	engineering	NOUN
ap-7675	20	30	and	and	CCONJ
ap-7675	20	31	external	external	ADJ
ap-7675	20	32	electric	electric	ADJ
ap-7675	20	33	fields	field	NOUN
ap-7675	20	34	,	,	PUNCT
ap-7675	20	35	as	as	SCONJ
ap-7675	20	36	observed	observe	VERB
ap-7675	20	37	in	in	ADP
ap-7675	20	38	graphene	graphene	NOUN
ap-7675	20	39	[	[	X
ap-7675	20	40	20	20	NUM
ap-7675	20	41	,	,	PUNCT
ap-7675	20	42	36	36	NUM
ap-7675	20	43	,	,	PUNCT
ap-7675	20	44	56–72	56–72	NUM
ap-7675	20	45	]	]	PUNCT
ap-7675	20	46	.	.	PUNCT
ap-7675	21	1	in	in	ADP
ap-7675	21	2	this	this	DET
ap-7675	21	3	work	work	NOUN
ap-7675	21	4	,	,	PUNCT
ap-7675	21	5	we	we	PRON
ap-7675	21	6	will	will	AUX
ap-7675	21	7	focus	focus	VERB
ap-7675	21	8	on	on	ADP
ap-7675	21	9	two	two	NUM
ap-7675	21	10	-	-	PUNCT
ap-7675	21	11	dimensional	dimensional	ADJ
ap-7675	21	12	monolayers	monolayer	NOUN
ap-7675	21	13	of	of	ADP
ap-7675	21	14	boron	boron	NOUN
ap-7675	21	15	allotropes	allotrope	NOUN
ap-7675	21	16	,	,	PUNCT
ap-7675	21	17	8b	8b	NUM
ap-7675	21	18	and	and	CCONJ
ap-7675	21	19	2bh	2bh	ADJ
ap-7675	21	20	−	−	PROPN
ap-7675	21	21	pmmn	pmmn	NOUN
ap-7675	21	22	borophene	borophene	NOUN
ap-7675	21	23	[	[	X
ap-7675	21	24	73	73	NUM
ap-7675	21	25	]	]	PUNCT
ap-7675	21	26	,	,	PUNCT
ap-7675	21	27	which	which	PRON
ap-7675	21	28	have	have	AUX
ap-7675	21	29	recently	recently	ADV
ap-7675	21	30	attracted	attract	VERB
ap-7675	21	31	attention	attention	NOUN
ap-7675	21	32	due	due	ADP
ap-7675	21	33	to	to	ADP
ap-7675	21	34	the	the	DET
ap-7675	21	35	boron	boron	NOUN
ap-7675	21	36	capacity	capacity	NOUN
ap-7675	21	37	of	of	ADP
ap-7675	21	38	flexible	flexible	ADJ
ap-7675	21	39	bonding	bonding	NOUN
ap-7675	21	40	[	[	X
ap-7675	21	41	47	47	NUM
ap-7675	21	42	,	,	PUNCT
ap-7675	21	43	74	74	NUM
ap-7675	21	44	,	,	PUNCT
ap-7675	21	45	75	75	NUM
ap-7675	21	46	]	]	PUNCT
ap-7675	21	47	.	.	PUNCT
ap-7675	22	1	the	the	DET
ap-7675	22	2	geometry	geometry	NOUN
ap-7675	22	3	of	of	ADP
ap-7675	22	4	two	two	NUM
ap-7675	22	5	-	-	PUNCT
ap-7675	22	6	dimensional	dimensional	ADJ
ap-7675	22	7	boron	boron	NOUN
ap-7675	22	8	-	-	PUNCT
ap-7675	22	9	based	base	VERB
ap-7675	22	10	dirac	dirac	NOUN
ap-7675	22	11	cone	cone	NOUN
ap-7675	22	12	materials	material	NOUN
ap-7675	22	13	is	be	AUX
ap-7675	22	14	much	much	ADV
ap-7675	22	15	more	more	ADV
ap-7675	22	16	complicated	complicated	ADJ
ap-7675	22	17	than	than	ADP
ap-7675	22	18	that	that	PRON
ap-7675	22	19	of	of	ADP
ap-7675	22	20	the	the	DET
ap-7675	22	21	pristine	pristine	ADJ
ap-7675	22	22	honeycomb	honeycomb	NOUN
ap-7675	22	23	structure	structure	NOUN
ap-7675	22	24	of	of	ADP
ap-7675	22	25	graphene	graphene	NOUN
ap-7675	22	26	and	and	CCONJ
ap-7675	22	27	,	,	PUNCT
ap-7675	22	28	as	as	ADP
ap-7675	22	29	a	a	DET
ap-7675	22	30	consequence	consequence	NOUN
ap-7675	22	31	,	,	PUNCT
ap-7675	22	32	their	their	PRON
ap-7675	22	33	electronic	electronic	ADJ
ap-7675	22	34	and	and	CCONJ
ap-7675	22	35	transport	transport	NOUN
ap-7675	22	36	properties	property	NOUN
ap-7675	22	37	are	be	AUX
ap-7675	22	38	valley	valley	NOUN
ap-7675	22	39	dependent	dependent	ADJ
ap-7675	22	40	due	due	ADP
ap-7675	22	41	to	to	ADP
ap-7675	22	42	the	the	DET
ap-7675	22	43	tilting	tilting	NOUN
ap-7675	22	44	of	of	ADP
ap-7675	22	45	dirac	dirac	NOUN
ap-7675	22	46	cones	cone	NOUN
ap-7675	22	47	.	.	PUNCT
ap-7675	23	1	these	these	DET
ap-7675	23	2	features	feature	NOUN
ap-7675	23	3	motivate	motivate	VERB
ap-7675	23	4	the	the	DET
ap-7675	23	5	research	research	NOUN
ap-7675	23	6	of	of	ADP
ap-7675	23	7	unusual	unusual	ADJ
ap-7675	23	8	effects	effect	NOUN
ap-7675	23	9	by	by	ADP
ap-7675	23	10	the	the	DET
ap-7675	23	11	intrinsic	intrinsic	ADJ
ap-7675	23	12	dirac	dirac	NOUN
ap-7675	23	13	cone	cone	NOUN
ap-7675	23	14	tilt	tilt	NOUN
ap-7675	23	15	under	under	ADP
ap-7675	23	16	the	the	DET
ap-7675	23	17	presence	presence	NOUN
ap-7675	23	18	of	of	ADP
ap-7675	23	19	external	external	ADJ
ap-7675	23	20	electric	electric	ADJ
ap-7675	23	21	and	and	CCONJ
ap-7675	23	22	magnetic	magnetic	ADJ
ap-7675	23	23	fields	field	NOUN
ap-7675	23	24	.	.	PUNCT
ap-7675	24	1	for	for	ADP
ap-7675	24	2	instance	instance	NOUN
ap-7675	24	3	,	,	PUNCT
ap-7675	24	4	the	the	DET
ap-7675	24	5	study	study	NOUN
ap-7675	24	6	of	of	ADP
ap-7675	24	7	8	8	NUM
ap-7675	24	8	−	−	NOUN
ap-7675	24	9	pmmn	pmmn	NOUN
ap-7675	24	10	borophene	borophene	NOUN
ap-7675	24	11	conductivity	conductivity	NOUN
ap-7675	24	12	in	in	ADP
ap-7675	24	13	the	the	DET
ap-7675	24	14	presence	presence	NOUN
ap-7675	24	15	of	of	ADP
ap-7675	24	16	crossed	cross	VERB
ap-7675	24	17	electric	electric	ADJ
ap-7675	24	18	and	and	CCONJ
ap-7675	24	19	magnetic	magnetic	ADJ
ap-7675	24	20	fields	field	NOUN
ap-7675	24	21	exhibits	exhibit	VERB
ap-7675	24	22	a	a	DET
ap-7675	24	23	clear	clear	ADJ
ap-7675	24	24	valley	valley	NOUN
ap-7675	24	25	-	-	PUNCT
ap-7675	24	26	dependence	dependence	NOUN
ap-7675	24	27	in	in	ADP
ap-7675	24	28	magnetotransport	magnetotransport	NOUN
ap-7675	24	29	properties	property	NOUN
ap-7675	24	30	and	and	CCONJ
ap-7675	24	31	polarization	polarization	NOUN
ap-7675	24	32	currents	current	NOUN
ap-7675	24	33	[	[	X
ap-7675	24	34	33	33	NUM
ap-7675	24	35	,	,	PUNCT
ap-7675	24	36	34	34	NUM
ap-7675	24	37	]	]	PUNCT
ap-7675	24	38	.	.	PUNCT
ap-7675	25	1	it	it	PRON
ap-7675	25	2	exists	exist	VERB
ap-7675	25	3	the	the	DET
ap-7675	25	4	possibility	possibility	NOUN
ap-7675	25	5	of	of	ADP
ap-7675	25	6	the	the	DET
ap-7675	25	7	realization	realization	NOUN
ap-7675	25	8	of	of	ADP
ap-7675	25	9	coherent	coherent	ADJ
ap-7675	25	10	electron	electron	NOUN
ap-7675	25	11	states	state	NOUN
ap-7675	25	12	in	in	ADP
ap-7675	25	13	the	the	DET
ap-7675	25	14	laboratory	laboratory	NOUN
ap-7675	25	15	and	and	CCONJ
ap-7675	25	16	the	the	DET
ap-7675	25	17	development	development	NOUN
ap-7675	25	18	of	of	ADP
ap-7675	25	19	electron	electron	NOUN
ap-7675	25	20	quantum	quantum	NOUN
ap-7675	25	21	optics	optic	NOUN
ap-7675	25	22	[	[	X
ap-7675	25	23	15	15	NUM
ap-7675	25	24	,	,	PUNCT
ap-7675	25	25	76	76	NUM
ap-7675	25	26	,	,	PUNCT
ap-7675	25	27	77	77	NUM
ap-7675	25	28	]	]	PUNCT
ap-7675	25	29	due	due	ADP
ap-7675	25	30	to	to	ADP
ap-7675	25	31	the	the	DET
ap-7675	25	32	recent	recent	ADJ
ap-7675	25	33	advances	advance	NOUN
ap-7675	25	34	in	in	ADP
ap-7675	25	35	the	the	DET
ap-7675	25	36	experimental	experimental	ADJ
ap-7675	25	37	reconstruction	reconstruction	NOUN
ap-7675	25	38	of	of	ADP
ap-7675	25	39	the	the	DET
ap-7675	25	40	wf	wf	PROPN
ap-7675	25	41	of	of	ADP
ap-7675	25	42	electronic	electronic	ADJ
ap-7675	25	43	systems	system	NOUN
ap-7675	25	44	in	in	ADP
ap-7675	25	45	quantum	quantum	ADJ
ap-7675	25	46	tomography	tomography	NOUN
ap-7675	25	47	experiments	experiment	NOUN
ap-7675	25	48	.	.	PUNCT
ap-7675	26	1	38	38	NUM
ap-7675	26	2	https://doi.org/10.14311/ap.2022.62.0038	https://doi.org/10.14311/ap.2022.62.0038	PROPN
ap-7675	26	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7675	26	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7675	26	5	vol	vol	NOUN
ap-7675	26	6	.	.	PROPN
ap-7675	27	1	62	62	NUM
ap-7675	27	2	no	no	INTJ
ap-7675	27	3	.	.	PUNCT
ap-7675	28	1	1/2022	1/2022	NUM
ap-7675	28	2	coherent	coherent	ADJ
ap-7675	28	3	electron	electron	NOUN
ap-7675	28	4	states	state	NOUN
ap-7675	28	5	in	in	ADP
ap-7675	28	6	monolayers	monolayer	NOUN
ap-7675	28	7	of	of	ADP
ap-7675	28	8	boron	boron	NOUN
ap-7675	28	9	allotropes	allotrope	NOUN
ap-7675	28	10	thus	thus	ADV
ap-7675	28	11	,	,	PUNCT
ap-7675	28	12	this	this	DET
ap-7675	28	13	paper	paper	NOUN
ap-7675	28	14	is	be	AUX
ap-7675	28	15	organized	organize	VERB
ap-7675	28	16	as	as	SCONJ
ap-7675	28	17	follows	follow	VERB
ap-7675	28	18	.	.	PUNCT
ap-7675	29	1	in	in	ADP
ap-7675	29	2	section	section	NOUN
ap-7675	29	3	2	2	NUM
ap-7675	29	4	,	,	PUNCT
ap-7675	29	5	we	we	PRON
ap-7675	29	6	describe	describe	VERB
ap-7675	29	7	the	the	DET
ap-7675	29	8	dirac	dirac	NOUN
ap-7675	29	9	hamiltonian	hamiltonian	NOUN
ap-7675	29	10	of	of	ADP
ap-7675	29	11	monolayers	monolayer	NOUN
ap-7675	29	12	of	of	ADP
ap-7675	29	13	boron	boron	NOUN
ap-7675	29	14	allotropes	allotrope	NOUN
ap-7675	29	15	at	at	ADP
ap-7675	29	16	low	low	ADJ
ap-7675	29	17	-	-	PUNCT
ap-7675	29	18	energy	energy	NOUN
ap-7675	29	19	regime	regime	NOUN
ap-7675	29	20	in	in	ADP
ap-7675	29	21	the	the	DET
ap-7675	29	22	presence	presence	NOUN
ap-7675	29	23	of	of	ADP
ap-7675	29	24	external	external	ADJ
ap-7675	29	25	electric	electric	ADJ
ap-7675	29	26	and	and	CCONJ
ap-7675	29	27	magnetic	magnetic	ADJ
ap-7675	29	28	fields	field	NOUN
ap-7675	29	29	,	,	PUNCT
ap-7675	29	30	and	and	CCONJ
ap-7675	29	31	obtain	obtain	VERB
ap-7675	29	32	the	the	DET
ap-7675	29	33	corresponding	correspond	VERB
ap-7675	29	34	landau	landau	NOUN
ap-7675	29	35	states	state	NOUN
ap-7675	29	36	and	and	CCONJ
ap-7675	29	37	energy	energy	NOUN
ap-7675	29	38	spectra	spectra	NOUN
ap-7675	29	39	.	.	PUNCT
ap-7675	30	1	in	in	ADP
ap-7675	30	2	section	section	NOUN
ap-7675	30	3	3	3	NUM
ap-7675	30	4	,	,	PUNCT
ap-7675	30	5	we	we	PRON
ap-7675	30	6	discuss	discuss	VERB
ap-7675	30	7	the	the	DET
ap-7675	30	8	construction	construction	NOUN
ap-7675	30	9	of	of	ADP
ap-7675	30	10	the	the	DET
ap-7675	30	11	matrix	matrix	NOUN
ap-7675	30	12	ladder	ladder	NOUN
ap-7675	30	13	operators	operator	NOUN
ap-7675	30	14	associated	associate	VERB
ap-7675	30	15	to	to	ADP
ap-7675	30	16	the	the	DET
ap-7675	30	17	physical	physical	ADJ
ap-7675	30	18	system	system	NOUN
ap-7675	30	19	and	and	CCONJ
ap-7675	30	20	also	also	ADV
ap-7675	30	21	construct	construct	VERB
ap-7675	30	22	the	the	DET
ap-7675	30	23	corresponding	corresponding	ADJ
ap-7675	30	24	coherent	coherent	ADJ
ap-7675	30	25	electron	electron	NOUN
ap-7675	30	26	states	state	NOUN
ap-7675	30	27	as	as	ADP
ap-7675	30	28	eigenstates	eigenstate	NOUN
ap-7675	30	29	of	of	ADP
ap-7675	30	30	the	the	DET
ap-7675	30	31	annihilation	annihilation	NOUN
ap-7675	30	32	operator	operator	NOUN
ap-7675	30	33	.	.	PUNCT
ap-7675	31	1	we	we	PRON
ap-7675	31	2	also	also	ADV
ap-7675	31	3	study	study	VERB
ap-7675	31	4	the	the	DET
ap-7675	31	5	time	time	NOUN
ap-7675	31	6	evolution	evolution	NOUN
ap-7675	31	7	of	of	ADP
ap-7675	31	8	the	the	DET
ap-7675	31	9	probability	probability	NOUN
ap-7675	31	10	density	density	NOUN
ap-7675	31	11	and	and	CCONJ
ap-7675	31	12	the	the	DET
ap-7675	31	13	corresponding	corresponding	ADJ
ap-7675	31	14	phase	phase	NOUN
ap-7675	31	15	-	-	PUNCT
ap-7675	31	16	space	space	NOUN
ap-7675	31	17	representation	representation	NOUN
ap-7675	31	18	.	.	PUNCT
ap-7675	32	1	in	in	ADP
ap-7675	32	2	section	section	NOUN
ap-7675	32	3	4	4	NUM
ap-7675	32	4	,	,	PUNCT
ap-7675	32	5	we	we	PRON
ap-7675	32	6	present	present	VERB
ap-7675	32	7	our	our	PRON
ap-7675	32	8	conclusions	conclusion	NOUN
ap-7675	32	9	.	.	PUNCT
ap-7675	33	1	2	2	X
ap-7675	33	2	.	.	X
ap-7675	33	3	electron	electron	NOUN
ap-7675	33	4	dynamics	dynamic	NOUN
ap-7675	33	5	in	in	ADP
ap-7675	33	6	monolayers	monolayer	NOUN
ap-7675	33	7	of	of	ADP
ap-7675	33	8	boron	boron	NOUN
ap-7675	33	9	allotropes	allotrope	NOUN
ap-7675	33	10	8	8	NUM
ap-7675	33	11	−	−	NOUN
ap-7675	33	12	pmmn	pmmn	NOUN
ap-7675	33	13	borophene	borophene	NOUN
ap-7675	34	1	[	[	X
ap-7675	34	2	31–34	31–34	NUM
ap-7675	34	3	]	]	PUNCT
ap-7675	34	4	and	and	CCONJ
ap-7675	34	5	other	other	ADJ
ap-7675	34	6	twodimensional	twodimensional	ADJ
ap-7675	34	7	monolayers	monolayer	NOUN
ap-7675	34	8	of	of	ADP
ap-7675	34	9	boron	boron	NOUN
ap-7675	34	10	allotropes	allotrope	NOUN
ap-7675	34	11	,	,	PUNCT
ap-7675	34	12	such	such	ADJ
ap-7675	34	13	as	as	ADP
ap-7675	34	14	8b	8b	NUM
ap-7675	34	15	and	and	CCONJ
ap-7675	34	16	2bh	2bh	ADJ
ap-7675	34	17	−	−	PROPN
ap-7675	34	18	pmmn	pmmn	NOUN
ap-7675	34	19	borophene	borophene	NOUN
ap-7675	34	20	[	[	X
ap-7675	34	21	73	73	NUM
ap-7675	34	22	]	]	PUNCT
ap-7675	34	23	,	,	PUNCT
ap-7675	34	24	present	present	ADJ
ap-7675	34	25	tilted	tilted	ADJ
ap-7675	34	26	dirac	dirac	NOUN
ap-7675	34	27	cones	cone	NOUN
ap-7675	34	28	at	at	ADP
ap-7675	34	29	their	their	PRON
ap-7675	34	30	low	low	ADJ
ap-7675	34	31	electronic	electronic	ADJ
ap-7675	34	32	band	band	NOUN
ap-7675	34	33	structure	structure	NOUN
ap-7675	34	34	,	,	PUNCT
ap-7675	34	35	so	so	SCONJ
ap-7675	34	36	that	that	SCONJ
ap-7675	34	37	their	their	PRON
ap-7675	34	38	electronic	electronic	ADJ
ap-7675	34	39	properties	property	NOUN
ap-7675	34	40	are	be	AUX
ap-7675	34	41	described	describe	VERB
ap-7675	34	42	by	by	ADP
ap-7675	34	43	the	the	DET
ap-7675	34	44	continuous	continuous	ADJ
ap-7675	34	45	dirac	dirac	NOUN
ap-7675	34	46	hamiltonian	hamiltonian	NOUN
ap-7675	34	47	h	h	NOUN
ap-7675	34	48	=	=	SYM
ap-7675	34	49	ν	ν	NOUN
ap-7675	34	50	(	(	PUNCT
ap-7675	34	51	vtσ0py	vtσ0py	ADJ
ap-7675	34	52	+	+	CCONJ
ap-7675	34	53	vxσxpx	vxσxpx	PROPN
ap-7675	34	54	+	+	CCONJ
ap-7675	34	55	vyσypy	vyσypy	NOUN
ap-7675	34	56	)	)	PUNCT
ap-7675	34	57	,	,	PUNCT
ap-7675	34	58	(	(	PUNCT
ap-7675	34	59	2	2	X
ap-7675	34	60	)	)	PUNCT
ap-7675	34	61	where	where	SCONJ
ap-7675	34	62	the	the	DET
ap-7675	34	63	matrices	matrix	NOUN
ap-7675	34	64	σx	σx	NOUN
ap-7675	34	65	,	,	PUNCT
ap-7675	34	66	y	y	PROPN
ap-7675	34	67	are	be	AUX
ap-7675	34	68	the	the	DET
ap-7675	34	69	pauli	pauli	PROPN
ap-7675	34	70	matrices	matrix	NOUN
ap-7675	34	71	,	,	PUNCT
ap-7675	34	72	while	while	SCONJ
ap-7675	34	73	σ0	σ0	NOUN
ap-7675	34	74	is	be	AUX
ap-7675	34	75	the	the	DET
ap-7675	34	76	identity	identity	NOUN
ap-7675	34	77	matrix	matrix	NOUN
ap-7675	34	78	.	.	PUNCT
ap-7675	35	1	the	the	DET
ap-7675	35	2	quantity	quantity	NOUN
ap-7675	35	3	ν	ν	NOUN
ap-7675	35	4	,	,	PUNCT
ap-7675	35	5	known	know	VERB
ap-7675	35	6	as	as	ADP
ap-7675	35	7	valley	valley	NOUN
ap-7675	35	8	index	index	NOUN
ap-7675	35	9	,	,	PUNCT
ap-7675	35	10	allows	allow	VERB
ap-7675	35	11	us	we	PRON
ap-7675	35	12	to	to	PART
ap-7675	35	13	transit	transit	VERB
ap-7675	35	14	from	from	ADP
ap-7675	35	15	valley	valley	PROPN
ap-7675	35	16	k	k	PROPN
ap-7675	35	17	(	(	PUNCT
ap-7675	35	18	ν	ν	X
ap-7675	35	19	=	=	SYM
ap-7675	35	20	1	1	NUM
ap-7675	35	21	)	)	PUNCT
ap-7675	35	22	to	to	ADP
ap-7675	35	23	valley	valley	NOUN
ap-7675	35	24	k	k	NOUN
ap-7675	35	25	’	'	PUNCT
ap-7675	35	26	(	(	PUNCT
ap-7675	35	27	ν	ν	X
ap-7675	35	28	=	=	SYM
ap-7675	35	29	−1	−1	NOUN
ap-7675	35	30	)	)	PUNCT
ap-7675	35	31	.	.	PUNCT
ap-7675	36	1	the	the	DET
ap-7675	36	2	terms	term	NOUN
ap-7675	36	3	vx	vx	X
ap-7675	36	4	and	and	CCONJ
ap-7675	36	5	vy	vy	NOUN
ap-7675	36	6	are	be	AUX
ap-7675	36	7	the	the	DET
ap-7675	36	8	anisotropic	anisotropic	NOUN
ap-7675	36	9	fermi	fermi	NOUN
ap-7675	36	10	velocities	velocity	NOUN
ap-7675	36	11	and	and	CCONJ
ap-7675	36	12	vt	vt	PROPN
ap-7675	36	13	is	be	AUX
ap-7675	36	14	the	the	DET
ap-7675	36	15	velocity	velocity	NOUN
ap-7675	36	16	that	that	PRON
ap-7675	36	17	quantifies	quantify	VERB
ap-7675	36	18	the	the	DET
ap-7675	36	19	tilting	tilting	NOUN
ap-7675	36	20	of	of	ADP
ap-7675	36	21	the	the	DET
ap-7675	36	22	dirac	dirac	NOUN
ap-7675	36	23	cone	cone	NOUN
ap-7675	36	24	.	.	PUNCT
ap-7675	37	1	these	these	DET
ap-7675	37	2	velocities	velocity	NOUN
ap-7675	37	3	depend	depend	VERB
ap-7675	37	4	on	on	ADP
ap-7675	37	5	the	the	DET
ap-7675	37	6	material	material	NOUN
ap-7675	37	7	.	.	PUNCT
ap-7675	38	1	for	for	ADP
ap-7675	38	2	instance	instance	NOUN
ap-7675	38	3	,	,	PUNCT
ap-7675	38	4	the	the	DET
ap-7675	38	5	velocity	velocity	NOUN
ap-7675	38	6	values	value	NOUN
ap-7675	38	7	{	{	PUNCT
ap-7675	38	8	vx	vx	PROPN
ap-7675	38	9	,	,	PUNCT
ap-7675	38	10	vy	vy	PROPN
ap-7675	38	11	,	,	PUNCT
ap-7675	38	12	vt	vt	NOUN
ap-7675	38	13	}	}	PUNCT
ap-7675	38	14	in	in	ADP
ap-7675	38	15	multiples	multiple	NOUN
ap-7675	38	16	of	of	ADP
ap-7675	38	17	the	the	DET
ap-7675	38	18	fermi	fermi	NOUN
ap-7675	38	19	velocity	velocity	NOUN
ap-7675	38	20	vf	vf	X
ap-7675	38	21	=	=	NOUN
ap-7675	38	22	1	1	NUM
ap-7675	38	23	for	for	ADP
ap-7675	38	24	three	three	NUM
ap-7675	38	25	different	different	ADJ
ap-7675	38	26	allotropes	allotrope	NOUN
ap-7675	38	27	of	of	ADP
ap-7675	38	28	boron	boron	NOUN
ap-7675	38	29	are	be	AUX
ap-7675	38	30	shown	show	VERB
ap-7675	38	31	in	in	ADP
ap-7675	38	32	table	table	NOUN
ap-7675	38	33	1	1	NUM
ap-7675	38	34	.	.	PUNCT
ap-7675	38	35	boron	boron	NOUN
ap-7675	38	36	allotrope	allotrope	NOUN
ap-7675	38	37	vx	vx	AUX
ap-7675	38	38	vy	vy	PROPN
ap-7675	38	39	vt	vt	PROPN
ap-7675	38	40	8	8	NUM
ap-7675	38	41	−	−	PROPN
ap-7675	38	42	pmmn	pmmn	NOUN
ap-7675	38	43	0.86	0.86	NUM
ap-7675	38	44	0.69	0.69	NUM
ap-7675	38	45	0.32	0.32	NUM
ap-7675	38	46	8b	8b	NUM
ap-7675	38	47	−	−	PROPN
ap-7675	38	48	pmmn	pmmn	NOUN
ap-7675	38	49	0.534	0.534	NUM
ap-7675	38	50	0.785	0.785	NUM
ap-7675	38	51	-0.345	-0.345	X
ap-7675	38	52	2bh	2bh	ADJ
ap-7675	38	53	−	−	PROPN
ap-7675	38	54	pmmn	pmmn	NOUN
ap-7675	38	55	0.77	0.77	NUM
ap-7675	38	56	1.348	1.348	NUM
ap-7675	38	57	-0.386	-0.386	X
ap-7675	38	58	table	table	NOUN
ap-7675	38	59	1	1	NUM
ap-7675	38	60	.	.	PUNCT
ap-7675	39	1	the	the	DET
ap-7675	39	2	velocities	velocity	NOUN
ap-7675	39	3	vx	vx	PROPN
ap-7675	39	4	,	,	PUNCT
ap-7675	39	5	vy	vy	PROPN
ap-7675	39	6	and	and	CCONJ
ap-7675	39	7	vt	vt	PROPN
ap-7675	39	8	in	in	ADP
ap-7675	39	9	units	unit	NOUN
ap-7675	39	10	of	of	ADP
ap-7675	39	11	the	the	DET
ap-7675	39	12	fermi	fermi	NOUN
ap-7675	39	13	velocity	velocity	NOUN
ap-7675	39	14	vf	vf	X
ap-7675	39	15	=	=	SYM
ap-7675	39	16	106	106	NUM
ap-7675	39	17	m	m	PROPN
ap-7675	39	18	/	/	SYM
ap-7675	39	19	s	s	PROPN
ap-7675	39	20	,	,	PUNCT
ap-7675	39	21	for	for	ADP
ap-7675	39	22	three	three	NUM
ap-7675	39	23	boron	boron	NOUN
ap-7675	39	24	allotropes	allotrope	NOUN
ap-7675	39	25	in	in	ADP
ap-7675	39	26	the	the	DET
ap-7675	39	27	low	low	ADJ
ap-7675	39	28	-	-	PUNCT
ap-7675	39	29	energy	energy	NOUN
ap-7675	39	30	single	single	ADJ
ap-7675	39	31	-	-	PUNCT
ap-7675	39	32	particle	particle	NOUN
ap-7675	39	33	effective	effective	ADJ
ap-7675	39	34	model	model	NOUN
ap-7675	39	35	.	.	PUNCT
ap-7675	40	1	2.1	2.1	NUM
ap-7675	40	2	.	.	PUNCT
ap-7675	40	3	effective	effective	ADJ
ap-7675	40	4	dirac	dirac	NOUN
ap-7675	40	5	-	-	PUNCT
ap-7675	40	6	weyl	weyl	VERB
ap-7675	40	7	hamiltonian	hamiltonian	NOUN
ap-7675	40	8	now	now	ADV
ap-7675	40	9	,	,	PUNCT
ap-7675	40	10	let	let	VERB
ap-7675	40	11	us	we	PRON
ap-7675	40	12	consider	consider	VERB
ap-7675	40	13	massless	massless	NOUN
ap-7675	40	14	dirac	dirac	NOUN
ap-7675	40	15	fermions	fermion	NOUN
ap-7675	40	16	in	in	ADP
ap-7675	40	17	a	a	DET
ap-7675	40	18	twodimensional	twodimensional	ADJ
ap-7675	40	19	boron	boron	NOUN
ap-7675	40	20	monolayer	monolayer	NOUN
ap-7675	40	21	under	under	ADP
ap-7675	40	22	the	the	DET
ap-7675	40	23	presence	presence	NOUN
ap-7675	40	24	of	of	ADP
ap-7675	40	25	an	an	DET
ap-7675	40	26	in	in	ADP
ap-7675	40	27	-	-	PUNCT
ap-7675	40	28	plane	plane	NOUN
ap-7675	40	29	electric	electric	ADJ
ap-7675	40	30	field	field	NOUN
ap-7675	40	31	e	e	NOUN
ap-7675	40	32	=	=	SYM
ap-7675	40	33	e	e	X
ap-7675	40	34	x̂	x̂	NOUN
ap-7675	40	35	and	and	CCONJ
ap-7675	40	36	a	a	DET
ap-7675	40	37	perpendicular	perpendicular	ADJ
ap-7675	40	38	magnetic	magnetic	ADJ
ap-7675	40	39	field	field	NOUN
ap-7675	40	40	b	b	NOUN
ap-7675	40	41	=	=	NOUN
ap-7675	40	42	bẑ.	bẑ.	NOUN
ap-7675	40	43	these	these	DET
ap-7675	40	44	fields	field	NOUN
ap-7675	40	45	are	be	AUX
ap-7675	40	46	included	include	VERB
ap-7675	40	47	in	in	ADP
ap-7675	40	48	the	the	DET
ap-7675	40	49	hamiltonian	hamiltonian	NOUN
ap-7675	40	50	in	in	ADP
ap-7675	40	51	eq	eq	PROPN
ap-7675	40	52	.	.	PUNCT
ap-7675	41	1	(	(	PUNCT
ap-7675	41	2	2	2	NUM
ap-7675	41	3	)	)	PUNCT
ap-7675	41	4	through	through	ADP
ap-7675	41	5	the	the	DET
ap-7675	41	6	scalar	scalar	ADJ
ap-7675	41	7	and	and	CCONJ
ap-7675	41	8	vector	vector	NOUN
ap-7675	41	9	potentials	potential	VERB
ap-7675	41	10	u	u	NOUN
ap-7675	41	11	=	=	NOUN
ap-7675	41	12	−x	−x	PROPN
ap-7675	41	13	e	e	NOUN
ap-7675	41	14	,	,	PUNCT
ap-7675	41	15	a	a	DET
ap-7675	41	16	=	=	SYM
ap-7675	41	17	xbŷ	xbŷ	PROPN
ap-7675	41	18	,	,	PUNCT
ap-7675	41	19	(	(	PUNCT
ap-7675	41	20	3	3	X
ap-7675	41	21	)	)	PUNCT
ap-7675	41	22	to	to	PART
ap-7675	41	23	obtain	obtain	VERB
ap-7675	41	24	the	the	DET
ap-7675	41	25	following	follow	VERB
ap-7675	41	26	eigenvalue	eigenvalue	ADJ
ap-7675	41	27	equation	equation	NOUN
ap-7675	41	28	in	in	ADP
ap-7675	41	29	natural	natural	ADJ
ap-7675	41	30	units	unit	NOUN
ap-7675	41	31	(	(	PUNCT
ap-7675	41	32	e	e	NOUN
ap-7675	41	33	=	=	SYM
ap-7675	41	34	−1	−1	NOUN
ap-7675	41	35	and	and	CCONJ
ap-7675	41	36	ℏ	ℏ	NOUN
ap-7675	41	37	=	=	SYM
ap-7675	41	38	1	1	X
ap-7675	41	39	)	)	PUNCT
ap-7675	42	1	[	[	X
ap-7675	42	2	35	35	NUM
ap-7675	42	3	,	,	PUNCT
ap-7675	42	4	42	42	NUM
ap-7675	42	5	,	,	PUNCT
ap-7675	42	6	43	43	NUM
ap-7675	42	7	]	]	X
ap-7675	42	8	:	:	PUNCT
ap-7675	42	9	h	h	NOUN
ap-7675	42	10	′ψ̄(r	′ψ̄(r	PUNCT
ap-7675	42	11	)	)	PUNCT
ap-7675	43	1	=	=	PUNCT
ap-7675	43	2	(	(	PUNCT
ap-7675	43	3	ν	ν	X
ap-7675	43	4	[	[	X
ap-7675	43	5	vxσxpx	vxσxpx	NOUN
ap-7675	43	6	+	+	CCONJ
ap-7675	43	7	(	(	PUNCT
ap-7675	43	8	vtσ0	vtσ0	NOUN
ap-7675	43	9	+	+	CCONJ
ap-7675	43	10	vyσy)(py	vyσy)(py	PROPN
ap-7675	43	11	+	+	CCONJ
ap-7675	43	12	xb	xb	PROPN
ap-7675	43	13	)	)	PUNCT
ap-7675	43	14	]	]	PUNCT
ap-7675	44	1	+	+	CCONJ
ap-7675	44	2	xeσ0	xeσ0	NOUN
ap-7675	44	3	)	)	PUNCT
ap-7675	44	4	ψ̄(r	ψ̄(r	NUM
ap-7675	44	5	)	)	PUNCT
ap-7675	44	6	=	=	SYM
ap-7675	45	1	eψ̄(r	eψ̄(r	NOUN
ap-7675	45	2	)	)	PUNCT
ap-7675	45	3	.	.	PUNCT
ap-7675	46	1	(	(	PUNCT
ap-7675	46	2	4	4	X
ap-7675	46	3	)	)	PUNCT
ap-7675	46	4	taking	take	VERB
ap-7675	46	5	advantage	advantage	NOUN
ap-7675	46	6	of	of	ADP
ap-7675	46	7	the	the	DET
ap-7675	46	8	translational	translational	ADJ
ap-7675	46	9	invariance	invariance	NOUN
ap-7675	46	10	along	along	ADP
ap-7675	46	11	the	the	DET
ap-7675	46	12	y	y	NOUN
ap-7675	46	13	-	-	PUNCT
ap-7675	46	14	axis	axis	ADJ
ap-7675	46	15	,	,	PUNCT
ap-7675	46	16	so	so	SCONJ
ap-7675	46	17	that	that	PRON
ap-7675	46	18	ψ̄(r	ψ̄(r	NOUN
ap-7675	46	19	)	)	PUNCT
ap-7675	46	20	=	=	SYM
ap-7675	46	21	exp(ikyy)ψ(x	exp(ikyy)ψ(x	NOUN
ap-7675	46	22	)	)	PUNCT
ap-7675	46	23	,	,	PUNCT
ap-7675	46	24	the	the	DET
ap-7675	46	25	eigenvalue	eigenvalue	PROPN
ap-7675	46	26	equation	equation	NOUN
ap-7675	46	27	in	in	ADP
ap-7675	46	28	eq	eq	ADP
ap-7675	46	29	.	.	PUNCT
ap-7675	47	1	(	(	PUNCT
ap-7675	47	2	4	4	X
ap-7675	47	3	)	)	PUNCT
ap-7675	47	4	becomes	become	VERB
ap-7675	47	5	:	:	PUNCT
ap-7675	48	1	[	[	X
ap-7675	48	2	(	(	PUNCT
ap-7675	48	3	e	e	X
ap-7675	48	4	−	−	PROPN
ap-7675	48	5	xc	xc	PROPN
ap-7675	48	6	e	e	PROPN
ap-7675	48	7	v′	v′	PROPN
ap-7675	48	8	f	f	X
ap-7675	48	9	)	)	PUNCT
ap-7675	48	10	σ0	σ0	PROPN
ap-7675	48	11	+	+	CCONJ
ap-7675	48	12	i∂xσx	i∂xσx	PROPN
ap-7675	48	13	−	−	PROPN
ap-7675	48	14	(	(	PUNCT
ap-7675	48	15	xc	xc	PROPN
ap-7675	48	16	ωb	ωb	PROPN
ap-7675	49	1	+	+	CCONJ
ap-7675	49	2	2kc	2kc	ADJ
ap-7675	49	3	y	y	PROPN
ap-7675	49	4	)	)	PUNCT
ap-7675	49	5	2	2	NUM
ap-7675	49	6	σy	σy	NOUN
ap-7675	49	7	]	]	PUNCT
ap-7675	49	8	ψ(x	ψ(x	NOUN
ap-7675	49	9	)	)	PUNCT
ap-7675	50	1	=	=	SYM
ap-7675	50	2	0	0	NUM
ap-7675	50	3	,	,	PUNCT
ap-7675	50	4	(	(	PUNCT
ap-7675	50	5	5	5	NUM
ap-7675	50	6	)	)	PUNCT
ap-7675	50	7	where	where	SCONJ
ap-7675	50	8	e	e	NOUN
ap-7675	50	9	=	=	SYM
ap-7675	50	10	e−	e−	PROPN
ap-7675	50	11	ν	ν	NOUN
ap-7675	50	12	vtky	vtky	NOUN
ap-7675	50	13	,	,	PUNCT
ap-7675	50	14	e	e	X
ap-7675	50	15	=	=	PUNCT
ap-7675	50	16	(	(	PUNCT
ap-7675	50	17	e	e	X
ap-7675	50	18	+	+	CCONJ
ap-7675	50	19	ν	ν	X
ap-7675	50	20	vtb	vtb	PROPN
ap-7675	50	21	)	)	PUNCT
ap-7675	50	22	√	√	ADP
ap-7675	50	23	vx	vx	PROPN
ap-7675	50	24	/	/	SYM
ap-7675	50	25	vy	vy	PROPN
ap-7675	50	26	,	,	PUNCT
ap-7675	50	27	ωb	ωb	NOUN
ap-7675	50	28	=	=	PUNCT
ap-7675	50	29	2b	2b	NOUN
ap-7675	50	30	,	,	PUNCT
ap-7675	50	31	xc	xc	X
ap-7675	50	32	=	=	PUNCT
ap-7675	50	33	x	x	PUNCT
ap-7675	50	34	√	√	ADP
ap-7675	50	35	vy	vy	INTJ
ap-7675	50	36	/	/	SYM
ap-7675	50	37	vx	vx	PROPN
ap-7675	50	38	,	,	PUNCT
ap-7675	50	39	kc	kc	PROPN
ap-7675	50	40	y	y	PROPN
ap-7675	50	41	=	=	PROPN
ap-7675	50	42	ky	ky	PROPN
ap-7675	50	43	√	√	PROPN
ap-7675	50	44	vy	vy	PROPN
ap-7675	50	45	/	/	SYM
ap-7675	50	46	vx	vx	NOUN
ap-7675	50	47	,	,	PUNCT
ap-7675	50	48	and	and	CCONJ
ap-7675	50	49	v′	v′	X
ap-7675	50	50	f	f	X
ap-7675	50	51	=	=	PUNCT
ap-7675	50	52	√	√	PROPN
ap-7675	50	53	vxvy	vxvy	NOUN
ap-7675	50	54	is	be	AUX
ap-7675	50	55	an	an	DET
ap-7675	50	56	effective	effective	ADJ
ap-7675	50	57	fermi	fermi	NOUN
ap-7675	50	58	velocity	velocity	NOUN
ap-7675	50	59	.	.	PUNCT
ap-7675	51	1	by	by	ADP
ap-7675	51	2	introducing	introduce	VERB
ap-7675	51	3	the	the	DET
ap-7675	51	4	parameter	parameter	NOUN
ap-7675	51	5	βν	βν	ADP
ap-7675	51	6	and	and	CCONJ
ap-7675	51	7	the	the	DET
ap-7675	51	8	dimensionless	dimensionless	NOUN
ap-7675	51	9	quantity	quantity	NOUN
ap-7675	51	10	ξ	ξ	PROPN
ap-7675	51	11	,	,	PUNCT
ap-7675	51	12	βν	βν	ADP
ap-7675	51	13	=	=	SYM
ap-7675	51	14	e	e	PROPN
ap-7675	51	15	v′	v′	NUM
ap-7675	51	16	fb	fb	NOUN
ap-7675	51	17	=	=	SYM
ap-7675	51	18	vd	vd	NOUN
ap-7675	51	19	vy	vy	NOUN
ap-7675	51	20	+	+	CCONJ
ap-7675	51	21	ν	ν	PROPN
ap-7675	51	22	vt	vt	PROPN
ap-7675	51	23	vy	vy	PROPN
ap-7675	51	24	,	,	PUNCT
ap-7675	51	25	ξ	ξ	X
ap-7675	51	26	=	=	SYM
ap-7675	51	27	√	√	PROPN
ap-7675	51	28	ωb	ωb	NUM
ap-7675	51	29	2	2	NUM
ap-7675	51	30	(	(	PUNCT
ap-7675	51	31	xc	xc	PROPN
ap-7675	51	32	+	+	CCONJ
ap-7675	51	33	2kc	2kc	PROPN
ap-7675	51	34	y	y	PROPN
ap-7675	51	35	ωb	ωb	NOUN
ap-7675	51	36	)	)	PUNCT
ap-7675	51	37	,	,	PUNCT
ap-7675	51	38	(	(	PUNCT
ap-7675	51	39	6	6	NUM
ap-7675	51	40	)	)	PUNCT
ap-7675	51	41	with	with	ADP
ap-7675	51	42	vd	vd	NOUN
ap-7675	51	43	=	=	SYM
ap-7675	51	44	e	e	X
ap-7675	51	45	/	/	SYM
ap-7675	51	46	b	b	PROPN
ap-7675	51	47	being	be	AUX
ap-7675	51	48	the	the	DET
ap-7675	51	49	drift	drift	NOUN
ap-7675	51	50	velocity	velocity	NOUN
ap-7675	51	51	,	,	PUNCT
ap-7675	51	52	eq	eq	NOUN
ap-7675	51	53	.	.	PUNCT
ap-7675	51	54	(	(	PUNCT
ap-7675	51	55	5	5	X
ap-7675	51	56	)	)	PUNCT
ap-7675	51	57	can	can	AUX
ap-7675	51	58	be	be	AUX
ap-7675	51	59	rewritten	rewrite	VERB
ap-7675	51	60	as	as	ADP
ap-7675	51	61	[	[	X
ap-7675	51	62	(	(	PUNCT
ap-7675	51	63	ϵ0	ϵ0	ADJ
ap-7675	51	64	−	−	NOUN
ap-7675	51	65	√	√	NUM
ap-7675	51	66	ωb	ωb	DET
ap-7675	51	67	2	2	NUM
ap-7675	51	68	βνξ	βνξ	NOUN
ap-7675	51	69	)	)	PUNCT
ap-7675	52	1	σ0+i	σ0+i	VERB
ap-7675	52	2	√	√	PROPN
ap-7675	52	3	ωb	ωb	ADP
ap-7675	53	1	2	2	NUM
ap-7675	53	2	d	d	NOUN
ap-7675	53	3	dξ	dξ	PROPN
ap-7675	53	4	σx−	σx−	PROPN
ap-7675	53	5	√	√	ADJ
ap-7675	53	6	ωb	ωb	NUM
ap-7675	53	7	2	2	NUM
ap-7675	53	8	ξσy	ξσy	NOUN
ap-7675	53	9	]	]	PUNCT
ap-7675	53	10	ψ(ξ	ψ(ξ	X
ap-7675	53	11	)	)	PUNCT
ap-7675	54	1	=	=	SYM
ap-7675	54	2	0	0	NUM
ap-7675	54	3	,	,	PUNCT
ap-7675	54	4	(	(	PUNCT
ap-7675	54	5	7	7	X
ap-7675	54	6	)	)	PUNCT
ap-7675	54	7	where	where	SCONJ
ap-7675	54	8	ϵ0	ϵ0	ADJ
ap-7675	54	9	=	=	SYM
ap-7675	54	10	e	e	X
ap-7675	54	11	/	/	SYM
ap-7675	54	12	v′	v′	NOUN
ap-7675	54	13	f	f	NOUN
ap-7675	55	1	+	+	CCONJ
ap-7675	55	2	kc	kc	PROPN
ap-7675	55	3	yβν	yβν	PROPN
ap-7675	55	4	=	=	SYM
ap-7675	55	5	(	(	PUNCT
ap-7675	55	6	e	e	PROPN
ap-7675	55	7	+	+	PROPN
ap-7675	55	8	kyvd)/v′	kyvd)/v′	PROPN
ap-7675	55	9	f.	f.	PROPN
ap-7675	55	10	2.1.1	2.1.1	NUM
ap-7675	55	11	.	.	PUNCT
ap-7675	56	1	energy	energy	NOUN
ap-7675	56	2	spectrum	spectrum	NOUN
ap-7675	56	3	in	in	ADP
ap-7675	56	4	order	order	NOUN
ap-7675	56	5	to	to	PART
ap-7675	56	6	find	find	VERB
ap-7675	56	7	the	the	DET
ap-7675	56	8	solutions	solution	NOUN
ap-7675	56	9	of	of	ADP
ap-7675	56	10	the	the	DET
ap-7675	56	11	initial	initial	ADJ
ap-7675	56	12	problem	problem	NOUN
ap-7675	56	13	,	,	PUNCT
ap-7675	56	14	we	we	PRON
ap-7675	56	15	proceed	proceed	VERB
ap-7675	56	16	as	as	SCONJ
ap-7675	56	17	follows	follow	VERB
ap-7675	56	18	[	[	X
ap-7675	56	19	78	78	NUM
ap-7675	56	20	,	,	PUNCT
ap-7675	56	21	79	79	NUM
ap-7675	56	22	]	]	PUNCT
ap-7675	56	23	.	.	PUNCT
ap-7675	57	1	multiplying	multiply	VERB
ap-7675	57	2	by	by	ADP
ap-7675	57	3	−iσx	−iσx	NOUN
ap-7675	57	4	to	to	ADP
ap-7675	57	5	the	the	DET
ap-7675	57	6	left	left	NOUN
ap-7675	57	7	of	of	ADP
ap-7675	57	8	eq	eq	PROPN
ap-7675	57	9	.	.	PUNCT
ap-7675	58	1	(	(	PUNCT
ap-7675	58	2	7	7	NUM
ap-7675	58	3	)	)	PUNCT
ap-7675	58	4	,	,	PUNCT
ap-7675	58	5	we	we	PRON
ap-7675	58	6	get:[√	get:[√	VERB
ap-7675	58	7	ωb	ωb	ADP
ap-7675	58	8	2	2	NUM
ap-7675	58	9	d	d	NOUN
ap-7675	58	10	dξ	dξ	NOUN
ap-7675	58	11	σ0	σ0	PROPN
ap-7675	58	12	−	−	PROPN
ap-7675	59	1	i	i	PRON
ap-7675	59	2	(	(	PUNCT
ap-7675	59	3	ϵ0	ϵ0	ADJ
ap-7675	59	4	−	−	NOUN
ap-7675	59	5	√	√	NUM
ap-7675	59	6	ωb	ωb	DET
ap-7675	59	7	2	2	NUM
ap-7675	59	8	βνξ	βνξ	NOUN
ap-7675	59	9	)	)	PUNCT
ap-7675	59	10	σxσ0	σxσ0	PROPN
ap-7675	60	1	+	+	CCONJ
ap-7675	61	1	i	i	PRON
ap-7675	61	2	√	√	VERB
ap-7675	61	3	ωb	ωb	NUM
ap-7675	61	4	2	2	NUM
ap-7675	61	5	ξσxσy	ξσxσy	NOUN
ap-7675	61	6	]	]	PUNCT
ap-7675	61	7	ψ(ξ	ψ(ξ	PUNCT
ap-7675	61	8	)	)	PUNCT
ap-7675	62	1	=	=	PUNCT
ap-7675	62	2	0	0	X
ap-7675	62	3	.	.	PUNCT
ap-7675	63	1	(	(	PUNCT
ap-7675	63	2	8)	8)	NUM
ap-7675	63	3	differentiating	differentiate	VERB
ap-7675	63	4	the	the	DET
ap-7675	63	5	above	above	ADJ
ap-7675	63	6	expression	expression	NOUN
ap-7675	63	7	with	with	ADP
ap-7675	63	8	respect	respect	NOUN
ap-7675	63	9	to	to	ADP
ap-7675	63	10	ξ	ξ	PROPN
ap-7675	63	11	,	,	PUNCT
ap-7675	63	12	we	we	PRON
ap-7675	63	13	obtain	obtain	VERB
ap-7675	63	14	the	the	DET
ap-7675	63	15	following	follow	VERB
ap-7675	63	16	equation	equation	NOUN
ap-7675	63	17	[	[	X
ap-7675	63	18	(	(	PUNCT
ap-7675	63	19	d2	d2	PROPN
ap-7675	63	20	dξ2	dξ2	NOUN
ap-7675	63	21	+	+	CCONJ
ap-7675	63	22	(	(	PUNCT
ap-7675	63	23	√	√	NUM
ap-7675	63	24	2	2	NUM
ap-7675	63	25	ωb	ωb	NOUN
ap-7675	63	26	ϵ0	ϵ0	ADJ
ap-7675	63	27	−	−	PROPN
ap-7675	63	28	βνξ	βνξ	NOUN
ap-7675	63	29	)	)	PUNCT
ap-7675	63	30	2	2	NUM
ap-7675	63	31	−	−	PROPN
ap-7675	63	32	ξ2	ξ2	NOUN
ap-7675	63	33	)	)	PUNCT
ap-7675	64	1	σ0	σ0	PROPN
ap-7675	65	1	+	+	CCONJ
ap-7675	65	2	k	k	X
ap-7675	65	3	]	]	PUNCT
ap-7675	65	4	ψ(ξ	ψ(ξ	PUNCT
ap-7675	65	5	)	)	PUNCT
ap-7675	66	1	=	=	SYM
ap-7675	66	2	0	0	NUM
ap-7675	66	3	,	,	PUNCT
ap-7675	66	4	(	(	PUNCT
ap-7675	66	5	9	9	X
ap-7675	66	6	)	)	PUNCT
ap-7675	67	1	where	where	SCONJ
ap-7675	67	2	k	k	NOUN
ap-7675	68	1	=	=	PUNCT
ap-7675	69	1	i	i	PROPN
ap-7675	69	2	(	(	PUNCT
ap-7675	69	3	σxβν	σxβν	NOUN
ap-7675	69	4	+	+	CCONJ
ap-7675	69	5	σxσy	σxσy	NOUN
ap-7675	69	6	)	)	PUNCT
ap-7675	69	7	is	be	AUX
ap-7675	69	8	a	a	DET
ap-7675	69	9	complex	complex	ADJ
ap-7675	69	10	symmetric	symmetric	ADJ
ap-7675	69	11	matrix	matrix	NOUN
ap-7675	69	12	.	.	PUNCT
ap-7675	70	1	the	the	DET
ap-7675	70	2	solutions	solution	NOUN
ap-7675	70	3	of	of	ADP
ap-7675	70	4	eq	eq	PROPN
ap-7675	70	5	.	.	PUNCT
ap-7675	71	1	(	(	PUNCT
ap-7675	71	2	9	9	X
ap-7675	71	3	)	)	PUNCT
ap-7675	71	4	can	can	AUX
ap-7675	71	5	be	be	AUX
ap-7675	71	6	expressed	express	VERB
ap-7675	71	7	as	as	ADP
ap-7675	71	8	ψ(ξ)η	ψ(ξ)η	PROPN
ap-7675	71	9	=	=	PUNCT
ap-7675	71	10	ψη(ξ)χη	ψη(ξ)χη	NOUN
ap-7675	71	11	,	,	PUNCT
ap-7675	71	12	where	where	SCONJ
ap-7675	71	13	χη	χη	PUNCT
ap-7675	71	14	fulfills	fulfill	VERB
ap-7675	71	15	the	the	DET
ap-7675	71	16	eigenvalue	eigenvalue	PROPN
ap-7675	71	17	equation	equation	NOUN
ap-7675	71	18	kχη	kχη	NOUN
ap-7675	71	19	=	=	SYM
ap-7675	71	20	ηχη	ηχη	PROPN
ap-7675	71	21	,	,	PUNCT
ap-7675	71	22	and	and	CCONJ
ap-7675	71	23	ψη(ξ	ψη(ξ	NUM
ap-7675	71	24	)	)	PUNCT
ap-7675	71	25	is	be	AUX
ap-7675	71	26	a	a	DET
ap-7675	71	27	scalar	scalar	ADJ
ap-7675	71	28	function	function	NOUN
ap-7675	71	29	that	that	PRON
ap-7675	71	30	satisfies	satisfy	VERB
ap-7675	71	31	the	the	DET
ap-7675	71	32	differential	differential	ADJ
ap-7675	71	33	equation	equation	NOUN
ap-7675	71	34	[	[	PUNCT
ap-7675	71	35	d2	d2	NOUN
ap-7675	71	36	dξ2	dξ2	NOUN
ap-7675	71	37	+	+	CCONJ
ap-7675	71	38	(	(	PUNCT
ap-7675	71	39	√	√	NUM
ap-7675	71	40	2	2	NUM
ap-7675	71	41	ωb	ωb	NOUN
ap-7675	71	42	ϵ0	ϵ0	ADJ
ap-7675	71	43	−	−	PROPN
ap-7675	71	44	βνξ	βνξ	NOUN
ap-7675	71	45	)	)	PUNCT
ap-7675	71	46	2	2	NUM
ap-7675	71	47	−	−	NOUN
ap-7675	71	48	ξ2	ξ2	NOUN
ap-7675	72	1	+	+	CCONJ
ap-7675	72	2	η	η	PROPN
ap-7675	72	3	]	]	PUNCT
ap-7675	72	4	ψη(ξ	ψη(ξ	PUNCT
ap-7675	72	5	)	)	PUNCT
ap-7675	73	1	=	=	SYM
ap-7675	73	2	0	0	X
ap-7675	73	3	.	.	PUNCT
ap-7675	74	1	(	(	PUNCT
ap-7675	74	2	10	10	NUM
ap-7675	74	3	)	)	PUNCT
ap-7675	74	4	in	in	ADP
ap-7675	74	5	order	order	NOUN
ap-7675	74	6	to	to	PART
ap-7675	74	7	simplify	simplify	VERB
ap-7675	74	8	the	the	DET
ap-7675	74	9	above	above	ADJ
ap-7675	74	10	equation	equation	NOUN
ap-7675	74	11	,	,	PUNCT
ap-7675	74	12	the	the	DET
ap-7675	74	13	variable	variable	ADJ
ap-7675	74	14	ζ	ζ	NOUN
ap-7675	74	15	is	be	AUX
ap-7675	74	16	defined	define	VERB
ap-7675	74	17	as	as	ADP
ap-7675	74	18	ζ	ζ	NOUN
ap-7675	74	19	=	=	SYM
ap-7675	74	20	ξ(1	ξ(1	PROPN
ap-7675	74	21	−	−	PROPN
ap-7675	74	22	β2	β2	PROPN
ap-7675	74	23	ν)1/4	ν)1/4	PUNCT
ap-7675	75	1	+	+	CCONJ
ap-7675	75	2	√	√	NUM
ap-7675	75	3	2	2	NUM
ap-7675	75	4	ωb	ωb	NOUN
ap-7675	75	5	βν	βν	CCONJ
ap-7675	75	6	ϵ0	ϵ0	VERB
ap-7675	75	7	(	(	PUNCT
ap-7675	75	8	1	1	NUM
ap-7675	75	9	−	−	NOUN
ap-7675	75	10	β2	β2	PROPN
ap-7675	75	11	ν)3/4	ν)3/4	PROPN
ap-7675	75	12	,	,	PUNCT
ap-7675	75	13	(	(	PUNCT
ap-7675	75	14	11	11	NUM
ap-7675	75	15	)	)	PUNCT
ap-7675	75	16	39	39	NUM
ap-7675	75	17	erik	erik	NOUN
ap-7675	75	18	díaz	díaz	PROPN
ap-7675	75	19	-	-	PUNCT
ap-7675	75	20	bautista	bautista	PROPN
ap-7675	75	21	acta	acta	PROPN
ap-7675	75	22	polytechnica	polytechnica	PROPN
ap-7675	75	23	(	(	PUNCT
ap-7675	75	24	a	a	NOUN
ap-7675	75	25	)	)	PUNCT
ap-7675	75	26	ν	ν	NOUN
ap-7675	75	27	=	=	SYM
ap-7675	75	28	1	1	NUM
ap-7675	75	29	(	(	PUNCT
ap-7675	75	30	b	b	NOUN
ap-7675	75	31	)	)	PUNCT
ap-7675	75	32	ν	ν	NOUN
ap-7675	75	33	=	=	SYM
ap-7675	75	34	−1	−1	NOUN
ap-7675	75	35	0.00	0.00	NUM
ap-7675	75	36	0.25	0.25	NUM
ap-7675	75	37	0.50	0.50	NUM
ap-7675	75	38	0.75	0.75	NUM
ap-7675	75	39	1.00­2.0	1.00­2.0	PROPN
ap-7675	75	40	­1.0	­1.0	PROPN
ap-7675	75	41	0.0	0.0	NUM
ap-7675	75	42	1.0	1.0	NUM
ap-7675	75	43	2.0	2.0	NUM
ap-7675	75	44	e	e	NOUN
ap-7675	75	45	 	 	SPACE
ap-7675	76	1	[	[	X
ap-7675	76	2	e	e	X
ap-7675	76	3	v	v	NOUN
ap-7675	76	4	]	]	PUNCT
ap-7675	76	5	n	n	NOUN
ap-7675	76	6	=	=	SYM
ap-7675	76	7	0	0	NUM
ap-7675	76	8	n	n	PROPN
ap-7675	76	9	=	=	SYM
ap-7675	76	10	±	±	NUM
ap-7675	76	11	1	1	NUM
ap-7675	76	12	n	n	NOUN
ap-7675	76	13	=	=	SYM
ap-7675	76	14	±	±	NUM
ap-7675	76	15	2	2	NUM
ap-7675	76	16	n	n	NOUN
ap-7675	76	17	=	=	SYM
ap-7675	76	18	±	±	NUM
ap-7675	76	19	3	3	NUM
ap-7675	76	20	n	n	NOUN
ap-7675	76	21	=	=	SYM
ap-7675	76	22	±	±	NUM
ap-7675	76	23	4	4	NUM
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ap-7675	76	25	0.1	0.1	NUM
ap-7675	76	26	0.2	0.2	NUM
ap-7675	76	27	0.3	0.3	NUM
ap-7675	76	28	0.4	0.4	NUM
ap-7675	76	29	­1.5	­1.5	NOUN
ap-7675	76	30	­1.0	­1.0	PROPN
ap-7675	76	31	­0.5	­0.5	VERB
ap-7675	76	32	0.0	0.0	NUM
ap-7675	76	33	0.5	0.5	NUM
ap-7675	76	34	1.0	1.0	NUM
ap-7675	76	35	1.5	1.5	NUM
ap-7675	76	36	e	e	NOUN
ap-7675	76	37	 	 	SPACE
ap-7675	77	1	[	[	X
ap-7675	77	2	e	e	X
ap-7675	77	3	v	v	NOUN
ap-7675	77	4	]	]	PUNCT
ap-7675	77	5	n	n	NOUN
ap-7675	77	6	=	=	SYM
ap-7675	77	7	0	0	NUM
ap-7675	77	8	n	n	PROPN
ap-7675	77	9	=	=	SYM
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ap-7675	77	11	1	1	NUM
ap-7675	77	12	n	n	NOUN
ap-7675	77	13	=	=	SYM
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ap-7675	77	15	2	2	NUM
ap-7675	77	16	n	n	NOUN
ap-7675	77	17	=	=	SYM
ap-7675	77	18	±	±	NUM
ap-7675	77	19	3	3	NUM
ap-7675	77	20	n	n	NOUN
ap-7675	77	21	=	=	SYM
ap-7675	77	22	±	±	NOUN
ap-7675	77	23	4	4	NUM
ap-7675	77	24	(	(	PUNCT
ap-7675	77	25	c	c	NOUN
ap-7675	77	26	)	)	PUNCT
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ap-7675	77	28	=	=	SYM
ap-7675	77	29	1	1	NUM
ap-7675	77	30	(	(	PUNCT
ap-7675	77	31	d	d	NOUN
ap-7675	77	32	)	)	PUNCT
ap-7675	77	33	ν	ν	NOUN
ap-7675	77	34	=	=	SYM
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ap-7675	77	36	0.0	0.0	NUM
ap-7675	77	37	0.5	0.5	NUM
ap-7675	77	38	1.0	1.0	NUM
ap-7675	77	39	1.5	1.5	NUM
ap-7675	77	40	­3.0	­3.0	NOUN
ap-7675	77	41	­2.0	­2.0	PROPN
ap-7675	77	42	­1.0	­1.0	PROPN
ap-7675	77	43	0.0	0.0	NUM
ap-7675	77	44	1.0	1.0	NUM
ap-7675	77	45	2.0	2.0	NUM
ap-7675	77	46	3.0	3.0	NUM
ap-7675	77	47	e	e	NOUN
ap-7675	77	48	 	 	SPACE
ap-7675	78	1	[	[	X
ap-7675	78	2	e	e	X
ap-7675	78	3	v	v	NOUN
ap-7675	78	4	]	]	PUNCT
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ap-7675	78	9	=	=	SYM
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ap-7675	78	11	1	1	NUM
ap-7675	78	12	n	n	NOUN
ap-7675	78	13	=	=	SYM
ap-7675	78	14	±	±	NUM
ap-7675	78	15	2	2	NUM
ap-7675	78	16	n	n	NOUN
ap-7675	78	17	=	=	SYM
ap-7675	78	18	±	±	NUM
ap-7675	78	19	3	3	NUM
ap-7675	78	20	n	n	NOUN
ap-7675	78	21	=	=	SYM
ap-7675	78	22	±	±	NUM
ap-7675	78	23	4	4	NUM
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ap-7675	78	25	0.2	0.2	NUM
ap-7675	78	26	0.4	0.4	NUM
ap-7675	78	27	0.6	0.6	NUM
ap-7675	78	28	0.8	0.8	NUM
ap-7675	78	29	1.0	1.0	NUM
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ap-7675	78	31	­1.0	­1.0	PROPN
ap-7675	78	32	0.0	0.0	NUM
ap-7675	78	33	1.0	1.0	NUM
ap-7675	78	34	2.0	2.0	NUM
ap-7675	78	35	e	e	NOUN
ap-7675	78	36	 	 	SPACE
ap-7675	79	1	[	[	X
ap-7675	79	2	e	e	X
ap-7675	79	3	v	v	NOUN
ap-7675	79	4	]	]	PUNCT
ap-7675	79	5	n	n	NOUN
ap-7675	79	6	=	=	SYM
ap-7675	79	7	0	0	NUM
ap-7675	79	8	n	n	PROPN
ap-7675	79	9	=	=	SYM
ap-7675	79	10	±	±	NUM
ap-7675	79	11	1	1	NUM
ap-7675	79	12	n	n	NOUN
ap-7675	79	13	=	=	SYM
ap-7675	79	14	±	±	NUM
ap-7675	79	15	2	2	NUM
ap-7675	79	16	n	n	NOUN
ap-7675	79	17	=	=	SYM
ap-7675	79	18	±	±	NUM
ap-7675	79	19	3	3	NUM
ap-7675	79	20	n	n	NOUN
ap-7675	79	21	=	=	SYM
ap-7675	79	22	±	±	NUM
ap-7675	79	23	4	4	NUM
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ap-7675	79	25	1	1	NUM
ap-7675	79	26	.	.	PUNCT
ap-7675	80	1	energy	energy	NOUN
ap-7675	80	2	spectrum	spectrum	NOUN
ap-7675	80	3	in	in	ADP
ap-7675	80	4	eq	eq	ADP
ap-7675	80	5	.	.	PUNCT
ap-7675	81	1	(	(	PUNCT
ap-7675	81	2	15	15	NUM
ap-7675	81	3	)	)	PUNCT
ap-7675	81	4	with	with	ADP
ap-7675	81	5	ky	ky	PROPN
ap-7675	81	6	=	=	PUNCT
ap-7675	81	7	0	0	NUM
ap-7675	81	8	and	and	CCONJ
ap-7675	81	9	b	b	X
ap-7675	82	1	=	=	SYM
ap-7675	82	2	1	1	NUM
ap-7675	82	3	as	as	ADP
ap-7675	82	4	a	a	DET
ap-7675	82	5	function	function	NOUN
ap-7675	82	6	of	of	ADP
ap-7675	82	7	the	the	DET
ap-7675	82	8	electric	electric	ADJ
ap-7675	82	9	field	field	NOUN
ap-7675	82	10	e	e	PROPN
ap-7675	82	11	for	for	ADP
ap-7675	82	12	8b	8b	PROPN
ap-7675	82	13	−	−	PROPN
ap-7675	82	14	pmmn	pmmn	NOUN
ap-7675	82	15	borophene	borophene	NOUN
ap-7675	82	16	(	(	PUNCT
ap-7675	82	17	a	a	DET
ap-7675	82	18	,	,	PUNCT
ap-7675	82	19	b	b	NOUN
ap-7675	82	20	)	)	PUNCT
ap-7675	82	21	and	and	CCONJ
ap-7675	82	22	2bh	2bh	ADJ
ap-7675	82	23	−	−	PROPN
ap-7675	82	24	pmmn	pmmn	NOUN
ap-7675	82	25	(	(	PUNCT
ap-7675	82	26	c	c	X
ap-7675	82	27	,	,	PUNCT
ap-7675	82	28	d	d	NOUN
ap-7675	82	29	)	)	PUNCT
ap-7675	82	30	in	in	ADP
ap-7675	82	31	each	each	DET
ap-7675	82	32	dirac	dirac	NOUN
ap-7675	82	33	point	point	NOUN
ap-7675	82	34	(	(	PUNCT
ap-7675	82	35	ν	ν	X
ap-7675	82	36	=	=	SYM
ap-7675	82	37	±1	±1	PROPN
ap-7675	82	38	)	)	PUNCT
ap-7675	82	39	.	.	PUNCT
ap-7675	83	1	where	where	SCONJ
ap-7675	83	2	βν	βν	PRON
ap-7675	83	3	must	must	AUX
ap-7675	83	4	fulfill	fulfill	VERB
ap-7675	83	5	the	the	DET
ap-7675	83	6	condition	condition	NOUN
ap-7675	83	7	|βν	|βν	X
ap-7675	84	1	|	|	NOUN
ap-7675	84	2	<	<	X
ap-7675	84	3	1	1	NUM
ap-7675	84	4	for	for	ADP
ap-7675	84	5	keeping	keep	VERB
ap-7675	84	6	real	real	ADJ
ap-7675	84	7	values	value	NOUN
ap-7675	84	8	of	of	ADP
ap-7675	84	9	ζ	ζ	NOUN
ap-7675	84	10	.	.	PUNCT
ap-7675	85	1	hence	hence	ADV
ap-7675	85	2	,	,	PUNCT
ap-7675	85	3	we	we	PRON
ap-7675	85	4	obtain	obtain	VERB
ap-7675	85	5	the	the	DET
ap-7675	85	6	weber	weber	PROPN
ap-7675	85	7	equation	equation	NOUN
ap-7675	85	8	[	[	PUNCT
ap-7675	85	9	d2	d2	NOUN
ap-7675	85	10	dζ2	dζ2	INTJ
ap-7675	85	11	−	−	PROPN
ap-7675	85	12	ζ2	ζ2	NOUN
ap-7675	85	13	+	+	CCONJ
ap-7675	85	14	2ϵ2	2ϵ2	NUM
ap-7675	85	15	0	0	NUM
ap-7675	86	1	ωb(1	ωb(1	PRON
ap-7675	86	2	−	−	NOUN
ap-7675	86	3	β2	β2	ADJ
ap-7675	86	4	ν)3/2	ν)3/2	PROPN
ap-7675	87	1	+	+	CCONJ
ap-7675	87	2	η	η	PROPN
ap-7675	87	3	(	(	PUNCT
ap-7675	87	4	1	1	NUM
ap-7675	87	5	−	−	PROPN
ap-7675	87	6	β2	β2	NOUN
ap-7675	87	7	ν)1/2	ν)1/2	PROPN
ap-7675	87	8	]	]	PUNCT
ap-7675	87	9	ψη(ζ	ψη(ζ	PUNCT
ap-7675	87	10	)	)	PUNCT
ap-7675	87	11	=	=	SYM
ap-7675	87	12	0	0	X
ap-7675	87	13	.	.	PUNCT
ap-7675	88	1	(	(	PUNCT
ap-7675	88	2	12	12	NUM
ap-7675	88	3	)	)	PUNCT
ap-7675	88	4	on	on	ADP
ap-7675	88	5	the	the	DET
ap-7675	88	6	other	other	ADJ
ap-7675	88	7	hand	hand	NOUN
ap-7675	88	8	,	,	PUNCT
ap-7675	88	9	the	the	DET
ap-7675	88	10	eigenvalues	eigenvalues	PROPN
ap-7675	88	11	η	η	PROPN
ap-7675	88	12	of	of	ADP
ap-7675	88	13	the	the	DET
ap-7675	88	14	matrix	matrix	NOUN
ap-7675	88	15	k	k	X
ap-7675	88	16	turn	turn	VERB
ap-7675	88	17	out	out	ADP
ap-7675	88	18	to	to	PART
ap-7675	88	19	be	be	AUX
ap-7675	88	20	σ(k	σ(k	NOUN
ap-7675	88	21	)	)	PUNCT
ap-7675	88	22	=	=	PRON
ap-7675	88	23	{	{	PUNCT
ap-7675	88	24	ηk	ηk	PROPN
ap-7675	88	25	=	=	PUNCT
ap-7675	88	26	(	(	PUNCT
ap-7675	88	27	−1)k(1	−1)k(1	NOUN
ap-7675	88	28	−	−	PROPN
ap-7675	88	29	β2	β2	PROPN
ap-7675	88	30	ν)1/2	ν)1/2	VERB
ap-7675	88	31	}	}	PUNCT
ap-7675	88	32	with	with	ADP
ap-7675	88	33	k	k	PROPN
ap-7675	88	34	=	=	SYM
ap-7675	88	35	1	1	NUM
ap-7675	88	36	,	,	PUNCT
ap-7675	88	37	2	2	NUM
ap-7675	88	38	,	,	PUNCT
ap-7675	88	39	while	while	SCONJ
ap-7675	88	40	the	the	DET
ap-7675	88	41	corresponding	corresponding	ADJ
ap-7675	88	42	normalized	normalize	VERB
ap-7675	88	43	eigenvectors	eigenvector	NOUN
ap-7675	88	44	are	be	AUX
ap-7675	88	45	given	give	VERB
ap-7675	88	46	by	by	ADP
ap-7675	88	47	χη1	χη1	NOUN
ap-7675	88	48	=	=	SYM
ap-7675	88	49	1√	1√	PROPN
ap-7675	88	50	2	2	NUM
ap-7675	88	51	(	(	PUNCT
ap-7675	88	52	√	√	NUM
ap-7675	88	53	c+	c+	VERB
ap-7675	88	54	−i	−i	ADJ
ap-7675	88	55	√	√	ADP
ap-7675	88	56	c−	c−	NUM
ap-7675	88	57	)	)	PUNCT
ap-7675	88	58	,	,	PUNCT
ap-7675	88	59	χη2	χη2	NOUN
ap-7675	89	1	=	=	SYM
ap-7675	89	2	1√	1√	PROPN
ap-7675	89	3	2	2	NUM
ap-7675	89	4	(	(	PUNCT
ap-7675	89	5	−	−	NOUN
ap-7675	89	6	√	√	ADP
ap-7675	89	7	c−	c−	NOUN
ap-7675	90	1	i	i	PRON
ap-7675	90	2	√	√	VERB
ap-7675	90	3	c+	c+	VERB
ap-7675	90	4	)	)	PUNCT
ap-7675	90	5	,	,	PUNCT
ap-7675	90	6	(	(	PUNCT
ap-7675	90	7	13	13	NUM
ap-7675	90	8	)	)	PUNCT
ap-7675	90	9	where	where	SCONJ
ap-7675	90	10	c±	c±	PROPN
ap-7675	90	11	=	=	PROPN
ap-7675	90	12	1±	1±	NUM
ap-7675	90	13	√	√	NUM
ap-7675	90	14	1	1	NUM
ap-7675	90	15	−	−	NOUN
ap-7675	90	16	β2	β2	NOUN
ap-7675	90	17	ν	ν	NOUN
ap-7675	90	18	.	.	PUNCT
ap-7675	91	1	substituting	substitute	VERB
ap-7675	91	2	the	the	DET
ap-7675	91	3	eigenvalues	eigenvalue	NOUN
ap-7675	91	4	ηk	ηk	INTJ
ap-7675	91	5	in	in	ADP
ap-7675	91	6	eq	eq	ADP
ap-7675	91	7	.	.	PUNCT
ap-7675	92	1	(	(	PUNCT
ap-7675	92	2	12	12	NUM
ap-7675	92	3	)	)	PUNCT
ap-7675	92	4	and	and	CCONJ
ap-7675	92	5	taking	take	VERB
ap-7675	92	6	ψη(ζ	ψη(ζ	NOUN
ap-7675	92	7	)	)	PUNCT
ap-7675	92	8	=	=	SYM
ap-7675	92	9	exp	exp	NOUN
ap-7675	92	10	(	(	PUNCT
ap-7675	92	11	−ζ2/2	−ζ2/2	PROPN
ap-7675	92	12	)	)	PUNCT
ap-7675	92	13	fη(ζ	fη(ζ	PROPN
ap-7675	92	14	)	)	PUNCT
ap-7675	92	15	,	,	PUNCT
ap-7675	92	16	one	one	PRON
ap-7675	92	17	gets	get	VERB
ap-7675	92	18	the	the	DET
ap-7675	92	19	following	following	ADJ
ap-7675	92	20	ode	ode	PROPN
ap-7675	92	21	:	:	PUNCT
ap-7675	92	22	f	f	PROPN
ap-7675	92	23	′′	′′	PROPN
ap-7675	92	24	η	η	PROPN
ap-7675	92	25	(	(	PUNCT
ap-7675	92	26	ζ	ζ	NOUN
ap-7675	92	27	)	)	PUNCT
ap-7675	92	28	−	−	PROPN
ap-7675	92	29	2	2	NUM
ap-7675	92	30	ζf	ζf	NOUN
ap-7675	92	31	′	′	NUM
ap-7675	92	32	η(ζ	η(ζ	PROPN
ap-7675	92	33	)	)	PUNCT
ap-7675	92	34	=	=	PRON
ap-7675	92	35	(	(	PUNCT
ap-7675	92	36	1	1	NUM
ap-7675	92	37	−	−	PROPN
ap-7675	92	38	(	(	PUNCT
ap-7675	92	39	−1)k	−1)k	PROPN
ap-7675	92	40	−	−	PROPN
ap-7675	92	41	2ϵ2	2ϵ2	NUM
ap-7675	92	42	0	0	NUM
ap-7675	92	43	/	/	SYM
ap-7675	92	44	ωb	ωb	NOUN
ap-7675	92	45	(	(	PUNCT
ap-7675	92	46	1	1	NUM
ap-7675	92	47	−	−	NOUN
ap-7675	92	48	β2	β2	VERB
ap-7675	92	49	ν)3/2	ν)3/2	PROPN
ap-7675	92	50	)	)	PUNCT
ap-7675	92	51	fη(ζ	fη(ζ	PROPN
ap-7675	92	52	)	)	PUNCT
ap-7675	92	53	,	,	PUNCT
ap-7675	92	54	(	(	PUNCT
ap-7675	92	55	14	14	NUM
ap-7675	92	56	)	)	PUNCT
ap-7675	92	57	with	with	ADP
ap-7675	92	58	k	k	PROPN
ap-7675	92	59	=	=	SYM
ap-7675	92	60	1	1	NUM
ap-7675	92	61	,	,	PUNCT
ap-7675	92	62	2	2	NUM
ap-7675	92	63	.	.	PUNCT
ap-7675	92	64	by	by	ADP
ap-7675	92	65	solving	solve	VERB
ap-7675	92	66	the	the	DET
ap-7675	92	67	above	above	ADJ
ap-7675	92	68	ode	ode	PROPN
ap-7675	92	69	,	,	PUNCT
ap-7675	92	70	the	the	DET
ap-7675	92	71	energy	energy	NOUN
ap-7675	92	72	spectrum	spectrum	NOUN
ap-7675	92	73	turns	turn	VERB
ap-7675	92	74	out	out	ADP
ap-7675	92	75	to	to	PART
ap-7675	92	76	be	be	AUX
ap-7675	92	77	[	[	X
ap-7675	92	78	80	80	NUM
ap-7675	92	79	]	]	PUNCT
ap-7675	92	80	(	(	PUNCT
ap-7675	92	81	see	see	VERB
ap-7675	92	82	figure	figure	NOUN
ap-7675	92	83	1	1	NUM
ap-7675	92	84	):	):	PUNCT
ap-7675	92	85	en	en	X
ap-7675	92	86	,	,	PUNCT
ap-7675	92	87	ky	ky	PROPN
ap-7675	92	88	=	=	PROPN
ap-7675	92	89	sgn(n)√vxvy(1−β2	sgn(n)√vxvy(1−β2	PROPN
ap-7675	92	90	ν)3/4	ν)3/4	PROPN
ap-7675	92	91	√	√	ADV
ap-7675	92	92	ωb|n|−ky	ωb|n|−ky	NUM
ap-7675	92	93	vd	vd	NOUN
ap-7675	92	94	.	.	PUNCT
ap-7675	93	1	(	(	PUNCT
ap-7675	93	2	15	15	NUM
ap-7675	93	3	)	)	PUNCT
ap-7675	93	4	the	the	DET
ap-7675	93	5	landau	landau	NOUN
ap-7675	93	6	energy	energy	NOUN
ap-7675	93	7	levels	level	NOUN
ap-7675	93	8	in	in	ADP
ap-7675	93	9	eq	eq	ADP
ap-7675	93	10	.	.	PUNCT
ap-7675	94	1	(	(	PUNCT
ap-7675	94	2	15	15	NUM
ap-7675	94	3	)	)	PUNCT
ap-7675	94	4	depend	depend	VERB
ap-7675	94	5	on	on	ADP
ap-7675	94	6	valleys	valley	NOUN
ap-7675	94	7	k	k	PROPN
ap-7675	94	8	and	and	CCONJ
ap-7675	94	9	k	k	NOUN
ap-7675	94	10	’	'	PUNCT
ap-7675	95	1	[	[	X
ap-7675	95	2	43	43	NUM
ap-7675	95	3	]	]	PUNCT
ap-7675	95	4	via	via	ADP
ap-7675	95	5	the	the	DET
ap-7675	95	6	amount	amount	NOUN
ap-7675	95	7	βν	βν	ADP
ap-7675	95	8	in	in	ADP
ap-7675	95	9	eq	eq	NOUN
ap-7675	95	10	.	.	PUNCT
ap-7675	96	1	(	(	PUNCT
ap-7675	96	2	6	6	NUM
ap-7675	96	3	)	)	PUNCT
ap-7675	96	4	,	,	PUNCT
ap-7675	96	5	which	which	PRON
ap-7675	96	6	indicates	indicate	VERB
ap-7675	96	7	whether	whether	SCONJ
ap-7675	96	8	the	the	DET
ap-7675	96	9	orbits	orbit	NOUN
ap-7675	96	10	are	be	AUX
ap-7675	96	11	closed	close	VERB
ap-7675	96	12	(	(	PUNCT
ap-7675	96	13	|βν	|βν	X
ap-7675	96	14	|	|	NOUN
ap-7675	96	15	<	<	X
ap-7675	96	16	1	1	NUM
ap-7675	96	17	)	)	PUNCT
ap-7675	96	18	or	or	CCONJ
ap-7675	96	19	opened	open	VERB
ap-7675	96	20	(	(	PUNCT
ap-7675	96	21	|βν	|βν	X
ap-7675	96	22	|	|	ADV
ap-7675	96	23	≥	≥	NOUN
ap-7675	96	24	1	1	NUM
ap-7675	96	25	)	)	PUNCT
ap-7675	97	1	[	[	X
ap-7675	97	2	43	43	NUM
ap-7675	97	3	,	,	PUNCT
ap-7675	97	4	80	80	NUM
ap-7675	97	5	,	,	PUNCT
ap-7675	97	6	81	81	NUM
ap-7675	97	7	]	]	PUNCT
ap-7675	97	8	.	.	PUNCT
ap-7675	98	1	also	also	ADV
ap-7675	98	2	,	,	PUNCT
ap-7675	98	3	the	the	DET
ap-7675	98	4	critical	critical	ADJ
ap-7675	98	5	values	value	NOUN
ap-7675	98	6	of	of	ADP
ap-7675	98	7	vc	vc	PROPN
ap-7675	98	8	d	d	PROPN
ap-7675	98	9	=	=	SYM
ap-7675	98	10	ec	ec	PROPN
ap-7675	98	11	for	for	ADP
ap-7675	98	12	which	which	PRON
ap-7675	98	13	βν	βν	ADP
ap-7675	98	14	=	=	SYM
ap-7675	98	15	1	1	NUM
ap-7675	98	16	depend	depend	VERB
ap-7675	98	17	on	on	ADP
ap-7675	98	18	each	each	DET
ap-7675	98	19	tilted	tilt	VERB
ap-7675	98	20	anisotropic	anisotropic	NOUN
ap-7675	98	21	dirac	dirac	NOUN
ap-7675	98	22	material	material	NOUN
ap-7675	98	23	(	(	PUNCT
ap-7675	98	24	see	see	VERB
ap-7675	98	25	again	again	ADV
ap-7675	98	26	figure	figure	VERB
ap-7675	98	27	1	1	NUM
ap-7675	98	28	)	)	PUNCT
ap-7675	98	29	.	.	PUNCT
ap-7675	99	1	for	for	ADP
ap-7675	99	2	instance	instance	NOUN
ap-7675	99	3	,	,	PUNCT
ap-7675	99	4	in	in	ADP
ap-7675	99	5	table	table	NOUN
ap-7675	99	6	2	2	NUM
ap-7675	99	7	we	we	PRON
ap-7675	99	8	summarize	summarize	VERB
ap-7675	99	9	the	the	DET
ap-7675	99	10	critical	critical	ADJ
ap-7675	99	11	values	value	NOUN
ap-7675	99	12	ec	ec	PROPN
ap-7675	99	13	in	in	ADP
ap-7675	99	14	valleys	valley	NOUN
ap-7675	99	15	k	k	PROPN
ap-7675	99	16	and	and	CCONJ
ap-7675	99	17	k	k	NOUN
ap-7675	99	18	’	'	PUNCT
ap-7675	99	19	for	for	ADP
ap-7675	99	20	three	three	NUM
ap-7675	99	21	monolayers	monolayer	NOUN
ap-7675	99	22	of	of	ADP
ap-7675	99	23	boron	boron	NOUN
ap-7675	99	24	allotropes	allotrope	NOUN
ap-7675	99	25	.	.	PUNCT
ap-7675	100	1	borophene	borophene	NOUN
ap-7675	100	2	monolayer	monolayer	NOUN
ap-7675	100	3	ec	ec	PROPN
ap-7675	100	4	(	(	PUNCT
ap-7675	100	5	k	k	NOUN
ap-7675	100	6	)	)	PUNCT
ap-7675	100	7	ec	ec	PROPN
ap-7675	100	8	(	(	PUNCT
ap-7675	100	9	k	k	NOUN
ap-7675	100	10	’	'	PUNCT
ap-7675	100	11	)	)	PUNCT
ap-7675	100	12	8	8	NUM
ap-7675	100	13	−	−	PROPN
ap-7675	100	14	pmmn	pmmn	NOUN
ap-7675	100	15	0.37	0.37	NUM
ap-7675	100	16	1.01	1.01	NUM
ap-7675	100	17	8b	8b	NUM
ap-7675	100	18	−	−	PROPN
ap-7675	100	19	pmmn	pmmn	NOUN
ap-7675	100	20	1.13	1.13	NUM
ap-7675	100	21	0.44	0.44	NUM
ap-7675	100	22	2bh	2bh	ADJ
ap-7675	100	23	−	−	PROPN
ap-7675	100	24	pmmn	pmmn	NOUN
ap-7675	100	25	1.734	1.734	NUM
ap-7675	100	26	0.962	0.962	NUM
ap-7675	100	27	table	table	NOUN
ap-7675	100	28	2	2	NUM
ap-7675	100	29	.	.	PUNCT
ap-7675	101	1	the	the	DET
ap-7675	101	2	electric	electric	ADJ
ap-7675	101	3	field	field	NOUN
ap-7675	101	4	critical	critical	ADJ
ap-7675	101	5	value	value	NOUN
ap-7675	101	6	ec	ec	PROPN
ap-7675	101	7	=	=	SYM
ap-7675	101	8	(	(	PUNCT
ap-7675	101	9	vy	vy	ADP
ap-7675	101	10	−	−	PROPN
ap-7675	101	11	νvt)b	νvt)b	PROPN
ap-7675	101	12	for	for	ADP
ap-7675	101	13	three	three	NUM
ap-7675	101	14	boron	boron	NOUN
ap-7675	101	15	allotropes	allotrope	NOUN
ap-7675	101	16	according	accord	VERB
ap-7675	101	17	to	to	ADP
ap-7675	101	18	the	the	DET
ap-7675	101	19	valley	valley	NOUN
ap-7675	101	20	index	index	NOUN
ap-7675	101	21	ν	ν	PROPN
ap-7675	101	22	.	.	PUNCT
ap-7675	102	1	the	the	DET
ap-7675	102	2	data	datum	NOUN
ap-7675	102	3	for	for	ADP
ap-7675	102	4	8	8	NUM
ap-7675	102	5	−	−	NOUN
ap-7675	102	6	pmmn	pmmn	NOUN
ap-7675	102	7	borophene	borophene	NOUN
ap-7675	102	8	were	be	AUX
ap-7675	102	9	obtained	obtain	VERB
ap-7675	102	10	from	from	ADP
ap-7675	102	11	[	[	X
ap-7675	102	12	35	35	NUM
ap-7675	102	13	]	]	SYM
ap-7675	102	14	.	.	PUNCT
ap-7675	103	1	40	40	NUM
ap-7675	103	2	vol	vol	NOUN
ap-7675	103	3	.	.	PUNCT
ap-7675	104	1	62	62	NUM
ap-7675	104	2	no	no	INTJ
ap-7675	104	3	.	.	PUNCT
ap-7675	105	1	1/2022	1/2022	NUM
ap-7675	105	2	coherent	coherent	ADJ
ap-7675	105	3	electron	electron	NOUN
ap-7675	105	4	states	state	NOUN
ap-7675	105	5	in	in	ADP
ap-7675	105	6	monolayers	monolayer	NOUN
ap-7675	105	7	of	of	ADP
ap-7675	105	8	boron	boron	NOUN
ap-7675	105	9	allotropes	allotrope	NOUN
ap-7675	105	10	finally	finally	ADV
ap-7675	105	11	,	,	PUNCT
ap-7675	105	12	the	the	DET
ap-7675	105	13	average	average	ADJ
ap-7675	105	14	velocity	velocity	NOUN
ap-7675	105	15	in	in	ADP
ap-7675	105	16	the	the	DET
ap-7675	105	17	y	y	NOUN
ap-7675	105	18	-	-	PUNCT
ap-7675	105	19	direction	direction	NOUN
ap-7675	105	20	is	be	AUX
ap-7675	105	21	given	give	VERB
ap-7675	105	22	by	by	ADP
ap-7675	105	23	[	[	X
ap-7675	105	24	82	82	NUM
ap-7675	105	25	,	,	PUNCT
ap-7675	105	26	83	83	NUM
ap-7675	105	27	]	]	SYM
ap-7675	105	28	⟨vy⟩	⟨vy⟩	NOUN
ap-7675	105	29	=	=	SYM
ap-7675	105	30	∂en	∂en	NOUN
ap-7675	105	31	,	,	PUNCT
ap-7675	105	32	ky	ky	PROPN
ap-7675	105	33	∂ky	∂ky	PROPN
ap-7675	105	34	=	=	SYM
ap-7675	105	35	−vd	−vd	X
ap-7675	105	36	=	=	PUNCT
ap-7675	105	37	[	[	PUNCT
ap-7675	105	38	e	e	X
ap-7675	105	39	×	×	PROPN
ap-7675	105	40	b	b	PROPN
ap-7675	105	41	b2	b2	NOUN
ap-7675	105	42	]	]	PUNCT
ap-7675	105	43	y	y	PROPN
ap-7675	105	44	,	,	PUNCT
ap-7675	105	45	(	(	PUNCT
ap-7675	105	46	16	16	NUM
ap-7675	105	47	)	)	PUNCT
ap-7675	105	48	that	that	PRON
ap-7675	105	49	means	mean	VERB
ap-7675	105	50	the	the	DET
ap-7675	105	51	dirac	dirac	NOUN
ap-7675	105	52	fermions	fermion	NOUN
ap-7675	105	53	move	move	VERB
ap-7675	105	54	with	with	ADP
ap-7675	105	55	an	an	DET
ap-7675	105	56	average	average	ADJ
ap-7675	105	57	velocity	velocity	NOUN
ap-7675	105	58	vd	vd	NOUN
ap-7675	105	59	in	in	ADP
ap-7675	105	60	the	the	DET
ap-7675	105	61	negative	negative	ADJ
ap-7675	105	62	y	y	NOUN
ap-7675	105	63	-	-	NOUN
ap-7675	105	64	direction	direction	NOUN
ap-7675	105	65	.	.	PUNCT
ap-7675	106	1	2.1.2	2.1.2	X
ap-7675	106	2	.	.	PUNCT
ap-7675	106	3	eigenstates	eigenstate	VERB
ap-7675	106	4	the	the	DET
ap-7675	106	5	eigenstates	eigenstate	NOUN
ap-7675	106	6	of	of	ADP
ap-7675	106	7	the	the	DET
ap-7675	106	8	hamiltonian	hamiltonian	NOUN
ap-7675	106	9	in	in	ADP
ap-7675	106	10	eq	eq	PROPN
ap-7675	106	11	.	.	PUNCT
ap-7675	107	1	(	(	PUNCT
ap-7675	107	2	4	4	X
ap-7675	107	3	)	)	PUNCT
ap-7675	107	4	can	can	AUX
ap-7675	107	5	be	be	AUX
ap-7675	107	6	written	write	VERB
ap-7675	107	7	as	as	ADP
ap-7675	107	8	ψn(x	ψn(x	X
ap-7675	107	9	)	)	PUNCT
ap-7675	107	10	=	=	PUNCT
ap-7675	108	1	[	[	X
ap-7675	108	2	(	(	PUNCT
ap-7675	108	3	1	1	NUM
ap-7675	108	4	−	−	NUM
ap-7675	108	5	δ0n)χη1ψn−1(x	δ0n)χη1ψn−1(x	NUM
ap-7675	108	6	)	)	PUNCT
ap-7675	108	7	+	+	CCONJ
ap-7675	109	1	λχη2ψn(x)]√	λχη2ψn(x)]√	NOUN
ap-7675	109	2	2(1−δ0n	2(1−δ0n	NUM
ap-7675	109	3	)	)	PUNCT
ap-7675	109	4	=	=	SYM
ap-7675	109	5	mφn(x	mφn(x	PROPN
ap-7675	109	6	)	)	PUNCT
ap-7675	109	7	,	,	PUNCT
ap-7675	109	8	(	(	PUNCT
ap-7675	109	9	17	17	NUM
ap-7675	109	10	)	)	PUNCT
ap-7675	109	11	where	where	SCONJ
ap-7675	109	12	δmn	δmn	PROPN
ap-7675	109	13	denotes	denote	VERB
ap-7675	109	14	the	the	DET
ap-7675	109	15	kronecker	kronecker	NOUN
ap-7675	109	16	delta	delta	PROPN
ap-7675	109	17	,	,	PUNCT
ap-7675	109	18	the	the	DET
ap-7675	109	19	band	band	NOUN
ap-7675	109	20	index	index	NOUN
ap-7675	109	21	λ	λ	PROPN
ap-7675	109	22	indicates	indicate	VERB
ap-7675	109	23	the	the	DET
ap-7675	109	24	conduction	conduction	NOUN
ap-7675	109	25	(	(	PUNCT
ap-7675	109	26	λ	λ	X
ap-7675	109	27	=	=	NOUN
ap-7675	109	28	1	1	NUM
ap-7675	109	29	)	)	PUNCT
ap-7675	109	30	or	or	CCONJ
ap-7675	109	31	(	(	PUNCT
ap-7675	109	32	λ	λ	NOUN
ap-7675	109	33	=	=	SYM
ap-7675	109	34	−1	−1	NOUN
ap-7675	109	35	)	)	PUNCT
ap-7675	109	36	valence	valence	NOUN
ap-7675	109	37	band	band	NOUN
ap-7675	109	38	,	,	PUNCT
ap-7675	109	39	and	and	CCONJ
ap-7675	109	40	m	m	PROPN
ap-7675	109	41	=	=	ADJ
ap-7675	109	42	√	√	NUM
ap-7675	109	43	1	1	NUM
ap-7675	109	44	2	2	NUM
ap-7675	109	45	(	(	PUNCT
ap-7675	109	46	√	√	NUM
ap-7675	109	47	c+	c+	VERB
ap-7675	109	48	i	i	PRON
ap-7675	109	49	√	√	VERB
ap-7675	109	50	c−	c−	NOUN
ap-7675	109	51	−i	−i	ADJ
ap-7675	109	52	√	√	ADP
ap-7675	109	53	c−	c−	NOUN
ap-7675	109	54	√	√	NUM
ap-7675	109	55	c+	c+	NOUN
ap-7675	109	56	)	)	PUNCT
ap-7675	109	57	,	,	PUNCT
ap-7675	109	58	(	(	PUNCT
ap-7675	109	59	18a	18a	NOUN
ap-7675	109	60	)	)	PUNCT
ap-7675	109	61	φn(x	φn(x	NUM
ap-7675	109	62	)	)	PUNCT
ap-7675	109	63	=	=	SYM
ap-7675	109	64	1√	1√	NUM
ap-7675	109	65	2(1−δ0n	2(1−δ0n	NUM
ap-7675	109	66	)	)	PUNCT
ap-7675	109	67	(	(	PUNCT
ap-7675	109	68	(	(	PUNCT
ap-7675	109	69	1	1	NUM
ap-7675	109	70	−	−	PROPN
ap-7675	109	71	δ0n)ψn−1(x	δ0n)ψn−1(x	NOUN
ap-7675	109	72	)	)	PUNCT
ap-7675	109	73	iλψn(x	iλψn(x	NOUN
ap-7675	109	74	)	)	PUNCT
ap-7675	109	75	)	)	PUNCT
ap-7675	109	76	.	.	PUNCT
ap-7675	110	1	(	(	PUNCT
ap-7675	110	2	18b	18b	NUM
ap-7675	110	3	)	)	PUNCT
ap-7675	110	4	the	the	DET
ap-7675	110	5	components	component	NOUN
ap-7675	110	6	of	of	ADP
ap-7675	110	7	the	the	DET
ap-7675	110	8	pseudo	pseudo	NOUN
ap-7675	110	9	-	-	NOUN
ap-7675	110	10	spinor	spinor	NOUN
ap-7675	110	11	φn(x	φn(x	PUNCT
ap-7675	110	12	)	)	PUNCT
ap-7675	110	13	are	be	AUX
ap-7675	110	14	given	give	VERB
ap-7675	110	15	by	by	ADP
ap-7675	110	16	the	the	DET
ap-7675	110	17	wave	wave	NOUN
ap-7675	110	18	functions	function	NOUN
ap-7675	110	19	[	[	X
ap-7675	110	20	79	79	NUM
ap-7675	110	21	]	]	PUNCT
ap-7675	110	22	ψn(ζn	ψn(ζn	NOUN
ap-7675	110	23	)	)	PUNCT
ap-7675	110	24	=	=	PUNCT
ap-7675	110	25	(	(	PUNCT
ap-7675	110	26	1	1	NUM
ap-7675	110	27	−	−	NOUN
ap-7675	110	28	β2	β2	NOUN
ap-7675	110	29	ν)1/8	ν)1/8	NOUN
ap-7675	110	30	√	√	NUM
ap-7675	110	31	n	n	CCONJ
ap-7675	110	32	!	!	PUNCT
ap-7675	111	1	(	(	PUNCT
ap-7675	111	2	ωbvy	ωbvy	NOUN
ap-7675	111	3	2πvx	2πvx	NOUN
ap-7675	111	4	)	)	PUNCT
ap-7675	111	5	1/4	1/4	NUM
ap-7675	111	6	dn	dn	PROPN
ap-7675	111	7	(	(	PUNCT
ap-7675	111	8	√	√	PROPN
ap-7675	111	9	2	2	NUM
ap-7675	111	10	ζn	ζn	NOUN
ap-7675	111	11	)	)	PUNCT
ap-7675	111	12	,	,	PUNCT
ap-7675	111	13	(	(	PUNCT
ap-7675	111	14	19	19	NUM
ap-7675	111	15	)	)	PUNCT
ap-7675	111	16	where	where	SCONJ
ap-7675	111	17	dn	dn	X
ap-7675	111	18	(	(	PUNCT
ap-7675	111	19	·	·	PUNCT
ap-7675	111	20	)	)	PUNCT
ap-7675	111	21	are	be	AUX
ap-7675	111	22	the	the	DET
ap-7675	111	23	parabolic	parabolic	ADJ
ap-7675	111	24	cylinder	cylinder	NOUN
ap-7675	111	25	functions	function	NOUN
ap-7675	111	26	with	with	ADP
ap-7675	111	27	n	n	CCONJ
ap-7675	111	28	a	a	DET
ap-7675	111	29	non	non	ADJ
ap-7675	111	30	-	-	ADJ
ap-7675	111	31	negative	negative	ADJ
ap-7675	111	32	integer	integer	NOUN
ap-7675	111	33	,	,	PUNCT
ap-7675	111	34	and	and	CCONJ
ap-7675	111	35	the	the	DET
ap-7675	111	36	quantity	quantity	NOUN
ap-7675	111	37	ζn	ζn	PRON
ap-7675	111	38	is	be	AUX
ap-7675	111	39	given	give	VERB
ap-7675	111	40	by	by	ADP
ap-7675	111	41	eq	eq	PROPN
ap-7675	111	42	.	.	PUNCT
ap-7675	112	1	(	(	PUNCT
ap-7675	112	2	11	11	NUM
ap-7675	112	3	)	)	PUNCT
ap-7675	112	4	with	with	ADP
ap-7675	112	5	ϵ0	ϵ0	ADJ
ap-7675	112	6	=	=	SYM
ap-7675	112	7	(	(	PUNCT
ap-7675	112	8	en	en	X
ap-7675	112	9	,	,	PUNCT
ap-7675	112	10	ky	ky	PROPN
ap-7675	112	11	+	+	CCONJ
ap-7675	112	12	kyvd)/√vxvy	kyvd)/√vxvy	PROPN
ap-7675	112	13	.	.	PUNCT
ap-7675	113	1	3	3	X
ap-7675	113	2	.	.	X
ap-7675	113	3	coherent	coherent	ADJ
ap-7675	113	4	electron	electron	NOUN
ap-7675	113	5	states	state	NOUN
ap-7675	113	6	we	we	PRON
ap-7675	113	7	start	start	VERB
ap-7675	113	8	to	to	PART
ap-7675	113	9	obtain	obtain	VERB
ap-7675	113	10	the	the	DET
ap-7675	113	11	css	css	NOUN
ap-7675	113	12	by	by	ADP
ap-7675	113	13	first	first	ADV
ap-7675	113	14	considering	consider	VERB
ap-7675	113	15	the	the	DET
ap-7675	113	16	set	set	NOUN
ap-7675	113	17	of	of	ADP
ap-7675	113	18	ladder	ladder	NOUN
ap-7675	113	19	operators	operator	NOUN
ap-7675	113	20	a±	a±	PROPN
ap-7675	113	21	given	give	VERB
ap-7675	113	22	in	in	ADP
ap-7675	113	23	[	[	NOUN
ap-7675	113	24	35	35	NUM
ap-7675	113	25	]	]	PUNCT
ap-7675	113	26	and	and	CCONJ
ap-7675	113	27	acting	act	VERB
ap-7675	113	28	on	on	ADP
ap-7675	113	29	the	the	DET
ap-7675	113	30	hilbert	hilbert	PROPN
ap-7675	113	31	basis	basis	NOUN
ap-7675	113	32	φn(x	φn(x	PUNCT
ap-7675	113	33	)	)	PUNCT
ap-7675	113	34	=	=	SYM
ap-7675	113	35	m−1ψn(x	m−1ψn(x	NOUN
ap-7675	113	36	)	)	PUNCT
ap-7675	113	37	,	,	PUNCT
ap-7675	113	38	namely	namely	ADV
ap-7675	113	39	,	,	PUNCT
ap-7675	113	40	a+φn(ζn	a+φn(ζn	NUM
ap-7675	113	41	)	)	PUNCT
ap-7675	113	42	=	=	SYM
ap-7675	113	43	√	√	NUM
ap-7675	113	44	2(1−δ0n	2(1−δ0n	NUM
ap-7675	113	45	)	)	PUNCT
ap-7675	113	46	√	√	NUM
ap-7675	113	47	n+	n+	NUM
ap-7675	113	48	1	1	NUM
ap-7675	113	49	φn+1(ζn+1	φn+1(ζn+1	ADJ
ap-7675	113	50	)	)	PUNCT
ap-7675	113	51	,	,	PUNCT
ap-7675	113	52	(	(	PUNCT
ap-7675	113	53	20a	20a	NOUN
ap-7675	113	54	)	)	PUNCT
ap-7675	113	55	a−φn(ζn	a−φn(ζn	NOUN
ap-7675	113	56	)	)	PUNCT
ap-7675	113	57	=	=	SYM
ap-7675	113	58	√	√	NUM
ap-7675	113	59	2(1−δ1n)√nφn−1(ζn−1	2(1−δ1n)√nφn−1(ζn−1	NUM
ap-7675	113	60	)	)	PUNCT
ap-7675	113	61	,	,	PUNCT
ap-7675	113	62	(	(	PUNCT
ap-7675	113	63	20b	20b	NOUN
ap-7675	113	64	)	)	PUNCT
ap-7675	113	65	and	and	CCONJ
ap-7675	113	66	whose	whose	DET
ap-7675	113	67	commutation	commutation	NOUN
ap-7675	113	68	relation	relation	NOUN
ap-7675	113	69	reads	read	VERB
ap-7675	113	70	[	[	X
ap-7675	113	71	a−,a+]φn(x	a−,a+]φn(x	X
ap-7675	113	72	)	)	PUNCT
ap-7675	113	73	=	=	SYM
ap-7675	113	74	c(n)φn(x	c(n)φn(x	NOUN
ap-7675	113	75	)	)	PUNCT
ap-7675	113	76	,	,	PUNCT
ap-7675	113	77	c(n	c(n	NOUN
ap-7675	113	78	)	)	PUNCT
ap-7675	114	1	=	=	PUNCT
ap-7675	115	1			NOUN
ap-7675	115	2	1	1	NUM
ap-7675	115	3	,	,	PUNCT
ap-7675	115	4	n	n	NOUN
ap-7675	115	5	=	=	SYM
ap-7675	115	6	0	0	NUM
ap-7675	115	7	,	,	PUNCT
ap-7675	115	8	3	3	NUM
ap-7675	115	9	,	,	PUNCT
ap-7675	115	10	n	n	NOUN
ap-7675	115	11	=	=	SYM
ap-7675	115	12	1	1	NUM
ap-7675	115	13	,	,	PUNCT
ap-7675	115	14	2	2	NUM
ap-7675	115	15	,	,	PUNCT
ap-7675	115	16	n	n	NOUN
ap-7675	115	17	>	>	X
ap-7675	115	18	1	1	NUM
ap-7675	115	19	.	.	PUNCT
ap-7675	115	20	(	(	PUNCT
ap-7675	115	21	21	21	NUM
ap-7675	115	22	)	)	PUNCT
ap-7675	115	23	now	now	ADV
ap-7675	115	24	,	,	PUNCT
ap-7675	115	25	we	we	PRON
ap-7675	115	26	define	define	VERB
ap-7675	115	27	the	the	DET
ap-7675	115	28	css	css	NOUN
ap-7675	115	29	as	as	ADP
ap-7675	115	30	eigenstates	eigenstate	NOUN
ap-7675	115	31	of	of	ADP
ap-7675	115	32	the	the	DET
ap-7675	115	33	annihilation	annihilation	NOUN
ap-7675	115	34	operator	operator	NOUN
ap-7675	115	35	a−	a−	NOUN
ap-7675	115	36	:	:	PUNCT
ap-7675	115	37	a−φz(x	a−φz(x	ADJ
ap-7675	115	38	)	)	PUNCT
ap-7675	115	39	=	=	PUNCT
ap-7675	115	40	zφz(x	zφz(x	PROPN
ap-7675	115	41	)	)	PUNCT
ap-7675	115	42	,	,	PUNCT
ap-7675	115	43	z	z	NOUN
ap-7675	115	44	∈	∈	PROPN
ap-7675	115	45	c	c	X
ap-7675	115	46	,	,	PUNCT
ap-7675	115	47	(	(	PUNCT
ap-7675	115	48	22	22	NUM
ap-7675	115	49	)	)	PUNCT
ap-7675	115	50	with	with	ADP
ap-7675	115	51	complex	complex	ADJ
ap-7675	115	52	eigenvalue	eigenvalue	NOUN
ap-7675	115	53	,	,	PUNCT
ap-7675	115	54	where	where	SCONJ
ap-7675	115	55	φz(x	φz(x	NOUN
ap-7675	115	56	)	)	PUNCT
ap-7675	115	57	=	=	PUNCT
ap-7675	116	1	∞∑	∞∑	PROPN
ap-7675	116	2	n=0	n=0	NUM
ap-7675	116	3	anφn(x	anφn(x	PROPN
ap-7675	116	4	)	)	PUNCT
ap-7675	116	5	.	.	PUNCT
ap-7675	117	1	(	(	PUNCT
ap-7675	117	2	23	23	NUM
ap-7675	117	3	)	)	PUNCT
ap-7675	117	4	using	use	VERB
ap-7675	117	5	eq	eq	X
ap-7675	117	6	.	.	PUNCT
ap-7675	118	1	(	(	PUNCT
ap-7675	118	2	20a	20a	NOUN
ap-7675	118	3	)	)	PUNCT
ap-7675	118	4	,	,	PUNCT
ap-7675	118	5	the	the	DET
ap-7675	118	6	explicit	explicit	ADJ
ap-7675	118	7	expression	expression	NOUN
ap-7675	118	8	for	for	ADP
ap-7675	118	9	the	the	DET
ap-7675	118	10	css	css	PROPN
ap-7675	118	11	is	be	AUX
ap-7675	118	12	given	give	VERB
ap-7675	118	13	by	by	ADP
ap-7675	118	14	φz(x	φz(x	NOUN
ap-7675	118	15	)	)	PUNCT
ap-7675	118	16	=	=	SYM
ap-7675	118	17	nα	nα	X
ap-7675	118	18	[	[	PUNCT
ap-7675	118	19	φ0(x	φ0(x	NOUN
ap-7675	118	20	)	)	PUNCT
ap-7675	118	21	+	+	CCONJ
ap-7675	118	22	∞∑	∞∑	NUM
ap-7675	118	23	n=1	n=1	ADP
ap-7675	118	24	√	√	PROPN
ap-7675	118	25	2αn	2αn	ADJ
ap-7675	118	26	√	√	PROPN
ap-7675	118	27	n	n	CCONJ
ap-7675	118	28	!	!	NOUN
ap-7675	118	29	φn(x	φn(x	PUNCT
ap-7675	118	30	)	)	PUNCT
ap-7675	118	31	]	]	PUNCT
ap-7675	118	32	,	,	PUNCT
ap-7675	118	33	(	(	PUNCT
ap-7675	118	34	24	24	NUM
ap-7675	118	35	)	)	PUNCT
ap-7675	118	36	where	where	SCONJ
ap-7675	118	37	n	n	DET
ap-7675	118	38	−2	−2	NOUN
ap-7675	118	39	α	α	NOUN
ap-7675	118	40	=	=	SYM
ap-7675	118	41	2	2	NUM
ap-7675	118	42	exp	exp	NOUN
ap-7675	118	43	(	(	PUNCT
ap-7675	118	44	|α|2	|α|2	NOUN
ap-7675	118	45	)	)	PUNCT
ap-7675	119	1	−	−	PROPN
ap-7675	119	2	1	1	NUM
ap-7675	119	3	and	and	CCONJ
ap-7675	119	4	α	α	NOUN
ap-7675	119	5	=	=	PUNCT
ap-7675	119	6	z/	z/	NUM
ap-7675	119	7	√	√	NOUN
ap-7675	119	8	2	2	NUM
ap-7675	119	9	=	=	SYM
ap-7675	119	10	|α|	|α|	NUM
ap-7675	119	11	exp	exp	NOUN
ap-7675	119	12	(	(	PUNCT
ap-7675	119	13	iφ	iφ	NOUN
ap-7675	119	14	)	)	PUNCT
ap-7675	119	15	.	.	PUNCT
ap-7675	120	1	here	here	ADV
ap-7675	120	2	,	,	PUNCT
ap-7675	120	3	the	the	DET
ap-7675	120	4	physical	physical	ADJ
ap-7675	120	5	meaning	meaning	NOUN
ap-7675	120	6	of	of	ADP
ap-7675	120	7	|α|	|α|	PROPN
ap-7675	120	8	is	be	AUX
ap-7675	120	9	that	that	SCONJ
ap-7675	120	10	it	it	PRON
ap-7675	120	11	is	be	AUX
ap-7675	120	12	the	the	DET
ap-7675	120	13	oscillation	oscillation	NOUN
ap-7675	120	14	amplitude	amplitude	NOUN
ap-7675	120	15	while	while	SCONJ
ap-7675	120	16	the	the	DET
ap-7675	120	17	phase	phase	NOUN
ap-7675	120	18	angle	angle	NOUN
ap-7675	120	19	φ	φ	PROPN
ap-7675	120	20	is	be	AUX
ap-7675	120	21	identical	identical	ADJ
ap-7675	120	22	to	to	ADP
ap-7675	120	23	the	the	DET
ap-7675	120	24	angular	angular	ADJ
ap-7675	120	25	rotation	rotation	NOUN
ap-7675	120	26	in	in	ADP
ap-7675	120	27	the	the	DET
ap-7675	120	28	classical	classical	ADJ
ap-7675	120	29	motion	motion	NOUN
ap-7675	120	30	.	.	PUNCT
ap-7675	121	1	it	it	PRON
ap-7675	121	2	is	be	AUX
ap-7675	121	3	worth	worth	ADJ
ap-7675	121	4	to	to	PART
ap-7675	121	5	mention	mention	VERB
ap-7675	121	6	that	that	SCONJ
ap-7675	121	7	the	the	DET
ap-7675	121	8	procedure	procedure	NOUN
ap-7675	121	9	described	describe	VERB
ap-7675	121	10	allows	allow	VERB
ap-7675	121	11	to	to	PART
ap-7675	121	12	obtain	obtain	VERB
ap-7675	121	13	the	the	DET
ap-7675	121	14	so	so	ADV
ap-7675	121	15	-	-	PUNCT
ap-7675	121	16	called	call	VERB
ap-7675	121	17	barut	barut	NOUN
ap-7675	121	18	-	-	PUNCT
ap-7675	121	19	girrardello	girrardello	NOUN
ap-7675	121	20	css	css	PROPN
ap-7675	121	21	.	.	PUNCT
ap-7675	122	1	however	however	ADV
ap-7675	122	2	,	,	PUNCT
ap-7675	122	3	this	this	PRON
ap-7675	122	4	is	be	AUX
ap-7675	122	5	not	not	PART
ap-7675	122	6	the	the	DET
ap-7675	122	7	only	only	ADJ
ap-7675	122	8	way	way	NOUN
ap-7675	122	9	to	to	PART
ap-7675	122	10	build	build	VERB
ap-7675	122	11	css	css	PROPN
ap-7675	122	12	.	.	PUNCT
ap-7675	123	1	in	in	ADP
ap-7675	123	2	[	[	X
ap-7675	123	3	27	27	NUM
ap-7675	123	4	]	]	PUNCT
ap-7675	123	5	,	,	PUNCT
ap-7675	123	6	the	the	DET
ap-7675	123	7	displacement	displacement	NOUN
ap-7675	123	8	-	-	PUNCT
ap-7675	123	9	operator	operator	NOUN
ap-7675	123	10	method	method	NOUN
ap-7675	123	11	has	have	AUX
ap-7675	123	12	been	be	AUX
ap-7675	123	13	implemented	implement	VERB
ap-7675	123	14	in	in	ADP
ap-7675	123	15	order	order	NOUN
ap-7675	123	16	to	to	PART
ap-7675	123	17	construct	construct	VERB
ap-7675	123	18	such	such	ADJ
ap-7675	123	19	states	state	NOUN
ap-7675	123	20	in	in	ADP
ap-7675	123	21	other	other	ADJ
ap-7675	123	22	honeycomb	honeycomb	NOUN
ap-7675	123	23	lattices	lattice	NOUN
ap-7675	123	24	.	.	PUNCT
ap-7675	124	1	finally	finally	ADV
ap-7675	124	2	,	,	PUNCT
ap-7675	124	3	defining	define	VERB
ap-7675	124	4	the	the	DET
ap-7675	124	5	matrix	matrix	NOUN
ap-7675	124	6	operators	operator	NOUN
ap-7675	124	7	b−	b−	PROPN
ap-7675	124	8	≡	≡	PROPN
ap-7675	124	9	ma−m−1	ma−m−1	PROPN
ap-7675	124	10	,	,	PUNCT
ap-7675	124	11	b+	b+	VERB
ap-7675	124	12	≡	≡	PROPN
ap-7675	124	13	ma+m−1	ma+m−1	PROPN
ap-7675	124	14	,	,	PUNCT
ap-7675	124	15	(	(	PUNCT
ap-7675	124	16	25	25	NUM
ap-7675	124	17	)	)	PUNCT
ap-7675	124	18	whose	whose	DET
ap-7675	124	19	actions	action	NOUN
ap-7675	124	20	on	on	ADP
ap-7675	124	21	the	the	DET
ap-7675	124	22	landau	landau	NOUN
ap-7675	124	23	states	state	NOUN
ap-7675	124	24	ψn(x	ψn(x	ADP
ap-7675	124	25	)	)	PUNCT
ap-7675	124	26	in	in	ADP
ap-7675	124	27	eq	eq	ADP
ap-7675	124	28	.	.	PUNCT
ap-7675	125	1	(	(	PUNCT
ap-7675	125	2	17	17	NUM
ap-7675	125	3	)	)	PUNCT
ap-7675	125	4	reads	read	NOUN
ap-7675	125	5	as	as	ADP
ap-7675	125	6	b+ψn(ζn	b+ψn(ζn	NOUN
ap-7675	125	7	)	)	PUNCT
ap-7675	125	8	=	=	SYM
ap-7675	125	9	√	√	NUM
ap-7675	125	10	2(1−δ0n	2(1−δ0n	NUM
ap-7675	125	11	)	)	PUNCT
ap-7675	126	1	√	√	NUM
ap-7675	126	2	n+	n+	PUNCT
ap-7675	126	3	1	1	NUM
ap-7675	126	4	ψn+1(ζn+1	ψn+1(ζn+1	PROPN
ap-7675	126	5	)	)	PUNCT
ap-7675	126	6	,	,	PUNCT
ap-7675	126	7	(	(	PUNCT
ap-7675	126	8	26a	26a	NOUN
ap-7675	126	9	)	)	PUNCT
ap-7675	126	10	b−ψn(ζn	b−ψn(ζn	NOUN
ap-7675	126	11	)	)	PUNCT
ap-7675	127	1	=	=	PUNCT
ap-7675	127	2	√	√	NUM
ap-7675	127	3	2(1−δ1n)√nψn−1(ζn−1	2(1−δ1n)√nψn−1(ζn−1	NUM
ap-7675	127	4	)	)	PUNCT
ap-7675	127	5	,	,	PUNCT
ap-7675	127	6	(	(	PUNCT
ap-7675	127	7	26b	26b	NOUN
ap-7675	127	8	)	)	PUNCT
ap-7675	127	9	it	it	PRON
ap-7675	127	10	is	be	AUX
ap-7675	127	11	possible	possible	ADJ
ap-7675	127	12	to	to	PART
ap-7675	127	13	verify	verify	VERB
ap-7675	127	14	that	that	SCONJ
ap-7675	127	15	the	the	DET
ap-7675	127	16	states	state	NOUN
ap-7675	127	17	ψα(x	ψα(x	PUNCT
ap-7675	127	18	)	)	PUNCT
ap-7675	127	19	=	=	SYM
ap-7675	128	1	mφz(x	mφz(x	NOUN
ap-7675	128	2	)	)	PUNCT
ap-7675	128	3	are	be	AUX
ap-7675	128	4	eigenfunctions	eigenfunction	NOUN
ap-7675	128	5	of	of	ADP
ap-7675	128	6	the	the	DET
ap-7675	128	7	annihilation	annihilation	NOUN
ap-7675	128	8	operator	operator	NOUN
ap-7675	128	9	b−	b−	PROPN
ap-7675	128	10	with	with	ADP
ap-7675	128	11	the	the	DET
ap-7675	128	12	same	same	ADJ
ap-7675	128	13	eigenvalue	eigenvalue	PROPN
ap-7675	128	14	z.	z.	PROPN
ap-7675	128	15	therefore	therefore	ADV
ap-7675	128	16	,	,	PUNCT
ap-7675	128	17	the	the	DET
ap-7675	128	18	states	state	NOUN
ap-7675	128	19	ψ̄α(r	ψ̄α(r	NOUN
ap-7675	128	20	)	)	PUNCT
ap-7675	128	21	=	=	SYM
ap-7675	128	22	exp	exp	NOUN
ap-7675	128	23	(	(	PUNCT
ap-7675	128	24	ikyy	ikyy	NOUN
ap-7675	128	25	)	)	PUNCT
ap-7675	128	26	ψα(x	ψα(x	PUNCT
ap-7675	128	27	)	)	PUNCT
ap-7675	128	28	are	be	AUX
ap-7675	128	29	the	the	DET
ap-7675	128	30	coherent	coherent	ADJ
ap-7675	128	31	electron	electron	NOUN
ap-7675	128	32	states	state	NOUN
ap-7675	128	33	of	of	ADP
ap-7675	128	34	the	the	DET
ap-7675	128	35	system	system	NOUN
ap-7675	128	36	.	.	PUNCT
ap-7675	129	1	in	in	ADP
ap-7675	129	2	addition	addition	NOUN
ap-7675	129	3	,	,	PUNCT
ap-7675	129	4	the	the	DET
ap-7675	129	5	commutation	commutation	NOUN
ap-7675	129	6	relation	relation	NOUN
ap-7675	129	7	in	in	ADP
ap-7675	129	8	eq	eq	ADP
ap-7675	129	9	.	.	PUNCT
ap-7675	130	1	(	(	PUNCT
ap-7675	130	2	21	21	NUM
ap-7675	130	3	)	)	PUNCT
ap-7675	130	4	is	be	AUX
ap-7675	130	5	also	also	ADV
ap-7675	130	6	fulfilled	fulfil	VERB
ap-7675	130	7	writing	write	VERB
ap-7675	130	8	b±	b±	PROPN
ap-7675	130	9	and	and	CCONJ
ap-7675	130	10	ψn	ψn	X
ap-7675	130	11	instead	instead	ADV
ap-7675	130	12	of	of	ADP
ap-7675	130	13	a±	a±	PROPN
ap-7675	130	14	and	and	CCONJ
ap-7675	130	15	φn	φn	NOUN
ap-7675	130	16	,	,	PUNCT
ap-7675	130	17	respectively	respectively	ADV
ap-7675	130	18	.	.	PUNCT
ap-7675	131	1	3.1	3.1	NUM
ap-7675	131	2	.	.	PUNCT
ap-7675	131	3	overcompleteness	overcompleteness	NOUN
ap-7675	131	4	and	and	CCONJ
ap-7675	131	5	resolution	resolution	NOUN
ap-7675	131	6	to	to	ADP
ap-7675	131	7	the	the	DET
ap-7675	131	8	identity	identity	NOUN
ap-7675	131	9	the	the	DET
ap-7675	131	10	css	css	NOUN
ap-7675	131	11	satisfy	satisfy	VERB
ap-7675	131	12	the	the	DET
ap-7675	131	13	following	follow	VERB
ap-7675	131	14	relation	relation	NOUN
ap-7675	131	15	|⟨ψ̄α′	|⟨ψ̄α′	NUM
ap-7675	131	16	|ψ̄α⟩|	|ψ̄α⟩|	X
ap-7675	131	17	=	=	SYM
ap-7675	131	18	∣∣∣∣∣	∣∣∣∣∣	ADJ
ap-7675	131	19	2	2	NUM
ap-7675	131	20	exp(α′∗α	exp(α′∗α	NOUN
ap-7675	131	21	)	)	PUNCT
ap-7675	131	22	−	−	PROPN
ap-7675	131	23	1√	1√	PROPN
ap-7675	131	24	(	(	PUNCT
ap-7675	131	25	2	2	NUM
ap-7675	131	26	exp(|α|2	exp(|α|2	NUM
ap-7675	131	27	)	)	PUNCT
ap-7675	131	28	−	−	PROPN
ap-7675	131	29	1)(2	1)(2	NUM
ap-7675	131	30	exp(|α′|2	exp(|α′|2	NOUN
ap-7675	131	31	)	)	PUNCT
ap-7675	132	1	−	−	ADP
ap-7675	132	2	1	1	NUM
ap-7675	132	3	)	)	PUNCT
ap-7675	132	4	∣∣∣∣∣	∣∣∣∣∣	ADP
ap-7675	132	5	̸=	̸=	PROPN
ap-7675	132	6	δ(α′	δ(α′	PROPN
ap-7675	132	7	−	−	PROPN
ap-7675	132	8	α	α	NOUN
ap-7675	132	9	)	)	PUNCT
ap-7675	132	10	.	.	PUNCT
ap-7675	133	1	(	(	PUNCT
ap-7675	133	2	27	27	NUM
ap-7675	133	3	)	)	PUNCT
ap-7675	133	4	since	since	SCONJ
ap-7675	133	5	the	the	DET
ap-7675	133	6	coherent	coherent	ADJ
ap-7675	133	7	electron	electron	NOUN
ap-7675	133	8	states	state	NOUN
ap-7675	133	9	are	be	AUX
ap-7675	133	10	not	not	PART
ap-7675	133	11	orthogonal	orthogonal	ADJ
ap-7675	133	12	for	for	ADP
ap-7675	133	13	α	α	PROPN
ap-7675	133	14	̸=	̸=	PROPN
ap-7675	133	15	α′	α′	NUM
ap-7675	133	16	,	,	PUNCT
ap-7675	133	17	we	we	PRON
ap-7675	133	18	say	say	VERB
ap-7675	133	19	the	the	DET
ap-7675	133	20	set	set	NOUN
ap-7675	133	21	of	of	ADP
ap-7675	133	22	such	such	ADJ
ap-7675	133	23	states	state	NOUN
ap-7675	133	24	is	be	AUX
ap-7675	133	25	overcomplete	overcomplete	ADJ
ap-7675	133	26	.	.	PUNCT
ap-7675	134	1	besides	besides	ADV
ap-7675	134	2	,	,	PUNCT
ap-7675	134	3	these	these	DET
ap-7675	134	4	css	css	NOUN
ap-7675	134	5	satisfy	satisfy	VERB
ap-7675	134	6	the	the	DET
ap-7675	134	7	following	follow	VERB
ap-7675	134	8	relation	relation	NOUN
ap-7675	134	9	that	that	PRON
ap-7675	134	10	can	can	AUX
ap-7675	134	11	be	be	AUX
ap-7675	134	12	considered	consider	VERB
ap-7675	134	13	as	as	ADP
ap-7675	134	14	an	an	DET
ap-7675	134	15	unusual	unusual	ADJ
ap-7675	134	16	resolution	resolution	NOUN
ap-7675	134	17	to	to	ADP
ap-7675	134	18	the	the	DET
ap-7675	134	19	identity	identity	NOUN
ap-7675	134	20	:	:	PUNCT
ap-7675	134	21	|ψ̄0⟩⟨ψ̄0|	|ψ̄0⟩⟨ψ̄0|	X
ap-7675	134	22	2	2	NUM
ap-7675	134	23	+	+	NUM
ap-7675	134	24	∫	∫	PROPN
ap-7675	134	25	c	c	PROPN
ap-7675	134	26	dρ(α	dρ(α	PROPN
ap-7675	134	27	)	)	PUNCT
ap-7675	135	1	π	π	PROPN
ap-7675	135	2	|ψ̄α⟩⟨ψ̄α|	|ψ̄α⟩⟨ψ̄α|	X
ap-7675	135	3	=	=	SYM
ap-7675	135	4	i+	i+	PROPN
ap-7675	135	5	,	,	PUNCT
ap-7675	135	6	(	(	PUNCT
ap-7675	135	7	28	28	NUM
ap-7675	135	8	)	)	PUNCT
ap-7675	135	9	where	where	SCONJ
ap-7675	135	10	i+	i+	NUM
ap-7675	135	11	denotes	denote	VERB
ap-7675	135	12	the	the	DET
ap-7675	135	13	identity	identity	NOUN
ap-7675	135	14	operator	operator	NOUN
ap-7675	135	15	in	in	ADP
ap-7675	135	16	the	the	DET
ap-7675	135	17	hilbert	hilbert	NOUN
ap-7675	135	18	space	space	NOUN
ap-7675	135	19	for	for	ADP
ap-7675	135	20	landau	landau	NOUN
ap-7675	135	21	states	state	NOUN
ap-7675	135	22	in	in	ADP
ap-7675	135	23	the	the	DET
ap-7675	135	24	conduction	conduction	NOUN
ap-7675	135	25	band	band	NOUN
ap-7675	135	26	,	,	PUNCT
ap-7675	135	27	and	and	CCONJ
ap-7675	135	28	dρ(α	dρ(α	NOUN
ap-7675	135	29	)	)	PUNCT
ap-7675	135	30	is	be	AUX
ap-7675	135	31	a	a	DET
ap-7675	135	32	positive	positive	ADJ
ap-7675	135	33	measure	measure	NOUN
ap-7675	135	34	defined	define	VERB
ap-7675	135	35	as	as	ADP
ap-7675	135	36	dρ(α	dρ(α	NOUN
ap-7675	135	37	)	)	PUNCT
ap-7675	135	38	=	=	SYM
ap-7675	135	39	2	2	NUM
ap-7675	135	40	exp	exp	NOUN
ap-7675	135	41	(	(	PUNCT
ap-7675	135	42	|α|2	|α|2	NOUN
ap-7675	135	43	)	)	PUNCT
ap-7675	135	44	−	−	PROPN
ap-7675	135	45	1	1	NUM
ap-7675	135	46	2	2	NUM
ap-7675	135	47	exp	exp	NOUN
ap-7675	135	48	(	(	PUNCT
ap-7675	135	49	−|α|2	−|α|2	PROPN
ap-7675	135	50	)	)	PUNCT
ap-7675	135	51	|α|	|α|	PROPN
ap-7675	135	52	d|α|	d|α|	NOUN
ap-7675	135	53	dφ	dφ	ADP
ap-7675	135	54	.	.	PUNCT
ap-7675	136	1	(	(	PUNCT
ap-7675	136	2	29	29	NUM
ap-7675	136	3	)	)	SYM
ap-7675	136	4	41	41	NUM
ap-7675	136	5	erik	erik	PROPN
ap-7675	136	6	díaz	díaz	PROPN
ap-7675	136	7	-	-	PUNCT
ap-7675	136	8	bautista	bautista	PROPN
ap-7675	136	9	acta	acta	PROPN
ap-7675	136	10	polytechnica	polytechnica	PROPN
ap-7675	136	11	0	0	NUM
ap-7675	136	12	5	5	NUM
ap-7675	136	13	10	10	NUM
ap-7675	136	14	15	15	NUM
ap-7675	136	15	20	20	NUM
ap-7675	136	16	25	25	NUM
ap-7675	136	17	30	30	NUM
ap-7675	136	18	35	35	NUM
ap-7675	136	19	n	n	NUM
ap-7675	136	20	0.00	0.00	NUM
ap-7675	136	21	0.03	0.03	NUM
ap-7675	136	22	0.05	0.05	NUM
ap-7675	136	23	0.08	0.08	NUM
ap-7675	136	24	0.10	0.10	NUM
ap-7675	136	25	0.13	0.13	NUM
ap-7675	136	26	0.15	0.15	NUM
ap-7675	136	27	0.18	0.18	NUM
ap-7675	136	28	0.20	0.20	NUM
ap-7675	136	29	p	p	NOUN
ap-7675	136	30	(	(	PUNCT
ap-7675	136	31	n	n	NOUN
ap-7675	136	32	)	)	PUNCT
ap-7675	136	33	=	=	SYM
ap-7675	137	1	4	4	NUM
ap-7675	137	2	=	=	SYM
ap-7675	137	3	8	8	NUM
ap-7675	137	4	=	=	SYM
ap-7675	137	5	12	12	NUM
ap-7675	137	6	=	=	SYM
ap-7675	137	7	16	16	NUM
ap-7675	137	8	=	=	SYM
ap-7675	137	9	20	20	NUM
ap-7675	137	10	figure	figure	NOUN
ap-7675	137	11	2	2	NUM
ap-7675	137	12	.	.	PUNCT
ap-7675	137	13	occupation	occupation	NOUN
ap-7675	137	14	number	number	NOUN
ap-7675	137	15	distribution	distribution	NOUN
ap-7675	137	16	pα(n	pα(n	NOUN
ap-7675	137	17	)	)	PUNCT
ap-7675	137	18	in	in	ADP
ap-7675	137	19	eq	eq	ADP
ap-7675	137	20	.	.	PUNCT
ap-7675	137	21	(	(	PUNCT
ap-7675	137	22	30	30	NUM
ap-7675	137	23	)	)	PUNCT
ap-7675	137	24	for	for	ADP
ap-7675	137	25	the	the	DET
ap-7675	137	26	coherent	coherent	ADJ
ap-7675	137	27	electron	electron	NOUN
ap-7675	137	28	states	state	NOUN
ap-7675	137	29	ψ̄α	ψ̄α	VERB
ap-7675	137	30	for	for	ADP
ap-7675	137	31	different	different	ADJ
ap-7675	137	32	values	value	NOUN
ap-7675	137	33	of	of	ADP
ap-7675	137	34	µ	µ	X
ap-7675	137	35	=	=	SYM
ap-7675	137	36	|α|2	|α|2	PROPN
ap-7675	137	37	.	.	PUNCT
ap-7675	138	1	3.2	3.2	NUM
ap-7675	138	2	.	.	PUNCT
ap-7675	139	1	occupation	occupation	NOUN
ap-7675	139	2	number	number	NOUN
ap-7675	139	3	distribution	distribution	NOUN
ap-7675	139	4	the	the	DET
ap-7675	139	5	css	css	PROPN
ap-7675	139	6	follow	follow	VERB
ap-7675	139	7	a	a	DET
ap-7675	139	8	poisson	poisson	NOUN
ap-7675	139	9	-	-	PUNCT
ap-7675	139	10	like	like	ADJ
ap-7675	139	11	distribution	distribution	NOUN
ap-7675	139	12	with	with	ADP
ap-7675	139	13	mean	mean	NOUN
ap-7675	139	14	µ	µ	X
ap-7675	139	15	=	=	SYM
ap-7675	139	16	|α|2	|α|2	PROPN
ap-7675	139	17	,	,	PUNCT
ap-7675	139	18	according	accord	VERB
ap-7675	139	19	to	to	ADP
ap-7675	139	20	the	the	DET
ap-7675	139	21	occupation	occupation	NOUN
ap-7675	139	22	number	number	NOUN
ap-7675	139	23	distribution	distribution	NOUN
ap-7675	139	24	pα(n	pα(n	NOUN
ap-7675	139	25	)	)	PUNCT
ap-7675	139	26	=	=	PUNCT
ap-7675	140	1	|⟨ψ̄n|ψ̄α⟩|	|⟨ψ̄n|ψ̄α⟩|	NOUN
ap-7675	140	2	=	=	SYM
ap-7675	140	3	1	1	NUM
ap-7675	140	4	2	2	NUM
ap-7675	140	5	exp	exp	NOUN
ap-7675	140	6	(	(	PUNCT
ap-7675	140	7	µ	µ	NOUN
ap-7675	140	8	)	)	PUNCT
ap-7675	140	9	−	−	PROPN
ap-7675	140	10	1	1	NUM
ap-7675	140	11	{	{	PUNCT
ap-7675	140	12	1	1	NUM
ap-7675	140	13	,	,	PUNCT
ap-7675	140	14	n	n	NOUN
ap-7675	140	15	=	=	SYM
ap-7675	140	16	0	0	NUM
ap-7675	140	17	,	,	PUNCT
ap-7675	140	18	2µn	2µn	NOUN
ap-7675	140	19	n	n	CCONJ
ap-7675	140	20	!	!	NOUN
ap-7675	140	21	,	,	PUNCT
ap-7675	141	1	n	n	CCONJ
ap-7675	141	2	>	>	X
ap-7675	141	3	0	0	NUM
ap-7675	141	4	,	,	PUNCT
ap-7675	141	5	(	(	PUNCT
ap-7675	141	6	30	30	NUM
ap-7675	141	7	)	)	PUNCT
ap-7675	141	8	which	which	PRON
ap-7675	141	9	gives	give	VERB
ap-7675	141	10	the	the	DET
ap-7675	141	11	probability	probability	NOUN
ap-7675	141	12	of	of	ADP
ap-7675	141	13	a	a	DET
ap-7675	141	14	cs	cs	NOUN
ap-7675	141	15	of	of	ADP
ap-7675	141	16	being	be	AUX
ap-7675	141	17	in	in	ADP
ap-7675	141	18	an	an	DET
ap-7675	141	19	landau	landau	NOUN
ap-7675	141	20	state	state	PROPN
ap-7675	141	21	ψ̄n	ψ̄n	PROPN
ap-7675	141	22	(	(	PUNCT
ap-7675	141	23	see	see	VERB
ap-7675	141	24	figure	figure	NOUN
ap-7675	141	25	2	2	NUM
ap-7675	141	26	)	)	PUNCT
ap-7675	141	27	.	.	PUNCT
ap-7675	142	1	3.3	3.3	NUM
ap-7675	142	2	.	.	PUNCT
ap-7675	143	1	mean	mean	VERB
ap-7675	143	2	energy	energy	NOUN
ap-7675	143	3	value	value	NOUN
ap-7675	143	4	on	on	ADP
ap-7675	143	5	the	the	DET
ap-7675	143	6	another	another	DET
ap-7675	143	7	hand	hand	NOUN
ap-7675	143	8	,	,	PUNCT
ap-7675	143	9	the	the	DET
ap-7675	143	10	expectation	expectation	NOUN
ap-7675	143	11	value	value	NOUN
ap-7675	143	12	of	of	ADP
ap-7675	143	13	the	the	DET
ap-7675	143	14	energy	energy	NOUN
ap-7675	143	15	in	in	ADP
ap-7675	143	16	the	the	DET
ap-7675	143	17	cs	cs	PROPN
ap-7675	143	18	basis	basis	NOUN
ap-7675	143	19	is	be	AUX
ap-7675	143	20	given	give	VERB
ap-7675	143	21	by	by	ADP
ap-7675	143	22	⟨h⟩α	⟨h⟩α	PROPN
ap-7675	143	23	=	=	PUNCT
ap-7675	143	24	n	n	PRON
ap-7675	143	25	2	2	NUM
ap-7675	143	26	α	α	NOUN
ap-7675	143	27	[	[	PUNCT
ap-7675	143	28	kyvd	kyvd	NOUN
ap-7675	143	29	(	(	PUNCT
ap-7675	143	30	1	1	NUM
ap-7675	143	31	−	−	NUM
ap-7675	143	32	2	2	NUM
ap-7675	143	33	exp	exp	NOUN
ap-7675	143	34	(	(	PUNCT
ap-7675	143	35	|α|2	|α|2	NOUN
ap-7675	143	36	)	)	PUNCT
ap-7675	143	37	)	)	PUNCT
ap-7675	144	1	+	+	CCONJ
ap-7675	144	2	2√	2√	PROPN
ap-7675	144	3	vxvy	vxvy	NOUN
ap-7675	144	4	ωb	ωb	NUM
ap-7675	144	5	×	×	NOUN
ap-7675	144	6	(	(	PUNCT
ap-7675	144	7	1	1	NUM
ap-7675	144	8	−	−	NOUN
ap-7675	144	9	β2	β2	NOUN
ap-7675	144	10	ν)3/4	ν)3/4	PROPN
ap-7675	145	1	∞∑	∞∑	NUM
ap-7675	145	2	n=1	n=1	PROPN
ap-7675	145	3	sgn(n	sgn(n	PROPN
ap-7675	145	4	)	)	PUNCT
ap-7675	145	5	|α|2n	|α|2n	NOUN
ap-7675	145	6	n	n	CCONJ
ap-7675	145	7	!	!	PUNCT
ap-7675	145	8	√	√	INTJ
ap-7675	146	1	|n|	|n|	NUM
ap-7675	146	2	]	]	PUNCT
ap-7675	146	3	.	.	PUNCT
ap-7675	147	1	(	(	PUNCT
ap-7675	147	2	31	31	NUM
ap-7675	147	3	)	)	PUNCT
ap-7675	147	4	the	the	DET
ap-7675	147	5	mean	mean	ADJ
ap-7675	147	6	group	group	NOUN
ap-7675	147	7	velocity	velocity	NOUN
ap-7675	147	8	of	of	ADP
ap-7675	147	9	the	the	DET
ap-7675	147	10	css	css	PROPN
ap-7675	147	11	is	be	AUX
ap-7675	147	12	obtained	obtain	VERB
ap-7675	147	13	as	as	ADP
ap-7675	147	14	⟨vy⟩α	⟨vy⟩α	PROPN
ap-7675	147	15	=	=	SYM
ap-7675	147	16	∂⟨h⟩α	∂⟨h⟩α	PROPN
ap-7675	147	17	∂ky	∂ky	PROPN
ap-7675	147	18	=	=	SYM
ap-7675	147	19	−vd	−vd	PROPN
ap-7675	147	20	,	,	PUNCT
ap-7675	147	21	(	(	PUNCT
ap-7675	147	22	32	32	NUM
ap-7675	147	23	)	)	PUNCT
ap-7675	147	24	which	which	PRON
ap-7675	147	25	agrees	agree	VERB
ap-7675	147	26	with	with	ADP
ap-7675	147	27	eq	eq	NOUN
ap-7675	147	28	.	.	PUNCT
ap-7675	148	1	(	(	PUNCT
ap-7675	148	2	16	16	NUM
ap-7675	148	3	)	)	PUNCT
ap-7675	148	4	.	.	PUNCT
ap-7675	149	1	3.4	3.4	NUM
ap-7675	149	2	.	.	NOUN
ap-7675	149	3	time	time	NOUN
ap-7675	149	4	evolution	evolution	NOUN
ap-7675	149	5	of	of	ADP
ap-7675	149	6	the	the	DET
ap-7675	149	7	wave	wave	NOUN
ap-7675	149	8	packet	packet	NOUN
ap-7675	149	9	now	now	ADV
ap-7675	149	10	,	,	PUNCT
ap-7675	149	11	let	let	VERB
ap-7675	149	12	us	we	PRON
ap-7675	149	13	consider	consider	VERB
ap-7675	149	14	the	the	DET
ap-7675	149	15	time	time	NOUN
ap-7675	149	16	-	-	PUNCT
ap-7675	149	17	evolution	evolution	NOUN
ap-7675	149	18	operator	operator	NOUN
ap-7675	149	19	u(t	u(t	NOUN
ap-7675	149	20	)	)	PUNCT
ap-7675	149	21	=	=	SYM
ap-7675	150	1	exp(−iht	exp(−iht	X
ap-7675	150	2	)	)	PUNCT
ap-7675	150	3	applied	apply	VERB
ap-7675	150	4	on	on	ADP
ap-7675	150	5	the	the	DET
ap-7675	150	6	expansion	expansion	NOUN
ap-7675	150	7	of	of	ADP
ap-7675	150	8	css	css	PROPN
ap-7675	150	9	in	in	ADP
ap-7675	150	10	terms	term	NOUN
ap-7675	150	11	of	of	ADP
ap-7675	150	12	landau	landau	NOUN
ap-7675	150	13	states	states	VERB
ap-7675	150	14	ψ̄n(r	ψ̄n(r	PRON
ap-7675	150	15	)	)	PUNCT
ap-7675	150	16	.	.	PUNCT
ap-7675	151	1	hence	hence	ADV
ap-7675	151	2	,	,	PUNCT
ap-7675	151	3	the	the	DET
ap-7675	151	4	timedependent	timedependent	NOUN
ap-7675	151	5	coherent	coherent	ADJ
ap-7675	151	6	electron	electron	NOUN
ap-7675	151	7	states	state	NOUN
ap-7675	151	8	are	be	AUX
ap-7675	151	9	:	:	PUNCT
ap-7675	151	10	ψ̄α(r	ψ̄α(r	PROPN
ap-7675	151	11	,	,	PUNCT
ap-7675	151	12	t	t	PROPN
ap-7675	151	13	)	)	PUNCT
ap-7675	151	14	=	=	NOUN
ap-7675	151	15	nα	nα	PRON
ap-7675	151	16	exp	exp	NOUN
ap-7675	151	17	(	(	PUNCT
ap-7675	151	18	ikyy)m	ikyy)m	X
ap-7675	151	19	(	(	PUNCT
ap-7675	151	20	ψα,1(x	ψα,1(x	PROPN
ap-7675	151	21	,	,	PUNCT
ap-7675	151	22	t	t	PROPN
ap-7675	151	23	)	)	PUNCT
ap-7675	151	24	i	i	PRON
ap-7675	151	25	λψα,2(x	λψα,2(x	PROPN
ap-7675	151	26	,	,	PUNCT
ap-7675	151	27	t	t	PROPN
ap-7675	151	28	)	)	PUNCT
ap-7675	151	29	)	)	PUNCT
ap-7675	151	30	,	,	PUNCT
ap-7675	151	31	(	(	PUNCT
ap-7675	151	32	33	33	NUM
ap-7675	151	33	)	)	PUNCT
ap-7675	151	34	where	where	SCONJ
ap-7675	151	35	ψα,1(x	ψα,1(x	ADJ
ap-7675	151	36	,	,	PUNCT
ap-7675	151	37	t	t	PROPN
ap-7675	151	38	)	)	PUNCT
ap-7675	151	39	=	=	PUNCT
ap-7675	152	1	∞∑	∞∑	NUM
ap-7675	152	2	n=1	n=1	ADP
ap-7675	152	3	αne−ient	αne−ient	NOUN
ap-7675	152	4	√	√	NUM
ap-7675	152	5	n	n	CCONJ
ap-7675	152	6	!	!	NOUN
ap-7675	152	7	ψn−1(x	ψn−1(x	NOUN
ap-7675	152	8	)	)	PUNCT
ap-7675	152	9	,	,	PUNCT
ap-7675	152	10	(	(	PUNCT
ap-7675	152	11	34a	34a	NOUN
ap-7675	152	12	)	)	PUNCT
ap-7675	152	13	ψα,2(x	ψα,2(x	PROPN
ap-7675	152	14	,	,	PUNCT
ap-7675	152	15	t	t	PROPN
ap-7675	152	16	)	)	PUNCT
ap-7675	152	17	=	=	PUNCT
ap-7675	153	1	∞∑	∞∑	PRON
ap-7675	153	2	n=0	n=0	NUM
ap-7675	153	3	αne−ient	αne−ient	NOUN
ap-7675	153	4	√	√	NUM
ap-7675	153	5	n	n	CCONJ
ap-7675	153	6	!	!	PUNCT
ap-7675	153	7	ψn(x	ψn(x	ADP
ap-7675	153	8	)	)	PUNCT
ap-7675	153	9	.	.	PUNCT
ap-7675	154	1	(	(	PUNCT
ap-7675	154	2	34b	34b	NUM
ap-7675	154	3	)	)	PUNCT
ap-7675	154	4	the	the	DET
ap-7675	154	5	time	time	NOUN
ap-7675	154	6	-	-	PUNCT
ap-7675	154	7	dependent	dependent	ADJ
ap-7675	154	8	probability	probability	NOUN
ap-7675	154	9	density	density	NOUN
ap-7675	154	10	|ψ̄α(r	|ψ̄α(r	NOUN
ap-7675	154	11	,	,	PUNCT
ap-7675	154	12	t)|2	t)|2	PROPN
ap-7675	154	13	is	be	AUX
ap-7675	154	14	|ψ̄α(r	|ψ̄α(r	PROPN
ap-7675	154	15	,	,	PUNCT
ap-7675	154	16	t)|2	t)|2	NOUN
ap-7675	154	17	=	=	SYM
ap-7675	154	18	n	n	PRON
ap-7675	154	19	2	2	NUM
ap-7675	154	20	α	α	NOUN
ap-7675	154	21	{	{	PUNCT
ap-7675	154	22	|ψα,1(x	|ψα,1(x	NOUN
ap-7675	154	23	,	,	PUNCT
ap-7675	154	24	t)|2	t)|2	NOUN
ap-7675	154	25	+	+	CCONJ
ap-7675	154	26	|ψα,2(x	|ψα,2(x	NOUN
ap-7675	154	27	,	,	PUNCT
ap-7675	154	28	t)|2	t)|2	VERB
ap-7675	154	29	−	−	PROPN
ap-7675	154	30	2λβνℜ	2λβνℜ	NUM
ap-7675	154	31	[	[	PUNCT
ap-7675	154	32	ψ∗	ψ∗	PROPN
ap-7675	154	33	α,1(x	α,1(x	PROPN
ap-7675	154	34	,	,	PUNCT
ap-7675	154	35	t)ψα,2(x	t)ψα,2(x	PROPN
ap-7675	154	36	,	,	PUNCT
ap-7675	154	37	t	t	PROPN
ap-7675	154	38	)	)	PUNCT
ap-7675	154	39	]	]	PUNCT
ap-7675	155	1	}	}	PUNCT
ap-7675	155	2	,	,	PUNCT
ap-7675	155	3	(	(	PUNCT
ap-7675	155	4	35	35	NUM
ap-7675	155	5	)	)	PUNCT
ap-7675	155	6	where	where	SCONJ
ap-7675	155	7	ℜ(z	ℜ(z	NOUN
ap-7675	155	8	)	)	PUNCT
ap-7675	155	9	denotes	denote	VERB
ap-7675	155	10	the	the	DET
ap-7675	155	11	real	real	ADJ
ap-7675	155	12	part	part	NOUN
ap-7675	155	13	of	of	ADP
ap-7675	155	14	a	a	DET
ap-7675	155	15	complex	complex	ADJ
ap-7675	155	16	number	number	NOUN
ap-7675	155	17	z.	z.	NOUN
ap-7675	155	18	figure	figure	NOUN
ap-7675	155	19	3	3	NUM
ap-7675	155	20	shows	show	VERB
ap-7675	155	21	the	the	DET
ap-7675	155	22	time	time	NOUN
ap-7675	155	23	evolution	evolution	NOUN
ap-7675	155	24	of	of	ADP
ap-7675	155	25	the	the	DET
ap-7675	155	26	probability	probability	NOUN
ap-7675	155	27	distribution	distribution	NOUN
ap-7675	155	28	of	of	ADP
ap-7675	155	29	the	the	DET
ap-7675	155	30	css	css	PROPN
ap-7675	155	31	for	for	ADP
ap-7675	155	32	8b	8b	NUM
ap-7675	155	33	and	and	CCONJ
ap-7675	155	34	2bh	2bh	ADJ
ap-7675	155	35	−	−	PROPN
ap-7675	155	36	pmmn	pmmn	NOUN
ap-7675	155	37	borophene	borophene	NOUN
ap-7675	155	38	.	.	PUNCT
ap-7675	156	1	we	we	PRON
ap-7675	156	2	can	can	AUX
ap-7675	156	3	see	see	VERB
ap-7675	156	4	that	that	SCONJ
ap-7675	156	5	in	in	ADP
ap-7675	156	6	both	both	DET
ap-7675	156	7	cases	case	NOUN
ap-7675	156	8	,	,	PUNCT
ap-7675	156	9	the	the	DET
ap-7675	156	10	density	density	NOUN
ap-7675	156	11	probability	probability	NOUN
ap-7675	156	12	in	in	ADP
ap-7675	156	13	valley	valley	NOUN
ap-7675	156	14	k	k	PROPN
ap-7675	156	15	evolves	evolve	VERB
ap-7675	156	16	faster	fast	ADV
ap-7675	156	17	than	than	ADP
ap-7675	156	18	that	that	PRON
ap-7675	156	19	in	in	ADP
ap-7675	156	20	valley	valley	NOUN
ap-7675	156	21	k	k	NOUN
ap-7675	156	22	’	'	PUNCT
ap-7675	156	23	.	.	PUNCT
ap-7675	157	1	this	this	PRON
ap-7675	157	2	means	mean	VERB
ap-7675	157	3	that	that	SCONJ
ap-7675	157	4	dirac	dirac	NOUN
ap-7675	157	5	fermions	fermion	NOUN
ap-7675	157	6	take	take	VERB
ap-7675	157	7	less	less	ADJ
ap-7675	157	8	time	time	NOUN
ap-7675	157	9	to	to	PART
ap-7675	157	10	complete	complete	VERB
ap-7675	157	11	a	a	DET
ap-7675	157	12	loop	loop	NOUN
ap-7675	157	13	around	around	ADP
ap-7675	157	14	the	the	DET
ap-7675	157	15	equilibrium	equilibrium	NOUN
ap-7675	157	16	point	point	NOUN
ap-7675	157	17	.	.	PUNCT
ap-7675	158	1	the	the	DET
ap-7675	158	2	function	function	NOUN
ap-7675	158	3	|ψ̄α(r	|ψ̄α(r	PROPN
ap-7675	158	4	,	,	PUNCT
ap-7675	158	5	t)|2	t)|2	PROPN
ap-7675	158	6	shows	show	VERB
ap-7675	158	7	maximum	maximum	ADJ
ap-7675	158	8	values	value	NOUN
ap-7675	158	9	close	close	ADJ
ap-7675	158	10	to	to	ADP
ap-7675	158	11	the	the	DET
ap-7675	158	12	turning	turning	NOUN
ap-7675	158	13	points	point	NOUN
ap-7675	158	14	in	in	ADP
ap-7675	158	15	the	the	DET
ap-7675	158	16	x	x	NOUN
ap-7675	158	17	-	-	NOUN
ap-7675	158	18	axis	axis	ADJ
ap-7675	158	19	.	.	PUNCT
ap-7675	159	1	besides	besides	SCONJ
ap-7675	159	2	,	,	PUNCT
ap-7675	159	3	with	with	ADP
ap-7675	159	4	the	the	DET
ap-7675	159	5	values	value	NOUN
ap-7675	159	6	chosen	choose	VERB
ap-7675	159	7	for	for	ADP
ap-7675	159	8	the	the	DET
ap-7675	159	9	parameters	parameter	NOUN
ap-7675	159	10	α	α	X
ap-7675	159	11	=	=	SYM
ap-7675	159	12	4i	4i	NOUN
ap-7675	159	13	,	,	PUNCT
ap-7675	159	14	ky	ky	PROPN
ap-7675	159	15	=	=	PUNCT
ap-7675	159	16	0	0	NUM
ap-7675	159	17	and	and	CCONJ
ap-7675	159	18	b	b	X
ap-7675	159	19	=	=	SYM
ap-7675	159	20	1	1	NUM
ap-7675	159	21	,	,	PUNCT
ap-7675	159	22	the	the	DET
ap-7675	159	23	probability	probability	NOUN
ap-7675	159	24	density	density	NOUN
ap-7675	159	25	of	of	ADP
ap-7675	159	26	the	the	DET
ap-7675	159	27	css	css	PROPN
ap-7675	159	28	with	with	ADP
ap-7675	159	29	ν	ν	X
ap-7675	159	30	=	=	SYM
ap-7675	159	31	−1	−1	NOUN
ap-7675	159	32	for	for	SCONJ
ap-7675	159	33	8b	8b	PROPN
ap-7675	159	34	−	−	PROPN
ap-7675	159	35	pmmn	pmmn	NOUN
ap-7675	159	36	borophene	borophene	NOUN
ap-7675	159	37	shows	show	VERB
ap-7675	159	38	a	a	DET
ap-7675	159	39	different	different	ADJ
ap-7675	159	40	behavior	behavior	NOUN
ap-7675	159	41	in	in	ADP
ap-7675	159	42	time	time	NOUN
ap-7675	159	43	in	in	ADP
ap-7675	159	44	comparison	comparison	NOUN
ap-7675	159	45	to	to	ADP
ap-7675	159	46	the	the	DET
ap-7675	159	47	other	other	ADJ
ap-7675	159	48	cases	case	NOUN
ap-7675	159	49	.	.	PUNCT
ap-7675	160	1	this	this	PRON
ap-7675	160	2	is	be	AUX
ap-7675	160	3	related	relate	VERB
ap-7675	160	4	to	to	ADP
ap-7675	160	5	the	the	DET
ap-7675	160	6	fact	fact	NOUN
ap-7675	160	7	for	for	ADP
ap-7675	160	8	the	the	DET
ap-7675	160	9	electric	electric	ADJ
ap-7675	160	10	field	field	NOUN
ap-7675	160	11	considered	consider	VERB
ap-7675	160	12	(	(	PUNCT
ap-7675	160	13	e	e	NOUN
ap-7675	160	14	=	=	NOUN
ap-7675	160	15	0.25	0.25	NUM
ap-7675	160	16	)	)	PUNCT
ap-7675	160	17	,	,	PUNCT
ap-7675	160	18	the	the	DET
ap-7675	160	19	corresponding	correspond	VERB
ap-7675	160	20	energy	energy	NOUN
ap-7675	160	21	spectrum	spectrum	NOUN
ap-7675	160	22	is	be	AUX
ap-7675	160	23	near	near	ADJ
ap-7675	160	24	to	to	PART
ap-7675	160	25	collapse	collapse	VERB
ap-7675	160	26	,	,	PUNCT
ap-7675	160	27	indicating	indicate	VERB
ap-7675	160	28	the	the	DET
ap-7675	160	29	classical	classical	ADJ
ap-7675	160	30	orbits	orbit	NOUN
ap-7675	160	31	that	that	PRON
ap-7675	160	32	the	the	DET
ap-7675	160	33	charge	charge	NOUN
ap-7675	160	34	carriers	carrier	NOUN
ap-7675	160	35	in	in	ADP
ap-7675	160	36	valley	valley	NOUN
ap-7675	160	37	k	k	NOUN
ap-7675	160	38	’	'	PUNCT
ap-7675	160	39	follow	follow	NOUN
ap-7675	160	40	are	be	AUX
ap-7675	160	41	more	more	ADV
ap-7675	160	42	open	open	ADJ
ap-7675	160	43	compared	compare	VERB
ap-7675	160	44	with	with	ADP
ap-7675	160	45	those	those	PRON
ap-7675	160	46	in	in	ADP
ap-7675	160	47	k	k	PROPN
ap-7675	160	48	for	for	ADP
ap-7675	160	49	8b	8b	PROPN
ap-7675	160	50	−	−	PROPN
ap-7675	160	51	pmmn	pmmn	NOUN
ap-7675	160	52	borophene	borophene	NOUN
ap-7675	160	53	,	,	PUNCT
ap-7675	160	54	and	and	CCONJ
ap-7675	160	55	even	even	ADV
ap-7675	160	56	for	for	ADP
ap-7675	160	57	those	those	DET
ap-7675	160	58	ones	one	NOUN
ap-7675	160	59	in	in	ADP
ap-7675	160	60	2bh	2bh	ADJ
ap-7675	160	61	−	−	PROPN
ap-7675	160	62	pmmn	pmmn	NOUN
ap-7675	160	63	borophene	borophene	NOUN
ap-7675	160	64	.	.	PUNCT
ap-7675	161	1	3.5	3.5	NUM
ap-7675	161	2	.	.	PUNCT
ap-7675	162	1	obtaining	obtain	VERB
ap-7675	162	2	of	of	ADP
ap-7675	162	3	the	the	DET
ap-7675	162	4	time	time	NOUN
ap-7675	162	5	-	-	PUNCT
ap-7675	162	6	dependent	dependent	ADJ
ap-7675	162	7	wigner	wigner	NOUN
ap-7675	162	8	function	function	NOUN
ap-7675	162	9	for	for	ADP
ap-7675	162	10	coherent	coherent	ADJ
ap-7675	162	11	electron	electron	NOUN
ap-7675	162	12	states	state	NOUN
ap-7675	162	13	to	to	PART
ap-7675	162	14	calculate	calculate	VERB
ap-7675	162	15	the	the	DET
ap-7675	162	16	wigner	wigner	ADJ
ap-7675	162	17	matrix	matrix	NOUN
ap-7675	162	18	(	(	PUNCT
ap-7675	162	19	wm	wm	PROPN
ap-7675	162	20	)	)	PUNCT
ap-7675	163	1	[	[	X
ap-7675	163	2	84	84	NUM
ap-7675	163	3	]	]	PUNCT
ap-7675	163	4	for	for	ADP
ap-7675	163	5	the	the	DET
ap-7675	163	6	coherent	coherent	ADJ
ap-7675	163	7	states	state	NOUN
ap-7675	163	8	in	in	ADP
ap-7675	163	9	eq	eq	ADP
ap-7675	163	10	.	.	PUNCT
ap-7675	164	1	(	(	PUNCT
ap-7675	164	2	33	33	NUM
ap-7675	164	3	)	)	PUNCT
ap-7675	164	4	in	in	ADP
ap-7675	164	5	valleys	valley	NOUN
ap-7675	164	6	k	k	PROPN
ap-7675	164	7	and	and	CCONJ
ap-7675	164	8	k	k	NOUN
ap-7675	164	9	’	'	PUNCT
ap-7675	164	10	,	,	PUNCT
ap-7675	164	11	we	we	PRON
ap-7675	164	12	substitute	substitute	VERB
ap-7675	164	13	them	they	PRON
ap-7675	164	14	into	into	ADP
ap-7675	164	15	the	the	DET
ap-7675	164	16	integral	integral	ADJ
ap-7675	164	17	matrix	matrix	NOUN
ap-7675	164	18	representation	representation	NOUN
ap-7675	164	19	in	in	ADP
ap-7675	164	20	eq	eq	ADP
ap-7675	164	21	.	.	PUNCT
ap-7675	165	1	(	(	PUNCT
ap-7675	165	2	1	1	X
ap-7675	165	3	)	)	PUNCT
ap-7675	165	4	to	to	PART
ap-7675	165	5	get	get	VERB
ap-7675	165	6	[	[	X
ap-7675	165	7	35	35	NUM
ap-7675	165	8	]	]	SYM
ap-7675	165	9	:	:	PUNCT
ap-7675	166	1	wα(r	wα(r	NOUN
ap-7675	166	2	,	,	PUNCT
ap-7675	166	3	p	p	NOUN
ap-7675	166	4	)	)	PUNCT
ap-7675	166	5	=	=	SYM
ap-7675	166	6	mwα(r	mwα(r	PROPN
ap-7675	166	7	,	,	PUNCT
ap-7675	166	8	p)m†.	p)m†.	PROPN
ap-7675	166	9	(	(	PUNCT
ap-7675	166	10	36	36	NUM
ap-7675	166	11	)	)	PUNCT
ap-7675	166	12	thus	thus	ADV
ap-7675	166	13	,	,	PUNCT
ap-7675	166	14	the	the	DET
ap-7675	166	15	trace	trace	NOUN
ap-7675	166	16	of	of	ADP
ap-7675	166	17	this	this	DET
ap-7675	166	18	matrix	matrix	NOUN
ap-7675	166	19	provides	provide	VERB
ap-7675	166	20	us	we	PRON
ap-7675	166	21	an	an	DET
ap-7675	166	22	expression	expression	NOUN
ap-7675	166	23	of	of	ADP
ap-7675	166	24	the	the	DET
ap-7675	166	25	time	time	NOUN
ap-7675	166	26	-	-	PUNCT
ap-7675	166	27	dependent	dependent	ADJ
ap-7675	166	28	wf	wf	NOUN
ap-7675	166	29	of	of	ADP
ap-7675	166	30	the	the	DET
ap-7675	166	31	coherent	coherent	ADJ
ap-7675	166	32	states	state	NOUN
ap-7675	166	33	:	:	PUNCT
ap-7675	166	34	tr[wα(r	tr[wα(r	NUM
ap-7675	166	35	,	,	PUNCT
ap-7675	166	36	p	p	X
ap-7675	166	37	,	,	PUNCT
ap-7675	166	38	t	t	PROPN
ap-7675	166	39	)	)	PUNCT
ap-7675	166	40	]	]	PUNCT
ap-7675	167	1	=	=	PUNCT
ap-7675	167	2	n	n	PRON
ap-7675	167	3	2	2	NUM
ap-7675	167	4	α	α	NOUN
ap-7675	167	5	δ	δ	PROPN
ap-7675	167	6	(	(	PUNCT
ap-7675	167	7	py	py	PROPN
ap-7675	167	8	−	−	PROPN
ap-7675	167	9	ky	ky	PROPN
ap-7675	167	10	)	)	PUNCT
ap-7675	167	11	{	{	PUNCT
ap-7675	167	12	w11(χ	w11(χ	PROPN
ap-7675	167	13	,	,	PUNCT
ap-7675	167	14	t	t	PROPN
ap-7675	167	15	)	)	PUNCT
ap-7675	167	16	+	+	NOUN
ap-7675	167	17	w22(χ	w22(χ	PROPN
ap-7675	167	18	,	,	PUNCT
ap-7675	167	19	t	t	PROPN
ap-7675	167	20	)	)	PUNCT
ap-7675	167	21	−	−	PROPN
ap-7675	167	22	2λβνℜ[w12(χ	2λβνℜ[w12(χ	NUM
ap-7675	167	23	,	,	PUNCT
ap-7675	167	24	t	t	PROPN
ap-7675	167	25	)	)	PUNCT
ap-7675	167	26	]	]	PUNCT
ap-7675	167	27	}	}	PUNCT
ap-7675	167	28	,	,	PUNCT
ap-7675	167	29	(	(	PUNCT
ap-7675	167	30	37	37	NUM
ap-7675	167	31	)	)	PUNCT
ap-7675	167	32	where	where	SCONJ
ap-7675	167	33	the	the	DET
ap-7675	167	34	components	components	PROPN
ap-7675	167	35	w11	w11	PROPN
ap-7675	167	36	,	,	PUNCT
ap-7675	167	37	w22	w22	PROPN
ap-7675	167	38	and	and	CCONJ
ap-7675	167	39	w12	w12	PROPN
ap-7675	167	40	are	be	AUX
ap-7675	167	41	the	the	DET
ap-7675	167	42	corresponding	corresponding	ADJ
ap-7675	167	43	wigner	wigner	NOUN
ap-7675	167	44	functions	function	NOUN
ap-7675	167	45	of	of	ADP
ap-7675	167	46	the	the	DET
ap-7675	167	47	terms	term	NOUN
ap-7675	167	48	in	in	ADP
ap-7675	167	49	eq	eq	ADP
ap-7675	167	50	.	.	PUNCT
ap-7675	167	51	(	(	PUNCT
ap-7675	167	52	34	34	NUM
ap-7675	167	53	)	)	PUNCT
ap-7675	167	54	and	and	CCONJ
ap-7675	167	55	their	their	PRON
ap-7675	167	56	product	product	NOUN
ap-7675	167	57	,	,	PUNCT
ap-7675	167	58	and	and	CCONJ
ap-7675	167	59	that	that	SCONJ
ap-7675	167	60	in	in	ADP
ap-7675	167	61	general	general	ADJ
ap-7675	167	62	involve	involve	VERB
ap-7675	167	63	sums	sum	VERB
ap-7675	167	64	42	42	NUM
ap-7675	167	65	vol	vol	NOUN
ap-7675	167	66	.	.	PUNCT
ap-7675	168	1	62	62	NUM
ap-7675	169	1	no	no	INTJ
ap-7675	169	2	.	.	PUNCT
ap-7675	170	1	1/2022	1/2022	NUM
ap-7675	170	2	coherent	coherent	ADJ
ap-7675	170	3	electron	electron	NOUN
ap-7675	170	4	states	state	NOUN
ap-7675	170	5	in	in	ADP
ap-7675	170	6	monolayers	monolayer	NOUN
ap-7675	170	7	of	of	ADP
ap-7675	170	8	boron	boron	NOUN
ap-7675	170	9	allotropes	allotrope	NOUN
ap-7675	170	10	(	(	PUNCT
ap-7675	170	11	a	a	NOUN
ap-7675	170	12	)	)	PUNCT
ap-7675	170	13	ν	ν	NOUN
ap-7675	170	14	=	=	SYM
ap-7675	170	15	1	1	NUM
ap-7675	170	16	(	(	PUNCT
ap-7675	170	17	b	b	NOUN
ap-7675	170	18	)	)	PUNCT
ap-7675	170	19	ν	ν	NOUN
ap-7675	170	20	=	=	SYM
ap-7675	170	21	−1	−1	NOUN
ap-7675	170	22	10	10	NUM
ap-7675	170	23	5	5	NUM
ap-7675	170	24	0	0	NUM
ap-7675	170	25	5	5	NUM
ap-7675	170	26	10	10	NUM
ap-7675	170	27	x	x	SYM
ap-7675	170	28	0	0	NUM
ap-7675	170	29	20	20	NUM
ap-7675	170	30	40	40	NUM
ap-7675	170	31	60	60	NUM
ap-7675	170	32	80	80	NUM
ap-7675	170	33	100	100	NUM
ap-7675	170	34	t	t	NOUN
ap-7675	170	35	0.0	0.0	NUM
ap-7675	170	36	0.1	0.1	NUM
ap-7675	170	37	0.2	0.2	NUM
ap-7675	170	38	0.3	0.3	NUM
ap-7675	170	39	0.4	0.4	NUM
ap-7675	170	40	0.5	0.5	NUM
ap-7675	170	41	0.6	0.6	NUM
ap-7675	170	42	0.7	0.7	NUM
ap-7675	170	43	0.8	0.8	NUM
ap-7675	170	44	0.9	0.9	NUM
ap-7675	170	45	15	15	NUM
ap-7675	170	46	10	10	NUM
ap-7675	170	47	5	5	NUM
ap-7675	170	48	0	0	NUM
ap-7675	170	49	5	5	NUM
ap-7675	170	50	x	x	SYM
ap-7675	170	51	0	0	NUM
ap-7675	170	52	50	50	NUM
ap-7675	170	53	100	100	NUM
ap-7675	170	54	150	150	NUM
ap-7675	170	55	200	200	NUM
ap-7675	170	56	t	t	NOUN
ap-7675	170	57	0.0	0.0	NUM
ap-7675	170	58	0.1	0.1	NUM
ap-7675	170	59	0.2	0.2	NUM
ap-7675	170	60	0.3	0.3	NUM
ap-7675	170	61	0.4	0.4	NUM
ap-7675	170	62	0.5	0.5	NUM
ap-7675	170	63	0.6	0.6	NUM
ap-7675	170	64	0.7	0.7	NUM
ap-7675	170	65	0.8	0.8	NUM
ap-7675	170	66	0.9	0.9	NUM
ap-7675	170	67	(	(	PUNCT
ap-7675	170	68	c	c	NOUN
ap-7675	170	69	)	)	PUNCT
ap-7675	170	70	ν	ν	NOUN
ap-7675	171	1	=	=	SYM
ap-7675	171	2	1	1	NUM
ap-7675	171	3	(	(	PUNCT
ap-7675	171	4	d	d	NOUN
ap-7675	171	5	)	)	PUNCT
ap-7675	171	6	ν	ν	NOUN
ap-7675	171	7	=	=	SYM
ap-7675	171	8	−1	−1	NOUN
ap-7675	171	9	10	10	NUM
ap-7675	171	10	5	5	NUM
ap-7675	171	11	0	0	NUM
ap-7675	171	12	5	5	NUM
ap-7675	171	13	10	10	NUM
ap-7675	171	14	x	x	SYM
ap-7675	171	15	0	0	NUM
ap-7675	171	16	20	20	NUM
ap-7675	171	17	40	40	NUM
ap-7675	171	18	60	60	NUM
ap-7675	171	19	t	t	NOUN
ap-7675	171	20	0.00	0.00	NUM
ap-7675	171	21	0.12	0.12	NUM
ap-7675	171	22	0.24	0.24	NUM
ap-7675	171	23	0.36	0.36	NUM
ap-7675	171	24	0.48	0.48	NUM
ap-7675	171	25	0.60	0.60	NUM
ap-7675	171	26	0.72	0.72	NUM
ap-7675	171	27	0.84	0.84	NUM
ap-7675	171	28	0.96	0.96	NUM
ap-7675	171	29	10	10	NUM
ap-7675	171	30	5	5	NUM
ap-7675	171	31	0	0	NUM
ap-7675	171	32	5	5	NUM
ap-7675	171	33	x	x	SYM
ap-7675	171	34	0	0	NUM
ap-7675	171	35	20	20	NUM
ap-7675	171	36	40	40	NUM
ap-7675	171	37	60	60	NUM
ap-7675	171	38	80	80	NUM
ap-7675	171	39	t	t	NOUN
ap-7675	171	40	0.000	0.000	NUM
ap-7675	171	41	0.135	0.135	NUM
ap-7675	171	42	0.270	0.270	NUM
ap-7675	171	43	0.405	0.405	NUM
ap-7675	171	44	0.540	0.540	NUM
ap-7675	171	45	0.675	0.675	NUM
ap-7675	171	46	0.810	0.810	NUM
ap-7675	171	47	0.945	0.945	NUM
ap-7675	171	48	1.080	1.080	NUM
ap-7675	171	49	1.215	1.215	NUM
ap-7675	171	50	figure	figure	NOUN
ap-7675	171	51	3	3	NUM
ap-7675	171	52	.	.	NOUN
ap-7675	171	53	time	time	NOUN
ap-7675	171	54	evolution	evolution	NOUN
ap-7675	171	55	of	of	ADP
ap-7675	171	56	the	the	DET
ap-7675	171	57	probability	probability	NOUN
ap-7675	171	58	density	density	NOUN
ap-7675	171	59	|ψα(r	|ψα(r	PROPN
ap-7675	171	60	,	,	PUNCT
ap-7675	171	61	t)|2	t)|2	NOUN
ap-7675	171	62	in	in	ADP
ap-7675	171	63	eq	eq	ADP
ap-7675	171	64	.	.	PUNCT
ap-7675	171	65	(	(	PUNCT
ap-7675	171	66	35	35	NUM
ap-7675	171	67	)	)	PUNCT
ap-7675	171	68	with	with	ADP
ap-7675	171	69	ky	ky	PROPN
ap-7675	171	70	=	=	SYM
ap-7675	171	71	0	0	PROPN
ap-7675	171	72	,	,	PUNCT
ap-7675	171	73	b	b	X
ap-7675	171	74	=	=	SYM
ap-7675	171	75	1	1	NUM
ap-7675	171	76	,	,	PUNCT
ap-7675	171	77	α	α	NOUN
ap-7675	171	78	=	=	SYM
ap-7675	171	79	4i	4i	NOUN
ap-7675	171	80	,	,	PUNCT
ap-7675	171	81	e	e	X
ap-7675	171	82	=	=	SYM
ap-7675	171	83	0.25	0.25	NUM
ap-7675	171	84	and	and	CCONJ
ap-7675	171	85	λ	λ	X
ap-7675	171	86	=	=	NOUN
ap-7675	171	87	1	1	NUM
ap-7675	171	88	for	for	ADP
ap-7675	171	89	8b	8b	NUM
ap-7675	171	90	−	−	PROPN
ap-7675	171	91	pmmn	pmmn	NOUN
ap-7675	171	92	borophene	borophene	NOUN
ap-7675	171	93	(	(	PUNCT
ap-7675	171	94	a	a	DET
ap-7675	171	95	,	,	PUNCT
ap-7675	171	96	b	b	NOUN
ap-7675	171	97	)	)	PUNCT
ap-7675	171	98	and	and	CCONJ
ap-7675	171	99	2bh	2bh	ADJ
ap-7675	171	100	−	−	PROPN
ap-7675	171	101	pmmn	pmmn	NOUN
ap-7675	171	102	borophene	borophene	NOUN
ap-7675	171	103	(	(	PUNCT
ap-7675	171	104	c	c	X
ap-7675	171	105	,	,	PUNCT
ap-7675	171	106	d	d	NOUN
ap-7675	171	107	)	)	PUNCT
ap-7675	171	108	in	in	ADP
ap-7675	171	109	each	each	DET
ap-7675	171	110	dirac	dirac	NOUN
ap-7675	171	111	point	point	NOUN
ap-7675	171	112	(	(	PUNCT
ap-7675	171	113	ν	ν	X
ap-7675	171	114	=	=	SYM
ap-7675	171	115	±1	±1	PROPN
ap-7675	171	116	)	)	PUNCT
ap-7675	171	117	.	.	PUNCT
ap-7675	172	1	of	of	ADP
ap-7675	172	2	functions	function	NOUN
ap-7675	172	3	of	of	ADP
ap-7675	172	4	the	the	DET
ap-7675	172	5	form	form	NOUN
ap-7675	172	6	(	(	PUNCT
ap-7675	172	7	see	see	VERB
ap-7675	172	8	[	[	X
ap-7675	172	9	35	35	NUM
ap-7675	172	10	]	]	PUNCT
ap-7675	172	11	for	for	ADP
ap-7675	172	12	more	more	ADJ
ap-7675	172	13	details	detail	NOUN
ap-7675	172	14	)	)	PUNCT
ap-7675	172	15	wu	wu	PROPN
ap-7675	172	16	,	,	PUNCT
ap-7675	172	17	v(χn	v(χn	PROPN
ap-7675	172	18	,	,	PUNCT
ap-7675	172	19	m	m	NOUN
ap-7675	172	20	)	)	PUNCT
ap-7675	173	1	=	=	SYM
ap-7675	173	2	1	1	NUM
ap-7675	173	3	π	π	NOUN
ap-7675	173	4	exp	exp	NOUN
ap-7675	173	5	(	(	PUNCT
ap-7675	173	6	−1	−1	NOUN
ap-7675	173	7	2	2	NUM
ap-7675	173	8	|χn	|χn	NUM
ap-7675	173	9	,	,	PUNCT
ap-7675	173	10	m|2	m|2	PROPN
ap-7675	173	11	+	+	NOUN
ap-7675	173	12	i(ζn	i(ζn	NOUN
ap-7675	173	13	−	−	PROPN
ap-7675	173	14	ζm)s	ζm)s	PROPN
ap-7675	173	15	)	)	PUNCT
ap-7675	173	16	×	×	NOUN
ap-7675	173	17			PUNCT
ap-7675	173	18	(	(	PUNCT
ap-7675	173	19	−1)u	−1)u	PART
ap-7675	173	20	√	√	ADP
ap-7675	173	21	u	u	NOUN
ap-7675	173	22	!	!	PUNCT
ap-7675	173	23	v!χ	v!χ	NOUN
ap-7675	173	24	v−u	v−u	NOUN
ap-7675	173	25	n	n	CCONJ
ap-7675	173	26	,	,	PUNCT
ap-7675	173	27	ml	ml	AUX
ap-7675	173	28	v−u	v−u	VERB
ap-7675	173	29	u	u	PROPN
ap-7675	173	30	(	(	PUNCT
ap-7675	173	31	|χn	|χn	NUM
ap-7675	173	32	,	,	PUNCT
ap-7675	173	33	m|2	m|2	NOUN
ap-7675	173	34	)	)	PUNCT
ap-7675	173	35	,	,	PUNCT
ap-7675	173	36	if	if	SCONJ
ap-7675	173	37	u	u	NOUN
ap-7675	173	38	≤	≤	X
ap-7675	173	39	v	v	NOUN
ap-7675	173	40	,	,	PUNCT
ap-7675	173	41	(	(	PUNCT
ap-7675	173	42	−1)v	−1)v	X
ap-7675	173	43	√	√	NUM
ap-7675	173	44	v	v	NOUN
ap-7675	173	45	!	!	PUNCT
ap-7675	174	1	u!χ	u!χ	PROPN
ap-7675	174	2	∗u−v	∗u−v	PROPN
ap-7675	174	3	n	n	CCONJ
ap-7675	174	4	,	,	PUNCT
ap-7675	174	5	m	m	VERB
ap-7675	174	6	lu−v	lu−v	ADJ
ap-7675	174	7	v	v	ADP
ap-7675	174	8	(	(	PUNCT
ap-7675	174	9	|χn	|χn	NUM
ap-7675	174	10	,	,	PUNCT
ap-7675	174	11	m|2	m|2	NOUN
ap-7675	174	12	)	)	PUNCT
ap-7675	174	13	,	,	PUNCT
ap-7675	174	14	if	if	SCONJ
ap-7675	174	15	u	u	PROPN
ap-7675	174	16	≥	≥	NOUN
ap-7675	174	17	v	v	ADP
ap-7675	174	18	,	,	PUNCT
ap-7675	174	19	(	(	PUNCT
ap-7675	174	20	38	38	NUM
ap-7675	174	21	)	)	PUNCT
ap-7675	174	22	with	with	ADP
ap-7675	174	23	lm	lm	INTJ
ap-7675	174	24	n	n	CCONJ
ap-7675	174	25	(	(	PUNCT
ap-7675	174	26	·	·	PUNCT
ap-7675	174	27	)	)	PUNCT
ap-7675	174	28	denoting	denote	VERB
ap-7675	174	29	the	the	DET
ap-7675	174	30	associated	associated	ADJ
ap-7675	174	31	laguerre	laguerre	NOUN
ap-7675	174	32	polynomials	polynomial	NOUN
ap-7675	174	33	,	,	PUNCT
ap-7675	174	34	and	and	CCONJ
ap-7675	174	35	χn	χn	ADV
ap-7675	174	36	,	,	PUNCT
ap-7675	174	37	m	m	VERB
ap-7675	174	38	=	=	ADJ
ap-7675	174	39	ζn	ζn	ADP
ap-7675	174	40	+	+	CCONJ
ap-7675	174	41	ζm√	ζm√	ADP
ap-7675	174	42	2	2	NUM
ap-7675	175	1	+	+	CCONJ
ap-7675	175	2	i	i	PRON
ap-7675	175	3	√	√	VERB
ap-7675	175	4	2	2	NUM
ap-7675	175	5	s	s	NOUN
ap-7675	175	6	,	,	PUNCT
ap-7675	175	7	χn	χn	X
ap-7675	175	8	≡	≡	PROPN
ap-7675	175	9	χn	χn	PROPN
ap-7675	175	10	,	,	PUNCT
ap-7675	175	11	n	n	CCONJ
ap-7675	175	12	,	,	PUNCT
ap-7675	175	13	(	(	PUNCT
ap-7675	175	14	39a	39a	NOUN
ap-7675	175	15	)	)	PUNCT
ap-7675	175	16	s	s	PART
ap-7675	175	17	=	=	PUNCT
ap-7675	175	18	(	(	PUNCT
ap-7675	175	19	1	1	NUM
ap-7675	175	20	−	−	NOUN
ap-7675	175	21	β2	β2	NOUN
ap-7675	175	22	ν	ν	NOUN
ap-7675	175	23	)	)	PUNCT
ap-7675	175	24	−1/4	−1/4	NOUN
ap-7675	176	1	√	√	ADP
ap-7675	176	2	2vx	2vx	ADJ
ap-7675	176	3	ωbvy	ωbvy	NOUN
ap-7675	176	4	px	px	NOUN
ap-7675	176	5	.	.	PROPN
ap-7675	176	6	(	(	PUNCT
ap-7675	176	7	39b	39b	NOUN
ap-7675	176	8	)	)	PUNCT
ap-7675	176	9	the	the	DET
ap-7675	176	10	time	time	NOUN
ap-7675	176	11	evolution	evolution	NOUN
ap-7675	176	12	of	of	ADP
ap-7675	176	13	the	the	DET
ap-7675	176	14	wm	wm	PROPN
ap-7675	176	15	trace	trace	NOUN
ap-7675	176	16	for	for	ADP
ap-7675	176	17	the	the	DET
ap-7675	176	18	css	css	PROPN
ap-7675	176	19	is	be	AUX
ap-7675	176	20	shown	show	VERB
ap-7675	176	21	in	in	ADP
ap-7675	176	22	figures	figure	NOUN
ap-7675	176	23	4	4	NUM
ap-7675	176	24	and	and	CCONJ
ap-7675	176	25	5	5	NUM
ap-7675	176	26	for	for	ADP
ap-7675	176	27	8b	8b	NUM
ap-7675	176	28	and	and	CCONJ
ap-7675	176	29	2bh	2bh	ADJ
ap-7675	176	30	−	−	PROPN
ap-7675	176	31	pmmn	pmmn	NOUN
ap-7675	176	32	borophene	borophene	NOUN
ap-7675	176	33	,	,	PUNCT
ap-7675	176	34	respectively	respectively	ADV
ap-7675	176	35	.	.	PUNCT
ap-7675	177	1	in	in	ADP
ap-7675	177	2	both	both	DET
ap-7675	177	3	cases	case	NOUN
ap-7675	177	4	,	,	PUNCT
ap-7675	177	5	we	we	PRON
ap-7675	177	6	observe	observe	VERB
ap-7675	177	7	that	that	SCONJ
ap-7675	177	8	the	the	DET
ap-7675	177	9	wf	wf	PROPN
ap-7675	177	10	in	in	ADP
ap-7675	177	11	valley	valley	PROPN
ap-7675	177	12	k	k	PROPN
ap-7675	177	13	propagates	propagate	VERB
ap-7675	177	14	faster	fast	ADV
ap-7675	177	15	than	than	ADP
ap-7675	177	16	in	in	ADP
ap-7675	177	17	valley	valley	NOUN
ap-7675	177	18	k	k	NOUN
ap-7675	177	19	’	'	PUNCT
ap-7675	177	20	.	.	PUNCT
ap-7675	178	1	as	as	SCONJ
ap-7675	178	2	the	the	DET
ap-7675	178	3	state	state	NOUN
ap-7675	178	4	evolves	evolve	VERB
ap-7675	178	5	in	in	ADP
ap-7675	178	6	time	time	NOUN
ap-7675	178	7	,	,	PUNCT
ap-7675	178	8	the	the	DET
ap-7675	178	9	trace	trace	NOUN
ap-7675	178	10	of	of	ADP
ap-7675	178	11	the	the	DET
ap-7675	178	12	wm	wm	PROPN
ap-7675	178	13	takes	take	VERB
ap-7675	178	14	negative	negative	ADJ
ap-7675	178	15	values	value	NOUN
ap-7675	178	16	,	,	PUNCT
ap-7675	178	17	which	which	PRON
ap-7675	178	18	is	be	AUX
ap-7675	178	19	an	an	DET
ap-7675	178	20	indication	indication	NOUN
ap-7675	178	21	of	of	ADP
ap-7675	178	22	the	the	DET
ap-7675	178	23	increasing	increasing	NOUN
ap-7675	178	24	of	of	ADP
ap-7675	178	25	the	the	DET
ap-7675	178	26	cs	cs	PROPN
ap-7675	178	27	quantumness	quantumness	NOUN
ap-7675	178	28	and	and	CCONJ
ap-7675	178	29	also	also	ADV
ap-7675	178	30	of	of	ADP
ap-7675	178	31	the	the	DET
ap-7675	178	32	uncertainty	uncertainty	NOUN
ap-7675	178	33	relations	relation	NOUN
ap-7675	178	34	,	,	PUNCT
ap-7675	178	35	as	as	SCONJ
ap-7675	178	36	is	be	AUX
ap-7675	178	37	discussed	discuss	VERB
ap-7675	178	38	in	in	ADP
ap-7675	178	39	[	[	X
ap-7675	178	40	35	35	NUM
ap-7675	178	41	]	]	PUNCT
ap-7675	178	42	.	.	PUNCT
ap-7675	179	1	for	for	ADP
ap-7675	179	2	larger	large	ADJ
ap-7675	179	3	times	time	NOUN
ap-7675	179	4	,	,	PUNCT
ap-7675	179	5	the	the	DET
ap-7675	179	6	wm	wm	PROPN
ap-7675	179	7	traces	trace	NOUN
ap-7675	179	8	become	become	VERB
ap-7675	179	9	identical	identical	ADJ
ap-7675	179	10	to	to	ADP
ap-7675	179	11	that	that	PRON
ap-7675	179	12	of	of	ADP
ap-7675	179	13	the	the	DET
ap-7675	179	14	landau	landau	NOUN
ap-7675	179	15	state	state	NOUN
ap-7675	179	16	with	with	ADP
ap-7675	179	17	n	n	X
ap-7675	179	18	equal	equal	ADJ
ap-7675	179	19	to	to	ADP
ap-7675	179	20	the	the	DET
ap-7675	179	21	integer	integer	NOUN
ap-7675	179	22	part	part	NOUN
ap-7675	179	23	of	of	ADP
ap-7675	179	24	|α|2	|α|2	PROPN
ap-7675	179	25	,	,	PUNCT
ap-7675	179	26	in	in	ADP
ap-7675	179	27	agreement	agreement	NOUN
ap-7675	179	28	to	to	ADP
ap-7675	179	29	the	the	DET
ap-7675	179	30	number	number	NOUN
ap-7675	179	31	occupation	occupation	NOUN
ap-7675	179	32	distribution	distribution	NOUN
ap-7675	179	33	in	in	ADP
ap-7675	179	34	eq	eq	ADP
ap-7675	179	35	.	.	PUNCT
ap-7675	180	1	(	(	PUNCT
ap-7675	180	2	30	30	NUM
ap-7675	180	3	)	)	PUNCT
ap-7675	180	4	.	.	PUNCT
ap-7675	181	1	3.5.1	3.5.1	NUM
ap-7675	181	2	.	.	PUNCT
ap-7675	181	3	period	period	NOUN
ap-7675	181	4	of	of	ADP
ap-7675	181	5	motion	motion	NOUN
ap-7675	181	6	now	now	ADV
ap-7675	181	7	,	,	PUNCT
ap-7675	181	8	in	in	ADP
ap-7675	181	9	order	order	NOUN
ap-7675	181	10	to	to	PART
ap-7675	181	11	provide	provide	VERB
ap-7675	181	12	an	an	DET
ap-7675	181	13	approximate	approximate	ADJ
ap-7675	181	14	period	period	NOUN
ap-7675	181	15	τ	τ	PROPN
ap-7675	181	16	for	for	ADP
ap-7675	181	17	the	the	DET
ap-7675	181	18	css	css	PROPN
ap-7675	181	19	,	,	PUNCT
ap-7675	181	20	we	we	PRON
ap-7675	181	21	proceed	proceed	VERB
ap-7675	181	22	as	as	SCONJ
ap-7675	181	23	follows	follow	VERB
ap-7675	181	24	[	[	X
ap-7675	181	25	85	85	NUM
ap-7675	181	26	]	]	PUNCT
ap-7675	181	27	.	.	PUNCT
ap-7675	182	1	first	first	ADV
ap-7675	182	2	,	,	PUNCT
ap-7675	182	3	we	we	PRON
ap-7675	182	4	calculate	calculate	VERB
ap-7675	182	5	the	the	DET
ap-7675	182	6	mean	mean	ADJ
ap-7675	182	7	energy	energy	NOUN
ap-7675	182	8	⟨h⟩α	⟨h⟩α	NOUN
ap-7675	182	9	for	for	ADP
ap-7675	182	10	the	the	DET
ap-7675	182	11	css	css	PROPN
ap-7675	182	12	ψ̄α(r	ψ̄α(r	PROPN
ap-7675	182	13	)	)	PUNCT
ap-7675	182	14	.	.	PUNCT
ap-7675	183	1	then	then	ADV
ap-7675	183	2	,	,	PUNCT
ap-7675	183	3	setting	set	VERB
ap-7675	183	4	the	the	DET
ap-7675	183	5	eigenvalue	eigenvalue	PROPN
ap-7675	183	6	z	z	PROPN
ap-7675	183	7	,	,	PUNCT
ap-7675	183	8	we	we	PRON
ap-7675	183	9	compute	compute	VERB
ap-7675	183	10	the	the	DET
ap-7675	183	11	energy	energy	NOUN
ap-7675	183	12	interval	interval	NOUN
ap-7675	183	13	in	in	ADP
ap-7675	183	14	which	which	PRON
ap-7675	183	15	⟨h⟩α	⟨h⟩α	VERB
ap-7675	183	16	lies	lie	NOUN
ap-7675	183	17	,	,	PUNCT
ap-7675	183	18	namely	namely	ADV
ap-7675	183	19	,	,	PUNCT
ap-7675	183	20	ej	ej	PROPN
ap-7675	183	21	,	,	PUNCT
ap-7675	183	22	ky	ky	PROPN
ap-7675	183	23	<	<	X
ap-7675	183	24	⟨h⟩α	⟨h⟩α	PRON
ap-7675	183	25	<	<	X
ap-7675	183	26	ej+1,ky	ej+1,ky	PROPN
ap-7675	183	27	.	.	PUNCT
ap-7675	184	1	thus	thus	ADV
ap-7675	184	2	,	,	PUNCT
ap-7675	184	3	the	the	DET
ap-7675	184	4	approximate	approximate	ADJ
ap-7675	184	5	period	period	NOUN
ap-7675	184	6	is	be	AUX
ap-7675	184	7	determined	determine	VERB
ap-7675	184	8	as	as	ADP
ap-7675	184	9	:	:	PUNCT
ap-7675	184	10	τ	τ	X
ap-7675	184	11	=	=	PUNCT
ap-7675	184	12	2π	2π	PROPN
ap-7675	184	13	∆e	∆e	X
ap-7675	184	14	=	=	PUNCT
ap-7675	184	15	2π	2π	NOUN
ap-7675	184	16	ej+1,ky	ej+1,ky	VERB
ap-7675	184	17	−	−	PROPN
ap-7675	185	1	ej	ej	PROPN
ap-7675	185	2	,	,	PUNCT
ap-7675	185	3	ky	ky	PROPN
ap-7675	185	4	,	,	PUNCT
ap-7675	185	5	(	(	PUNCT
ap-7675	185	6	40	40	NUM
ap-7675	185	7	)	)	PUNCT
ap-7675	185	8	that	that	PRON
ap-7675	185	9	will	will	AUX
ap-7675	185	10	be	be	AUX
ap-7675	185	11	different	different	ADJ
ap-7675	185	12	for	for	ADP
ap-7675	185	13	each	each	DET
ap-7675	185	14	valley	valley	NOUN
ap-7675	185	15	since	since	SCONJ
ap-7675	185	16	the	the	DET
ap-7675	185	17	energy	energy	NOUN
ap-7675	185	18	spectrum	spectrum	NOUN
ap-7675	185	19	depends	depend	VERB
ap-7675	185	20	on	on	ADP
ap-7675	185	21	the	the	DET
ap-7675	185	22	tilting	tilting	NOUN
ap-7675	185	23	parameter	parameter	NOUN
ap-7675	185	24	ν	ν	PROPN
ap-7675	185	25	.	.	PROPN
ap-7675	185	26	for	for	ADP
ap-7675	185	27	instance	instance	NOUN
ap-7675	185	28	,	,	PUNCT
ap-7675	185	29	for	for	ADP
ap-7675	185	30	the	the	DET
ap-7675	185	31	css	css	PROPN
ap-7675	185	32	with	with	ADP
ap-7675	185	33	α	α	NOUN
ap-7675	185	34	=	=	SYM
ap-7675	185	35	4i	4i	NOUN
ap-7675	185	36	and	and	CCONJ
ap-7675	186	1	the	the	DET
ap-7675	186	2	same	same	ADJ
ap-7675	186	3	values	value	NOUN
ap-7675	186	4	used	use	VERB
ap-7675	186	5	in	in	ADP
ap-7675	186	6	figures	figure	NOUN
ap-7675	186	7	3	3	NUM
ap-7675	186	8	,	,	PUNCT
ap-7675	186	9	4	4	NUM
ap-7675	186	10	and	and	CCONJ
ap-7675	186	11	5	5	NUM
ap-7675	186	12	,	,	PUNCT
ap-7675	186	13	we	we	PRON
ap-7675	186	14	have	have	VERB
ap-7675	186	15	e15	e15	PROPN
ap-7675	186	16	<	<	X
ap-7675	186	17	⟨h⟩α	⟨h⟩α	PRON
ap-7675	186	18	<	<	X
ap-7675	186	19	e16	e16	X
ap-7675	186	20	.	.	PUNCT
ap-7675	186	21	note	note	NOUN
ap-7675	186	22	that	that	SCONJ
ap-7675	186	23	⟨h⟩α	⟨h⟩α	NOUN
ap-7675	186	24	is	be	AUX
ap-7675	186	25	bounded	bound	VERB
ap-7675	186	26	by	by	ADP
ap-7675	186	27	the	the	DET
ap-7675	186	28	landau	landau	NOUN
ap-7675	186	29	level	level	VERB
ap-7675	186	30	with	with	ADP
ap-7675	186	31	n	n	NOUN
ap-7675	186	32	=	=	NOUN
ap-7675	186	33	|α|2	|α|2	NOUN
ap-7675	186	34	=	=	SYM
ap-7675	186	35	16	16	NUM
ap-7675	186	36	.	.	PUNCT
ap-7675	187	1	thus	thus	ADV
ap-7675	187	2	,	,	PUNCT
ap-7675	187	3	the	the	DET
ap-7675	187	4	respective	respective	ADJ
ap-7675	187	5	periods	period	NOUN
ap-7675	187	6	are	be	AUX
ap-7675	187	7	reported	report	VERB
ap-7675	187	8	in	in	ADP
ap-7675	187	9	table	table	NOUN
ap-7675	187	10	3	3	NUM
ap-7675	187	11	.	.	PUNCT
ap-7675	188	1	the	the	DET
ap-7675	188	2	period	period	NOUN
ap-7675	188	3	τ	τ	X
ap-7675	188	4	in	in	ADP
ap-7675	188	5	eq	eq	ADP
ap-7675	188	6	.	.	PUNCT
ap-7675	189	1	(	(	PUNCT
ap-7675	189	2	40	40	NUM
ap-7675	189	3	)	)	PUNCT
ap-7675	189	4	increases	increase	NOUN
ap-7675	189	5	as	as	ADP
ap-7675	189	6	∆e	∆e	PROPN
ap-7675	189	7	→	→	SYM
ap-7675	189	8	0	0	NUM
ap-7675	189	9	close	close	ADJ
ap-7675	189	10	to	to	ADP
ap-7675	189	11	the	the	DET
ap-7675	189	12	electric	electric	ADJ
ap-7675	189	13	field	field	NOUN
ap-7675	189	14	critical	critical	ADJ
ap-7675	189	15	value	value	NOUN
ap-7675	189	16	ec	ec	PROPN
ap-7675	189	17	,	,	PUNCT
ap-7675	189	18	since	since	SCONJ
ap-7675	189	19	a	a	DET
ap-7675	189	20	dirac	dirac	NOUN
ap-7675	189	21	fermion	fermion	NOUN
ap-7675	189	22	takes	take	VERB
ap-7675	189	23	a	a	DET
ap-7675	189	24	longer	long	ADJ
ap-7675	189	25	time	time	NOUN
ap-7675	189	26	to	to	PART
ap-7675	189	27	complete	complete	VERB
ap-7675	189	28	a	a	DET
ap-7675	189	29	loop	loop	NOUN
ap-7675	189	30	an	an	DET
ap-7675	189	31	opened	open	VERB
ap-7675	189	32	orbit	orbit	NOUN
ap-7675	189	33	(	(	PUNCT
ap-7675	189	34	see	see	VERB
ap-7675	189	35	red	red	ADJ
ap-7675	189	36	and	and	CCONJ
ap-7675	189	37	blue	blue	ADJ
ap-7675	189	38	curves	curve	NOUN
ap-7675	189	39	in	in	ADP
ap-7675	189	40	figure	figure	NOUN
ap-7675	189	41	6	6	NUM
ap-7675	189	42	)	)	PUNCT
ap-7675	189	43	.	.	PUNCT
ap-7675	190	1	in	in	ADP
ap-7675	190	2	contrast	contrast	NOUN
ap-7675	190	3	,	,	PUNCT
ap-7675	190	4	the	the	DET
ap-7675	190	5	orbits	orbit	NOUN
ap-7675	190	6	are	be	AUX
ap-7675	190	7	closed	close	VERB
ap-7675	190	8	for	for	ADP
ap-7675	190	9	more	more	ADV
ap-7675	190	10	separated	separated	ADJ
ap-7675	190	11	energy	energy	NOUN
ap-7675	190	12	levels	level	NOUN
ap-7675	190	13	resulting	result	VERB
ap-7675	190	14	in	in	ADP
ap-7675	190	15	a	a	DET
ap-7675	190	16	shorter	short	ADJ
ap-7675	190	17	period	period	NOUN
ap-7675	190	18	τ	τ	X
ap-7675	190	19	(	(	PUNCT
ap-7675	190	20	see	see	VERB
ap-7675	190	21	green	green	ADJ
ap-7675	190	22	curve	curve	NOUN
ap-7675	190	23	in	in	ADP
ap-7675	190	24	figure	figure	NOUN
ap-7675	190	25	6	6	NUM
ap-7675	190	26	)	)	PUNCT
ap-7675	190	27	.	.	PUNCT
ap-7675	191	1	43	43	NUM
ap-7675	191	2	erik	erik	PROPN
ap-7675	191	3	díaz	díaz	PROPN
ap-7675	191	4	-	-	PUNCT
ap-7675	191	5	bautista	bautista	PROPN
ap-7675	191	6	acta	acta	PROPN
ap-7675	191	7	polytechnica	polytechnica	PROPN
ap-7675	191	8	(	(	PUNCT
ap-7675	191	9	a	a	NOUN
ap-7675	191	10	)	)	PUNCT
ap-7675	191	11	t	t	NOUN
ap-7675	191	12	=	=	SYM
ap-7675	191	13	0	0	NUM
ap-7675	191	14	,	,	PUNCT
ap-7675	191	15	ν	ν	X
ap-7675	191	16	=	=	SYM
ap-7675	191	17	1	1	NUM
ap-7675	191	18	(	(	PUNCT
ap-7675	191	19	b	b	NOUN
ap-7675	191	20	)	)	PUNCT
ap-7675	191	21	t	t	NOUN
ap-7675	191	22	=	=	SYM
ap-7675	191	23	0	0	NUM
ap-7675	191	24	,	,	PUNCT
ap-7675	191	25	ν	ν	X
ap-7675	191	26	=	=	SYM
ap-7675	191	27	−1	−1	NOUN
ap-7675	191	28	­15	­15	PROPN
ap-7675	191	29	­10	­10	PUNCT
ap-7675	191	30	­5	­5	NOUN
ap-7675	191	31	0	0	NUM
ap-7675	191	32	5	5	NUM
ap-7675	191	33	10	10	NUM
ap-7675	191	34	15	15	NUM
ap-7675	191	35	x	x	NOUN
ap-7675	191	36	 	 	SPACE
ap-7675	192	1	[	[	X
ap-7675	192	2	lb	lb	X
ap-7675	192	3	]	]	X
ap-7675	192	4	­15	­15	PROPN
ap-7675	192	5	­10	­10	PROPN
ap-7675	192	6	­5	­5	NOUN
ap-7675	192	7	0	0	NUM
ap-7675	192	8	5	5	NUM
ap-7675	192	9	10	10	NUM
ap-7675	192	10	15	15	NUM
ap-7675	192	11	p	p	NOUN
ap-7675	192	12	x	x	X
ap-7675	192	13	 	 	SPACE
ap-7675	192	14	[	[	PUNCT
ap-7675	192	15	/l	/l	NOUN
ap-7675	192	16	b	b	X
ap-7675	192	17	]	]	PUNCT
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ap-7675	192	19	0.036	0.036	NUM
ap-7675	192	20	0.072	0.072	NUM
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ap-7675	192	22	0.144	0.144	NUM
ap-7675	192	23	0.180	0.180	NUM
ap-7675	192	24	0.216	0.216	NUM
ap-7675	192	25	0.252	0.252	NUM
ap-7675	192	26	0.288	0.288	NUM
ap-7675	192	27	­15	­15	PROPN
ap-7675	192	28	­10	­10	PROPN
ap-7675	192	29	­5	­5	NOUN
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ap-7675	192	31	5	5	NUM
ap-7675	192	32	10	10	NUM
ap-7675	192	33	15	15	NUM
ap-7675	192	34	x	x	NOUN
ap-7675	192	35	 	 	SPACE
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ap-7675	193	2	lb	lb	X
ap-7675	193	3	]	]	X
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ap-7675	193	8	5	5	NUM
ap-7675	193	9	10	10	NUM
ap-7675	193	10	15	15	NUM
ap-7675	193	11	p	p	NOUN
ap-7675	193	12	x	x	X
ap-7675	193	13	 	 	SPACE
ap-7675	193	14	[	[	PUNCT
ap-7675	193	15	/l	/l	NOUN
ap-7675	193	16	b	b	X
ap-7675	193	17	]	]	PUNCT
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ap-7675	193	19	0.036	0.036	NUM
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ap-7675	193	25	0.252	0.252	NUM
ap-7675	193	26	0.288	0.288	NUM
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ap-7675	193	28	c	c	NOUN
ap-7675	193	29	)	)	PUNCT
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ap-7675	193	35	=	=	SYM
ap-7675	193	36	1	1	NUM
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ap-7675	193	38	d	d	NOUN
ap-7675	193	39	)	)	PUNCT
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ap-7675	193	43	,	,	PUNCT
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ap-7675	193	45	=	=	SYM
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ap-7675	193	53	15	15	NUM
ap-7675	193	54	x	x	NOUN
ap-7675	193	55	 	 	SPACE
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ap-7675	194	2	lb	lb	X
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ap-7675	194	8	5	5	NUM
ap-7675	194	9	10	10	NUM
ap-7675	194	10	15	15	NUM
ap-7675	194	11	p	p	NOUN
ap-7675	194	12	x	x	X
ap-7675	194	13	 	 	SPACE
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ap-7675	194	23	0.180	0.180	NUM
ap-7675	194	24	0.216	0.216	NUM
ap-7675	194	25	0.252	0.252	NUM
ap-7675	194	26	0.288	0.288	NUM
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ap-7675	194	35	 	 	SPACE
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ap-7675	195	2	lb	lb	X
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ap-7675	209	8	5	5	NUM
ap-7675	209	9	10	10	NUM
ap-7675	209	10	15	15	NUM
ap-7675	209	11	p	p	NOUN
ap-7675	209	12	x	x	X
ap-7675	209	13	 	 	SPACE
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ap-7675	209	15	/l	/l	NOUN
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ap-7675	209	17	]	]	PUNCT
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ap-7675	209	20	0.000	0.000	NUM
ap-7675	209	21	0.036	0.036	NUM
ap-7675	209	22	0.072	0.072	NUM
ap-7675	209	23	0.108	0.108	NUM
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ap-7675	209	25	0.180	0.180	NUM
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ap-7675	209	29	)	)	PUNCT
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ap-7675	209	35	=	=	SYM
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ap-7675	209	38	f	f	X
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ap-7675	209	41	=	=	SYM
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ap-7675	209	43	,	,	PUNCT
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ap-7675	209	45	=	=	SYM
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ap-7675	209	47	­15	­15	PROPN
ap-7675	209	48	­10	­10	PUNCT
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ap-7675	209	51	5	5	NUM
ap-7675	209	52	10	10	NUM
ap-7675	209	53	15	15	NUM
ap-7675	209	54	x	x	NOUN
ap-7675	209	55	 	 	SPACE
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ap-7675	210	2	lb	lb	X
ap-7675	210	3	]	]	X
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ap-7675	210	7	0	0	NUM
ap-7675	210	8	5	5	NUM
ap-7675	210	9	10	10	NUM
ap-7675	210	10	15	15	NUM
ap-7675	210	11	p	p	NOUN
ap-7675	210	12	x	x	X
ap-7675	210	13	 	 	SPACE
ap-7675	210	14	[	[	PUNCT
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ap-7675	210	17	]	]	PUNCT
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ap-7675	210	19	0.054	0.054	NUM
ap-7675	210	20	0.027	0.027	NUM
ap-7675	210	21	0.000	0.000	NUM
ap-7675	210	22	0.027	0.027	NUM
ap-7675	210	23	0.054	0.054	NUM
ap-7675	210	24	0.081	0.081	NUM
ap-7675	210	25	0.108	0.108	NUM
ap-7675	210	26	0.135	0.135	NUM
ap-7675	210	27	0.162	0.162	NUM
ap-7675	210	28	­15	­15	PROPN
ap-7675	210	29	­10	­10	PROPN
ap-7675	210	30	­5	­5	NOUN
ap-7675	210	31	0	0	NUM
ap-7675	210	32	5	5	NUM
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ap-7675	210	34	15	15	NUM
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ap-7675	210	36	 	 	SPACE
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ap-7675	211	2	lb	lb	X
ap-7675	211	3	]	]	X
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ap-7675	211	8	5	5	NUM
ap-7675	211	9	10	10	NUM
ap-7675	211	10	15	15	NUM
ap-7675	211	11	p	p	NOUN
ap-7675	211	12	x	x	X
ap-7675	211	13	 	 	SPACE
ap-7675	211	14	[	[	PUNCT
ap-7675	211	15	/l	/l	NOUN
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ap-7675	211	17	]	]	PUNCT
ap-7675	211	18	0.072	0.072	NUM
ap-7675	211	19	0.036	0.036	NUM
ap-7675	211	20	0.000	0.000	NUM
ap-7675	211	21	0.036	0.036	NUM
ap-7675	211	22	0.072	0.072	NUM
ap-7675	211	23	0.108	0.108	NUM
ap-7675	211	24	0.144	0.144	NUM
ap-7675	211	25	0.180	0.180	NUM
ap-7675	211	26	0.216	0.216	NUM
ap-7675	211	27	0.252	0.252	NUM
ap-7675	211	28	(	(	PUNCT
ap-7675	211	29	g	g	NOUN
ap-7675	211	30	)	)	PUNCT
ap-7675	211	31	t	t	NOUN
ap-7675	212	1	=	=	SYM
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ap-7675	212	3	,	,	PUNCT
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ap-7675	212	5	=	=	SYM
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ap-7675	212	8	h	h	NOUN
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ap-7675	213	1	=	=	SYM
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ap-7675	213	3	,	,	PUNCT
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ap-7675	213	5	=	=	SYM
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ap-7675	213	7	­15	­15	PROPN
ap-7675	213	8	­10	­10	PUNCT
ap-7675	213	9	­5	­5	NOUN
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ap-7675	213	11	5	5	NUM
ap-7675	213	12	10	10	NUM
ap-7675	213	13	15	15	NUM
ap-7675	213	14	x	x	NOUN
ap-7675	213	15	 	 	SPACE
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ap-7675	214	2	lb	lb	X
ap-7675	214	3	]	]	X
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ap-7675	214	5	­10	­10	PROPN
ap-7675	214	6	­5	­5	NOUN
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ap-7675	214	8	5	5	NUM
ap-7675	214	9	10	10	NUM
ap-7675	214	10	15	15	NUM
ap-7675	214	11	p	p	NOUN
ap-7675	214	12	x	x	X
ap-7675	214	13	 	 	SPACE
ap-7675	214	14	[	[	PUNCT
ap-7675	214	15	/l	/l	NOUN
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ap-7675	214	17	]	]	PUNCT
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ap-7675	214	19	0.050	0.050	NUM
ap-7675	214	20	0.025	0.025	NUM
ap-7675	214	21	0.000	0.000	NUM
ap-7675	214	22	0.025	0.025	NUM
ap-7675	214	23	0.050	0.050	NUM
ap-7675	214	24	0.075	0.075	NUM
ap-7675	214	25	0.100	0.100	NUM
ap-7675	214	26	0.125	0.125	NUM
ap-7675	214	27	­15	­15	PROPN
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ap-7675	214	31	5	5	NUM
ap-7675	214	32	10	10	NUM
ap-7675	214	33	15	15	NUM
ap-7675	214	34	x	x	NOUN
ap-7675	214	35	 	 	SPACE
ap-7675	215	1	[	[	X
ap-7675	215	2	lb	lb	X
ap-7675	215	3	]	]	X
ap-7675	215	4	­15	­15	PROPN
ap-7675	215	5	­10	­10	PROPN
ap-7675	215	6	­5	­5	NOUN
ap-7675	215	7	0	0	NUM
ap-7675	215	8	5	5	NUM
ap-7675	215	9	10	10	NUM
ap-7675	215	10	15	15	NUM
ap-7675	215	11	p	p	NOUN
ap-7675	215	12	x	x	X
ap-7675	215	13	 	 	SPACE
ap-7675	215	14	[	[	PUNCT
ap-7675	215	15	/l	/l	NOUN
ap-7675	215	16	b	b	X
ap-7675	215	17	]	]	PUNCT
ap-7675	215	18	0.075	0.075	NUM
ap-7675	215	19	0.050	0.050	NUM
ap-7675	215	20	0.025	0.025	NUM
ap-7675	215	21	0.000	0.000	NUM
ap-7675	215	22	0.025	0.025	NUM
ap-7675	215	23	0.050	0.050	NUM
ap-7675	215	24	0.075	0.075	NUM
ap-7675	215	25	0.100	0.100	NUM
ap-7675	215	26	0.125	0.125	NUM
ap-7675	215	27	0.150	0.150	NUM
ap-7675	215	28	figure	figure	NOUN
ap-7675	215	29	5	5	NUM
ap-7675	215	30	.	.	NOUN
ap-7675	215	31	time	time	NOUN
ap-7675	215	32	evolution	evolution	NOUN
ap-7675	215	33	of	of	ADP
ap-7675	215	34	the	the	DET
ap-7675	215	35	trace	trace	NOUN
ap-7675	215	36	of	of	ADP
ap-7675	215	37	the	the	DET
ap-7675	215	38	wigner	wigner	ADJ
ap-7675	215	39	matrix	matrix	NOUN
ap-7675	215	40	wα(r	wα(r	NOUN
ap-7675	215	41	,	,	PUNCT
ap-7675	215	42	p	p	NOUN
ap-7675	215	43	)	)	PUNCT
ap-7675	215	44	in	in	ADP
ap-7675	215	45	eq	eq	ADP
ap-7675	215	46	.	.	PUNCT
ap-7675	216	1	(	(	PUNCT
ap-7675	216	2	37	37	NUM
ap-7675	216	3	)	)	PUNCT
ap-7675	216	4	for	for	ADP
ap-7675	216	5	different	different	ADJ
ap-7675	216	6	values	value	NOUN
ap-7675	216	7	of	of	ADP
ap-7675	216	8	t	t	PROPN
ap-7675	216	9	in	in	ADP
ap-7675	216	10	each	each	DET
ap-7675	216	11	dirac	dirac	NOUN
ap-7675	216	12	point	point	NOUN
ap-7675	216	13	(	(	PUNCT
ap-7675	216	14	ν	ν	X
ap-7675	216	15	=	=	SYM
ap-7675	216	16	±1	±1	NOUN
ap-7675	216	17	)	)	PUNCT
ap-7675	216	18	of	of	ADP
ap-7675	216	19	2bh	2bh	PROPN
ap-7675	216	20	−	−	PROPN
ap-7675	216	21	pmmn	pmmn	NOUN
ap-7675	216	22	borophene	borophene	NOUN
ap-7675	216	23	.	.	PUNCT
ap-7675	217	1	b	b	X
ap-7675	217	2	=	=	SYM
ap-7675	217	3	1	1	NUM
ap-7675	217	4	,	,	PUNCT
ap-7675	217	5	ky	ky	PROPN
ap-7675	217	6	=	=	SYM
ap-7675	217	7	0	0	PROPN
ap-7675	217	8	,	,	PUNCT
ap-7675	217	9	α	α	NOUN
ap-7675	217	10	=	=	SYM
ap-7675	217	11	4i	4i	NOUN
ap-7675	217	12	,	,	PUNCT
ap-7675	217	13	{	{	PUNCT
ap-7675	217	14	vx	vx	PROPN
ap-7675	217	15	,	,	PUNCT
ap-7675	217	16	vy	vy	PROPN
ap-7675	217	17	,	,	PUNCT
ap-7675	217	18	vt	vt	NOUN
ap-7675	217	19	}	}	PUNCT
ap-7675	217	20	=	=	PUNCT
ap-7675	217	21	{	{	PUNCT
ap-7675	217	22	0.77	0.77	NUM
ap-7675	217	23	,	,	PUNCT
ap-7675	217	24	1.348,−0.380	1.348,−0.380	NUM
ap-7675	217	25	}	}	PUNCT
ap-7675	217	26	,	,	PUNCT
ap-7675	217	27	e	e	X
ap-7675	217	28	=	=	NOUN
ap-7675	217	29	0.25	0.25	NUM
ap-7675	217	30	,	,	PUNCT
ap-7675	217	31	and	and	CCONJ
ap-7675	217	32	λ	λ	X
ap-7675	217	33	=	=	NOUN
ap-7675	218	1	1	1	X
ap-7675	218	2	.	.	PUNCT
ap-7675	219	1	in	in	ADP
ap-7675	219	2	the	the	DET
ap-7675	219	3	figure	figure	NOUN
ap-7675	219	4	labels	label	NOUN
ap-7675	219	5	,	,	PUNCT
ap-7675	219	6	lb	lb	NOUN
ap-7675	219	7	=	=	SYM
ap-7675	219	8	1/	1/	PROPN
ap-7675	219	9	√	√	PROPN
ap-7675	219	10	b.	b.	PROPN
ap-7675	219	11	45	45	NUM
ap-7675	219	12	erik	erik	PROPN
ap-7675	219	13	díaz	díaz	PROPN
ap-7675	219	14	-	-	PUNCT
ap-7675	219	15	bautista	bautista	PROPN
ap-7675	219	16	acta	acta	PROPN
ap-7675	219	17	polytechnica	polytechnica	PROPN
ap-7675	219	18	figure	figure	NOUN
ap-7675	219	19	6	6	NUM
ap-7675	219	20	.	.	PUNCT
ap-7675	220	1	a	a	DET
ap-7675	220	2	generic	generic	ADJ
ap-7675	220	3	honeycomb	honeycomb	NOUN
ap-7675	220	4	lattice	lattice	NOUN
ap-7675	220	5	interacts	interact	VERB
ap-7675	220	6	with	with	ADP
ap-7675	220	7	crossed	cross	VERB
ap-7675	220	8	electric	electric	ADJ
ap-7675	220	9	and	and	CCONJ
ap-7675	220	10	magnetic	magnetic	ADJ
ap-7675	220	11	fields	field	NOUN
ap-7675	220	12	directed	direct	VERB
ap-7675	220	13	along	along	ADP
ap-7675	220	14	the	the	DET
ap-7675	220	15	xand	xand	NOUN
ap-7675	220	16	z	z	NOUN
ap-7675	220	17	-	-	PUNCT
ap-7675	220	18	directions	direction	NOUN
ap-7675	220	19	,	,	PUNCT
ap-7675	220	20	respectively	respectively	ADV
ap-7675	220	21	.	.	PUNCT
ap-7675	221	1	in	in	ADP
ap-7675	221	2	absence	absence	NOUN
ap-7675	221	3	of	of	ADP
ap-7675	221	4	electric	electric	ADJ
ap-7675	221	5	field	field	NOUN
ap-7675	221	6	e	e	NOUN
ap-7675	221	7	,	,	PUNCT
ap-7675	221	8	a	a	DET
ap-7675	221	9	non	non	ADJ
ap-7675	221	10	-	-	ADJ
ap-7675	221	11	relativistic	relativistic	ADJ
ap-7675	221	12	classical	classical	ADJ
ap-7675	221	13	charged	charge	VERB
ap-7675	221	14	particle	particle	NOUN
ap-7675	221	15	performs	perform	VERB
ap-7675	221	16	a	a	DET
ap-7675	221	17	circular	circular	ADJ
ap-7675	221	18	trajectory	trajectory	NOUN
ap-7675	221	19	(	(	PUNCT
ap-7675	221	20	green	green	ADJ
ap-7675	221	21	curve	curve	NOUN
ap-7675	221	22	)	)	PUNCT
ap-7675	221	23	,	,	PUNCT
ap-7675	221	24	while	while	SCONJ
ap-7675	221	25	if	if	SCONJ
ap-7675	221	26	the	the	DET
ap-7675	221	27	strength	strength	NOUN
ap-7675	221	28	e	e	NOUN
ap-7675	221	29	increases	increase	NOUN
ap-7675	221	30	,	,	PUNCT
ap-7675	221	31	the	the	DET
ap-7675	221	32	trajectory	trajectory	NOUN
ap-7675	221	33	becomes	become	VERB
ap-7675	221	34	into	into	ADP
ap-7675	221	35	a	a	DET
ap-7675	221	36	trochoid	trochoid	NOUN
ap-7675	221	37	(	(	PUNCT
ap-7675	221	38	red	red	ADJ
ap-7675	221	39	and	and	CCONJ
ap-7675	221	40	blue	blue	ADJ
ap-7675	221	41	curves	curve	NOUN
ap-7675	221	42	)	)	PUNCT
ap-7675	221	43	.	.	PUNCT
ap-7675	222	1	the	the	DET
ap-7675	222	2	drift	drift	NOUN
ap-7675	222	3	velocity	velocity	NOUN
ap-7675	222	4	vd	vd	NOUN
ap-7675	222	5	=	=	PUNCT
ap-7675	222	6	e	e	X
ap-7675	222	7	×	×	PROPN
ap-7675	222	8	b	b	PROPN
ap-7675	222	9	/	/	SYM
ap-7675	222	10	b2	b2	NOUN
ap-7675	222	11	is	be	AUX
ap-7675	222	12	directed	direct	VERB
ap-7675	222	13	along	along	ADP
ap-7675	222	14	the	the	DET
ap-7675	222	15	y	y	NOUN
ap-7675	222	16	-	-	PUNCT
ap-7675	222	17	direction	direction	NOUN
ap-7675	222	18	.	.	PUNCT
ap-7675	223	1	borophene	borophene	NOUN
ap-7675	223	2	monolayer	monolayer	PROPN
ap-7675	223	3	τ+	τ+	PUNCT
ap-7675	223	4	(	(	PUNCT
ap-7675	223	5	k	k	NOUN
ap-7675	223	6	)	)	PUNCT
ap-7675	223	7	τ−	τ−	PROPN
ap-7675	223	8	(	(	PUNCT
ap-7675	223	9	k	k	NOUN
ap-7675	223	10	’	'	PUNCT
ap-7675	223	11	)	)	PUNCT
ap-7675	223	12	8	8	NUM
ap-7675	223	13	−	−	PROPN
ap-7675	223	14	pmmn	pmmn	NOUN
ap-7675	223	15	34.165π	34.165π	NUM
ap-7675	223	16	14.566π	14.566π	NUM
ap-7675	223	17	8b	8b	NUM
ap-7675	223	18	−	−	PROPN
ap-7675	223	19	pmmn	pmmn	NOUN
ap-7675	223	20	17.388π	17.388π	NUM
ap-7675	223	21	32.642π	32.642π	NUM
ap-7675	223	22	2bh	2bh	NOUN
ap-7675	223	23	−	−	PROPN
ap-7675	223	24	pmmn	pmmn	NOUN
ap-7675	223	25	11.012π	11.012π	NUM
ap-7675	223	26	13.200π	13.200π	NUM
ap-7675	223	27	table	table	NOUN
ap-7675	223	28	3	3	NUM
ap-7675	223	29	.	.	PUNCT
ap-7675	223	30	valley	valley	NOUN
ap-7675	223	31	-	-	PUNCT
ap-7675	223	32	dependent	dependent	ADJ
ap-7675	223	33	period	period	NOUN
ap-7675	223	34	τ	τ	X
ap-7675	223	35	for	for	ADP
ap-7675	223	36	the	the	DET
ap-7675	223	37	css	css	PROPN
ap-7675	223	38	with	with	ADP
ap-7675	223	39	eigenvalue	eigenvalue	PROPN
ap-7675	223	40	α	α	NOUN
ap-7675	223	41	=	=	SYM
ap-7675	223	42	4i	4i	NOUN
ap-7675	223	43	=	=	PUNCT
ap-7675	223	44	z/	z/	NOUN
ap-7675	223	45	√	√	NOUN
ap-7675	223	46	2	2	NUM
ap-7675	223	47	in	in	ADP
ap-7675	223	48	three	three	NUM
ap-7675	223	49	boron	boron	NOUN
ap-7675	223	50	allotropes	allotrope	NOUN
ap-7675	223	51	.	.	PUNCT
ap-7675	224	1	the	the	DET
ap-7675	224	2	data	datum	NOUN
ap-7675	224	3	for	for	ADP
ap-7675	224	4	8	8	NUM
ap-7675	224	5	−	−	NOUN
ap-7675	224	6	pmmn	pmmn	NOUN
ap-7675	224	7	borophene	borophene	NOUN
ap-7675	224	8	were	be	AUX
ap-7675	224	9	obtained	obtain	VERB
ap-7675	224	10	from	from	ADP
ap-7675	224	11	[	[	X
ap-7675	224	12	35	35	NUM
ap-7675	224	13	]	]	SYM
ap-7675	224	14	.	.	PUNCT
ap-7675	225	1	3.6	3.6	NUM
ap-7675	225	2	.	.	PUNCT
ap-7675	226	1	discussion	discussion	NOUN
ap-7675	226	2	anisotropic	anisotropic	NOUN
ap-7675	226	3	and	and	CCONJ
ap-7675	226	4	tilted	tilted	ADJ
ap-7675	226	5	dirac	dirac	NOUN
ap-7675	226	6	cone	cone	NOUN
ap-7675	226	7	materials	material	NOUN
ap-7675	226	8	,	,	PUNCT
ap-7675	226	9	such	such	ADJ
ap-7675	226	10	as	as	ADP
ap-7675	226	11	8b	8b	NUM
ap-7675	226	12	and	and	CCONJ
ap-7675	226	13	2bh	2bh	ADJ
ap-7675	226	14	−	−	PROPN
ap-7675	226	15	pmmn	pmmn	NOUN
ap-7675	226	16	borophene	borophene	NOUN
ap-7675	226	17	,	,	PUNCT
ap-7675	226	18	possess	possess	VERB
ap-7675	226	19	valleydependent	valleydependent	NOUN
ap-7675	226	20	electronic	electronic	ADJ
ap-7675	226	21	properties	property	NOUN
ap-7675	226	22	under	under	ADP
ap-7675	226	23	the	the	DET
ap-7675	226	24	interaction	interaction	NOUN
ap-7675	226	25	with	with	ADP
ap-7675	226	26	crossed	cross	VERB
ap-7675	226	27	electric	electric	ADJ
ap-7675	226	28	and	and	CCONJ
ap-7675	226	29	magnetic	magnetic	ADJ
ap-7675	226	30	fields	field	NOUN
ap-7675	226	31	.	.	PUNCT
ap-7675	227	1	the	the	DET
ap-7675	227	2	effective	effective	ADJ
ap-7675	227	3	hamiltonian	hamiltonian	NOUN
ap-7675	227	4	depends	depend	VERB
ap-7675	227	5	on	on	ADP
ap-7675	227	6	two	two	NUM
ap-7675	227	7	anisotropic	anisotropic	NOUN
ap-7675	227	8	velocities	velocity	NOUN
ap-7675	227	9	and	and	CCONJ
ap-7675	227	10	one	one	NUM
ap-7675	227	11	tilt	tilt	NOUN
ap-7675	227	12	velocity	velocity	NOUN
ap-7675	227	13	(	(	PUNCT
ap-7675	227	14	see	see	VERB
ap-7675	227	15	eq	eq	ADP
ap-7675	227	16	.	.	PUNCT
ap-7675	228	1	(	(	PUNCT
ap-7675	228	2	2	2	NUM
ap-7675	228	3	)	)	PUNCT
ap-7675	228	4	)	)	PUNCT
ap-7675	228	5	.	.	PUNCT
ap-7675	229	1	in	in	ADP
ap-7675	229	2	the	the	DET
ap-7675	229	3	case	case	NOUN
ap-7675	229	4	in	in	ADP
ap-7675	229	5	which	which	PRON
ap-7675	229	6	these	these	DET
ap-7675	229	7	materials	material	NOUN
ap-7675	229	8	interact	interact	VERB
ap-7675	229	9	with	with	ADP
ap-7675	229	10	external	external	ADJ
ap-7675	229	11	crossed	cross	VERB
ap-7675	229	12	electric	electric	ADJ
ap-7675	229	13	and	and	CCONJ
ap-7675	229	14	magnetic	magnetic	ADJ
ap-7675	229	15	fields	field	NOUN
ap-7675	229	16	(	(	PUNCT
ap-7675	229	17	see	see	VERB
ap-7675	229	18	eq	eq	NOUN
ap-7675	229	19	.	.	PUNCT
ap-7675	229	20	(	(	PUNCT
ap-7675	229	21	4	4	NUM
ap-7675	229	22	)	)	PUNCT
ap-7675	229	23	)	)	PUNCT
ap-7675	229	24	,	,	PUNCT
ap-7675	229	25	it	it	PRON
ap-7675	229	26	is	be	AUX
ap-7675	229	27	possible	possible	ADJ
ap-7675	229	28	to	to	PART
ap-7675	229	29	obtain	obtain	VERB
ap-7675	229	30	the	the	DET
ap-7675	229	31	solutions	solution	NOUN
ap-7675	229	32	to	to	ADP
ap-7675	229	33	the	the	DET
ap-7675	229	34	physical	physical	ADJ
ap-7675	229	35	problem	problem	NOUN
ap-7675	229	36	in	in	ADP
ap-7675	229	37	a	a	DET
ap-7675	229	38	simple	simple	ADJ
ap-7675	229	39	algebraic	algebraic	ADJ
ap-7675	229	40	way	way	NOUN
ap-7675	229	41	(	(	PUNCT
ap-7675	229	42	see	see	VERB
ap-7675	229	43	eq	eq	ADP
ap-7675	229	44	.	.	PUNCT
ap-7675	230	1	(	(	PUNCT
ap-7675	230	2	15	15	NUM
ap-7675	230	3	)	)	PUNCT
ap-7675	230	4	and	and	CCONJ
ap-7675	230	5	(	(	PUNCT
ap-7675	230	6	17	17	NUM
ap-7675	230	7	)	)	PUNCT
ap-7675	230	8	)	)	PUNCT
ap-7675	230	9	.	.	PUNCT
ap-7675	231	1	we	we	PRON
ap-7675	231	2	have	have	AUX
ap-7675	231	3	constructed	construct	VERB
ap-7675	231	4	the	the	DET
ap-7675	231	5	css	css	PROPN
ap-7675	231	6	ψ̄α(r	ψ̄α(r	PROPN
ap-7675	231	7	)	)	PUNCT
ap-7675	231	8	as	as	ADP
ap-7675	231	9	a	a	DET
ap-7675	231	10	linear	linear	ADJ
ap-7675	231	11	combination	combination	NOUN
ap-7675	231	12	of	of	ADP
ap-7675	231	13	the	the	DET
ap-7675	231	14	landau	landau	NOUN
ap-7675	231	15	eigenfunctions	eigenfunction	NOUN
ap-7675	231	16	ψ̄(r	ψ̄(r	NOUN
ap-7675	231	17	)	)	PUNCT
ap-7675	231	18	of	of	ADP
ap-7675	231	19	the	the	DET
ap-7675	231	20	hamiltonian	hamiltonian	NOUN
ap-7675	231	21	in	in	ADP
ap-7675	231	22	eq	eq	PROPN
ap-7675	231	23	.	.	PUNCT
ap-7675	232	1	(	(	PUNCT
ap-7675	232	2	4	4	NUM
ap-7675	232	3	)	)	PUNCT
ap-7675	232	4	,	,	PUNCT
ap-7675	232	5	that	that	PRON
ap-7675	232	6	also	also	ADV
ap-7675	232	7	be	be	VERB
ap-7675	232	8	eigenfunction	eigenfunction	NOUN
ap-7675	232	9	of	of	ADP
ap-7675	232	10	a	a	DET
ap-7675	232	11	matrix	matrix	NOUN
ap-7675	232	12	ladder	ladder	NOUN
ap-7675	232	13	operator	operator	NOUN
ap-7675	232	14	b−	b−	PROPN
ap-7675	232	15	with	with	ADP
ap-7675	232	16	a	a	DET
ap-7675	232	17	complex	complex	ADJ
ap-7675	232	18	eigenvalue	eigenvalue	PROPN
ap-7675	232	19	z.	z.	PROPN
ap-7675	232	20	as	as	SCONJ
ap-7675	232	21	the	the	DET
ap-7675	232	22	coherent	coherent	ADJ
ap-7675	232	23	electron	electron	NOUN
ap-7675	232	24	states	state	NOUN
ap-7675	232	25	evolve	evolve	VERB
ap-7675	232	26	in	in	ADP
ap-7675	232	27	time	time	NOUN
ap-7675	232	28	,	,	PUNCT
ap-7675	232	29	their	their	PRON
ap-7675	232	30	probability	probability	NOUN
ap-7675	232	31	density	density	NOUN
ap-7675	232	32	clearly	clearly	ADV
ap-7675	232	33	shows	show	VERB
ap-7675	232	34	maximum	maximum	ADJ
ap-7675	232	35	values	value	NOUN
ap-7675	232	36	only	only	ADV
ap-7675	232	37	around	around	ADP
ap-7675	232	38	the	the	DET
ap-7675	232	39	turning	turning	NOUN
ap-7675	232	40	points	point	NOUN
ap-7675	232	41	in	in	ADP
ap-7675	232	42	the	the	DET
ap-7675	232	43	x	x	NOUN
ap-7675	232	44	-	-	NOUN
ap-7675	232	45	axis	axis	ADJ
ap-7675	232	46	,	,	PUNCT
ap-7675	232	47	in	in	ADP
ap-7675	232	48	which	which	PRON
ap-7675	232	49	momentarily	momentarily	ADV
ap-7675	232	50	the	the	DET
ap-7675	232	51	velocity	velocity	NOUN
ap-7675	232	52	of	of	ADP
ap-7675	232	53	charge	charge	NOUN
ap-7675	232	54	carriers	carrier	NOUN
ap-7675	232	55	reduces	reduce	VERB
ap-7675	232	56	.	.	PUNCT
ap-7675	233	1	in	in	ADP
ap-7675	233	2	turn	turn	NOUN
ap-7675	233	3	,	,	PUNCT
ap-7675	233	4	the	the	DET
ap-7675	233	5	emergence	emergence	NOUN
ap-7675	233	6	of	of	ADP
ap-7675	233	7	negative	negative	ADJ
ap-7675	233	8	values	value	NOUN
ap-7675	233	9	in	in	ADP
ap-7675	233	10	the	the	DET
ap-7675	233	11	trace	trace	NOUN
ap-7675	233	12	of	of	ADP
ap-7675	233	13	the	the	DET
ap-7675	233	14	wigner	wigner	ADJ
ap-7675	233	15	matrix	matrix	NOUN
ap-7675	233	16	for	for	ADP
ap-7675	233	17	longer	long	ADJ
ap-7675	233	18	times	time	NOUN
ap-7675	233	19	is	be	AUX
ap-7675	233	20	related	relate	VERB
ap-7675	233	21	to	to	ADP
ap-7675	233	22	the	the	DET
ap-7675	233	23	increasing	increase	VERB
ap-7675	233	24	uncertainties	uncertainty	NOUN
ap-7675	233	25	of	of	ADP
ap-7675	233	26	the	the	DET
ap-7675	233	27	position	position	NOUN
ap-7675	233	28	and	and	CCONJ
ap-7675	233	29	momentum	momentum	NOUN
ap-7675	233	30	,	,	PUNCT
ap-7675	233	31	as	as	SCONJ
ap-7675	233	32	is	be	AUX
ap-7675	233	33	studied	study	VERB
ap-7675	233	34	in	in	ADP
ap-7675	233	35	[	[	X
ap-7675	233	36	35	35	NUM
ap-7675	233	37	]	]	PUNCT
ap-7675	233	38	,	,	PUNCT
ap-7675	233	39	in	in	ADP
ap-7675	233	40	agreement	agreement	NOUN
ap-7675	233	41	to	to	ADP
ap-7675	233	42	the	the	DET
ap-7675	233	43	probability	probability	NOUN
ap-7675	233	44	distribution	distribution	NOUN
ap-7675	233	45	eq	eq	ADP
ap-7675	233	46	.	.	PUNCT
ap-7675	234	1	(	(	PUNCT
ap-7675	234	2	30	30	NUM
ap-7675	234	3	)	)	PUNCT
ap-7675	234	4	.	.	PUNCT
ap-7675	235	1	also	also	ADV
ap-7675	235	2	,	,	PUNCT
ap-7675	235	3	the	the	DET
ap-7675	235	4	increasing	increasing	NOUN
ap-7675	235	5	of	of	ADP
ap-7675	235	6	the	the	DET
ap-7675	235	7	electric	electric	ADJ
ap-7675	235	8	field	field	NOUN
ap-7675	235	9	to	to	ADP
ap-7675	235	10	a	a	DET
ap-7675	235	11	critical	critical	ADJ
ap-7675	235	12	value	value	NOUN
ap-7675	235	13	can	can	AUX
ap-7675	235	14	delay	delay	VERB
ap-7675	235	15	the	the	DET
ap-7675	235	16	time	time	NOUN
ap-7675	235	17	-	-	PUNCT
ap-7675	235	18	evolution	evolution	NOUN
ap-7675	235	19	of	of	ADP
ap-7675	235	20	css	css	PROPN
ap-7675	235	21	in	in	ADP
ap-7675	235	22	one	one	NUM
ap-7675	235	23	of	of	ADP
ap-7675	235	24	the	the	DET
ap-7675	235	25	valleys	valley	NOUN
ap-7675	235	26	,	,	PUNCT
ap-7675	235	27	allowing	allow	VERB
ap-7675	235	28	us	we	PRON
ap-7675	235	29	to	to	PART
ap-7675	235	30	distinguish	distinguish	VERB
ap-7675	235	31	the	the	DET
ap-7675	235	32	dirac	dirac	NOUN
ap-7675	235	33	fermions	fermion	NOUN
ap-7675	235	34	of	of	ADP
ap-7675	235	35	one	one	NUM
ap-7675	235	36	valley	valley	NOUN
ap-7675	235	37	from	from	ADP
ap-7675	235	38	those	those	PRON
ap-7675	235	39	of	of	ADP
ap-7675	235	40	another	another	PRON
ap-7675	235	41	(	(	PUNCT
ap-7675	235	42	see	see	VERB
ap-7675	235	43	figures	figure	NOUN
ap-7675	235	44	3	3	NUM
ap-7675	235	45	,	,	PUNCT
ap-7675	235	46	4	4	NUM
ap-7675	235	47	and	and	CCONJ
ap-7675	235	48	5	5	NUM
ap-7675	235	49	)	)	PUNCT
ap-7675	235	50	.	.	PUNCT
ap-7675	236	1	in	in	ADP
ap-7675	236	2	figure	figure	NOUN
ap-7675	236	3	6	6	NUM
ap-7675	236	4	,	,	PUNCT
ap-7675	236	5	we	we	PRON
ap-7675	236	6	have	have	AUX
ap-7675	236	7	showed	show	VERB
ap-7675	236	8	the	the	DET
ap-7675	236	9	classical	classical	ADJ
ap-7675	236	10	picture	picture	NOUN
ap-7675	236	11	of	of	ADP
ap-7675	236	12	a	a	DET
ap-7675	236	13	(	(	PUNCT
ap-7675	236	14	valley	valley	NOUN
ap-7675	236	15	-	-	PUNCT
ap-7675	236	16	independent	independent	NOUN
ap-7675	236	17	)	)	PUNCT
ap-7675	236	18	non	non	ADJ
ap-7675	236	19	-	-	ADJ
ap-7675	236	20	relativistic	relativistic	ADJ
ap-7675	236	21	charge	charge	NOUN
ap-7675	236	22	carrier	carrier	NOUN
ap-7675	236	23	that	that	PRON
ap-7675	236	24	follows	follow	VERB
ap-7675	236	25	a	a	DET
ap-7675	236	26	closed	closed	ADJ
ap-7675	236	27	trajectory	trajectory	NOUN
ap-7675	236	28	in	in	ADP
ap-7675	236	29	the	the	DET
ap-7675	236	30	xy	xy	NOUN
ap-7675	236	31	-	-	PUNCT
ap-7675	236	32	plane	plane	NOUN
ap-7675	236	33	in	in	ADP
ap-7675	236	34	presence	presence	NOUN
ap-7675	236	35	of	of	ADP
ap-7675	236	36	an	an	DET
ap-7675	236	37	external	external	ADJ
ap-7675	236	38	magnetic	magnetic	ADJ
ap-7675	236	39	field	field	NOUN
ap-7675	236	40	b	b	PROPN
ap-7675	236	41	along	along	ADP
ap-7675	236	42	the	the	DET
ap-7675	236	43	z	z	NOUN
ap-7675	236	44	-	-	NOUN
ap-7675	236	45	direction	direction	NOUN
ap-7675	236	46	.	.	PUNCT
ap-7675	237	1	when	when	SCONJ
ap-7675	237	2	an	an	DET
ap-7675	237	3	electric	electric	ADJ
ap-7675	237	4	field	field	NOUN
ap-7675	237	5	e	e	NOUN
ap-7675	237	6	is	be	AUX
ap-7675	237	7	applied	apply	VERB
ap-7675	237	8	along	along	ADP
ap-7675	237	9	the	the	DET
ap-7675	237	10	x	x	NOUN
ap-7675	237	11	-	-	NOUN
ap-7675	237	12	axis	axis	ADJ
ap-7675	237	13	,	,	PUNCT
ap-7675	237	14	the	the	DET
ap-7675	237	15	trajectory	trajectory	NOUN
ap-7675	237	16	becomes	become	VERB
ap-7675	237	17	into	into	ADP
ap-7675	237	18	a	a	DET
ap-7675	237	19	trochoid	trochoid	NOUN
ap-7675	237	20	with	with	ADP
ap-7675	237	21	velocity	velocity	NOUN
ap-7675	237	22	vd	vd	NOUN
ap-7675	237	23	directed	direct	VERB
ap-7675	237	24	to	to	ADP
ap-7675	237	25	the	the	DET
ap-7675	237	26	y	y	NOUN
ap-7675	237	27	-	-	PUNCT
ap-7675	237	28	direction	direction	NOUN
ap-7675	237	29	.	.	PUNCT
ap-7675	238	1	in	in	ADP
ap-7675	238	2	contrast	contrast	NOUN
ap-7675	238	3	,	,	PUNCT
ap-7675	238	4	we	we	PRON
ap-7675	238	5	observe	observe	VERB
ap-7675	238	6	that	that	SCONJ
ap-7675	238	7	in	in	ADP
ap-7675	238	8	the	the	DET
ap-7675	238	9	quantum	quantum	ADJ
ap-7675	238	10	picture	picture	NOUN
ap-7675	238	11	of	of	ADP
ap-7675	238	12	our	our	PRON
ap-7675	238	13	problem	problem	NOUN
ap-7675	238	14	,	,	PUNCT
ap-7675	238	15	due	due	ADP
ap-7675	238	16	to	to	ADP
ap-7675	238	17	the	the	DET
ap-7675	238	18	lorentz	lorentz	PROPN
ap-7675	238	19	transformation	transformation	NOUN
ap-7675	238	20	into	into	ADP
ap-7675	238	21	the	the	DET
ap-7675	238	22	reference	reference	NOUN
ap-7675	238	23	frame	frame	NOUN
ap-7675	238	24	and	and	CCONJ
ap-7675	238	25	the	the	DET
ap-7675	238	26	energy	energy	NOUN
ap-7675	238	27	[	[	X
ap-7675	238	28	43	43	NUM
ap-7675	238	29	]	]	X
ap-7675	238	30	,	,	PUNCT
ap-7675	238	31	as	as	ADV
ap-7675	238	32	well	well	ADV
ap-7675	238	33	as	as	ADP
ap-7675	238	34	the	the	DET
ap-7675	238	35	valley	valley	NOUN
ap-7675	238	36	index	index	NOUN
ap-7675	238	37	,	,	PUNCT
ap-7675	238	38	there	there	PRON
ap-7675	238	39	is	be	VERB
ap-7675	238	40	a	a	DET
ap-7675	238	41	factor	factor	NOUN
ap-7675	238	42	(	(	PUNCT
ap-7675	238	43	1	1	NUM
ap-7675	238	44	−	−	NOUN
ap-7675	238	45	β2	β2	PROPN
ap-7675	238	46	ν)3/4	ν)3/4	PROPN
ap-7675	238	47	that	that	PRON
ap-7675	238	48	modifies	modify	VERB
ap-7675	238	49	the	the	DET
ap-7675	238	50	spacing	spacing	NOUN
ap-7675	238	51	between	between	ADP
ap-7675	238	52	two	two	NUM
ap-7675	238	53	adjacent	adjacent	ADJ
ap-7675	238	54	landau	landau	NOUN
ap-7675	238	55	levels	level	NOUN
ap-7675	238	56	,	,	PUNCT
ap-7675	238	57	and	and	CCONJ
ap-7675	238	58	as	as	ADP
ap-7675	238	59	a	a	DET
ap-7675	238	60	consequence	consequence	NOUN
ap-7675	238	61	also	also	ADV
ap-7675	238	62	the	the	DET
ap-7675	238	63	period	period	NOUN
ap-7675	238	64	of	of	ADP
ap-7675	238	65	motion	motion	NOUN
ap-7675	238	66	in	in	ADP
ap-7675	238	67	eq	eq	ADP
ap-7675	238	68	.	.	PUNCT
ap-7675	239	1	(	(	PUNCT
ap-7675	239	2	40	40	NUM
ap-7675	239	3	)	)	PUNCT
ap-7675	239	4	.	.	PUNCT
ap-7675	240	1	4	4	X
ap-7675	240	2	.	.	X
ap-7675	240	3	conclusions	conclusion	NOUN
ap-7675	240	4	we	we	PRON
ap-7675	240	5	studied	study	VERB
ap-7675	240	6	the	the	DET
ap-7675	240	7	dynamics	dynamic	NOUN
ap-7675	240	8	of	of	ADP
ap-7675	240	9	massless	massless	NOUN
ap-7675	240	10	dirac	dirac	NOUN
ap-7675	240	11	fermions	fermion	NOUN
ap-7675	240	12	in	in	ADP
ap-7675	240	13	two	two	NUM
ap-7675	240	14	bidimensional	bidimensional	ADJ
ap-7675	240	15	monolayers	monolayer	NOUN
ap-7675	240	16	of	of	ADP
ap-7675	240	17	boron	boron	NOUN
ap-7675	240	18	allotropes	allotrope	NOUN
ap-7675	240	19	under	under	ADP
ap-7675	240	20	the	the	DET
ap-7675	240	21	interaction	interaction	NOUN
ap-7675	240	22	with	with	ADP
ap-7675	240	23	crossed	cross	VERB
ap-7675	240	24	external	external	ADJ
ap-7675	240	25	electric	electric	ADJ
ap-7675	240	26	and	and	CCONJ
ap-7675	240	27	magnetic	magnetic	ADJ
ap-7675	240	28	fields	field	NOUN
ap-7675	240	29	.	.	PUNCT
ap-7675	241	1	we	we	PRON
ap-7675	241	2	analyzed	analyze	VERB
ap-7675	241	3	the	the	DET
ap-7675	241	4	effect	effect	NOUN
ap-7675	241	5	of	of	ADP
ap-7675	241	6	the	the	DET
ap-7675	241	7	dirac	dirac	NOUN
ap-7675	241	8	cone	cone	NOUN
ap-7675	241	9	tilt	tilt	NOUN
ap-7675	241	10	in	in	ADP
ap-7675	241	11	the	the	DET
ap-7675	241	12	time	time	NOUN
ap-7675	241	13	evolution	evolution	NOUN
ap-7675	241	14	of	of	ADP
ap-7675	241	15	probability	probability	NOUN
ap-7675	241	16	density	density	NOUN
ap-7675	241	17	of	of	ADP
ap-7675	241	18	coherent	coherent	ADJ
ap-7675	241	19	electron	electron	NOUN
ap-7675	241	20	states	state	NOUN
ap-7675	241	21	as	as	ADV
ap-7675	241	22	well	well	ADV
ap-7675	241	23	as	as	ADP
ap-7675	241	24	the	the	DET
ap-7675	241	25	corresponding	corresponding	ADJ
ap-7675	241	26	wigner	wigner	ADJ
ap-7675	241	27	function	function	NOUN
ap-7675	241	28	.	.	PUNCT
ap-7675	242	1	we	we	PRON
ap-7675	242	2	conclude	conclude	VERB
ap-7675	242	3	that	that	SCONJ
ap-7675	242	4	the	the	DET
ap-7675	242	5	time	time	NOUN
ap-7675	242	6	evolution	evolution	NOUN
ap-7675	242	7	of	of	ADP
ap-7675	242	8	the	the	DET
ap-7675	242	9	coherent	coherent	ADJ
ap-7675	242	10	electron	electron	NOUN
ap-7675	242	11	states	state	NOUN
ap-7675	242	12	in	in	ADP
ap-7675	242	13	these	these	DET
ap-7675	242	14	materials	material	NOUN
ap-7675	242	15	is	be	AUX
ap-7675	242	16	valley	valley	NOUN
ap-7675	242	17	dependent	dependent	ADJ
ap-7675	242	18	,	,	PUNCT
ap-7675	242	19	and	and	CCONJ
ap-7675	242	20	the	the	DET
ap-7675	242	21	presence	presence	NOUN
ap-7675	242	22	of	of	ADP
ap-7675	242	23	an	an	DET
ap-7675	242	24	in	in	ADP
ap-7675	242	25	-	-	PUNCT
ap-7675	242	26	plane	plane	NOUN
ap-7675	242	27	external	external	ADJ
ap-7675	242	28	electric	electric	ADJ
ap-7675	242	29	field	field	NOUN
ap-7675	242	30	reinforces	reinforce	VERB
ap-7675	242	31	such	such	DET
ap-7675	242	32	a	a	DET
ap-7675	242	33	dependency	dependency	NOUN
ap-7675	242	34	.	.	PUNCT
ap-7675	243	1	we	we	PRON
ap-7675	243	2	consider	consider	VERB
ap-7675	243	3	that	that	SCONJ
ap-7675	243	4	the	the	DET
ap-7675	243	5	findings	finding	NOUN
ap-7675	243	6	here	here	ADV
ap-7675	243	7	presented	present	VERB
ap-7675	243	8	may	may	AUX
ap-7675	243	9	contribute	contribute	VERB
ap-7675	243	10	to	to	ADP
ap-7675	243	11	the	the	DET
ap-7675	243	12	understanding	understanding	NOUN
ap-7675	243	13	of	of	ADP
ap-7675	243	14	the	the	DET
ap-7675	243	15	effects	effect	NOUN
ap-7675	243	16	of	of	ADP
ap-7675	243	17	the	the	DET
ap-7675	243	18	tilting	tilting	NOUN
ap-7675	243	19	of	of	ADP
ap-7675	243	20	the	the	DET
ap-7675	243	21	dirac	dirac	NOUN
ap-7675	243	22	cones	cone	NOUN
ap-7675	243	23	8b	8b	PROPN
ap-7675	243	24	and	and	CCONJ
ap-7675	243	25	2bh	2bh	ADJ
ap-7675	243	26	−	−	PROPN
ap-7675	243	27	pmmn	pmmn	NOUN
ap-7675	243	28	borophene	borophene	NOUN
ap-7675	243	29	on	on	ADP
ap-7675	243	30	the	the	DET
ap-7675	243	31	charge	charge	NOUN
ap-7675	243	32	carrier	carrier	NOUN
ap-7675	243	33	dynamics	dynamic	NOUN
ap-7675	243	34	under	under	ADP
ap-7675	243	35	the	the	DET
ap-7675	243	36	interaction	interaction	NOUN
ap-7675	243	37	of	of	ADP
ap-7675	243	38	electromagnetic	electromagnetic	ADJ
ap-7675	243	39	fields	field	NOUN
ap-7675	243	40	,	,	PUNCT
ap-7675	243	41	with	with	ADP
ap-7675	243	42	which	which	PRON
ap-7675	243	43	these	these	DET
ap-7675	243	44	materials	material	NOUN
ap-7675	243	45	could	could	AUX
ap-7675	243	46	be	be	AUX
ap-7675	243	47	considered	consider	VERB
ap-7675	243	48	as	as	ADP
ap-7675	243	49	viable	viable	ADJ
ap-7675	243	50	valley	valley	NOUN
ap-7675	243	51	splitters	splitter	NOUN
ap-7675	243	52	in	in	ADP
ap-7675	243	53	experimental	experimental	ADJ
ap-7675	243	54	applications	application	NOUN
ap-7675	243	55	.	.	PUNCT
ap-7675	244	1	besides	besides	SCONJ
ap-7675	244	2	,	,	PUNCT
ap-7675	244	3	the	the	DET
ap-7675	244	4	coherent	coherent	ADJ
ap-7675	244	5	state	state	NOUN
ap-7675	244	6	description	description	NOUN
ap-7675	244	7	developed	develop	VERB
ap-7675	244	8	through	through	ADP
ap-7675	244	9	the	the	DET
ap-7675	244	10	phase	phase	NOUN
ap-7675	244	11	-	-	PUNCT
ap-7675	244	12	space	space	NOUN
ap-7675	244	13	representation	representation	NOUN
ap-7675	244	14	may	may	AUX
ap-7675	244	15	provide	provide	VERB
ap-7675	244	16	a	a	DET
ap-7675	244	17	satisfactory	satisfactory	ADJ
ap-7675	244	18	semi	semi	ADJ
ap-7675	244	19	-	-	ADJ
ap-7675	244	20	classical	classical	ADJ
ap-7675	244	21	description	description	NOUN
ap-7675	244	22	of	of	ADP
ap-7675	244	23	similar	similar	ADJ
ap-7675	244	24	quantum	quantum	ADJ
ap-7675	244	25	valley	valley	NOUN
ap-7675	244	26	-	-	PUNCT
ap-7675	244	27	dependent	dependent	ADJ
ap-7675	244	28	phenomena	phenomenon	NOUN
ap-7675	244	29	that	that	PRON
ap-7675	244	30	occur	occur	VERB
ap-7675	244	31	in	in	ADP
ap-7675	244	32	other	other	ADJ
ap-7675	244	33	tilted	tilt	VERB
ap-7675	244	34	anisotropic	anisotropic	NOUN
ap-7675	244	35	dirac	dirac	NOUN
ap-7675	244	36	materials	material	NOUN
ap-7675	244	37	interacting	interact	VERB
ap-7675	244	38	with	with	ADP
ap-7675	244	39	external	external	ADJ
ap-7675	244	40	electromagnetic	electromagnetic	ADJ
ap-7675	244	41	fields	field	NOUN
ap-7675	244	42	.	.	PUNCT
ap-7675	245	1	acknowledgements	acknowledgement	NOUN
ap-7675	245	2	the	the	DET
ap-7675	245	3	author	author	NOUN
ap-7675	245	4	acknowledges	acknowledge	VERB
ap-7675	245	5	t.	t.	NOUN
ap-7675	245	6	stegmann	stegmann	PROPN
ap-7675	245	7	and	and	CCONJ
ap-7675	245	8	y.	y.	PROPN
ap-7675	245	9	betancurocampo	betancurocampo	NOUN
ap-7675	245	10	for	for	ADP
ap-7675	245	11	their	their	PRON
ap-7675	245	12	invaluable	invaluable	ADJ
ap-7675	245	13	comments	comment	NOUN
ap-7675	245	14	to	to	PART
ap-7675	245	15	improve	improve	VERB
ap-7675	245	16	this	this	DET
ap-7675	245	17	work	work	NOUN
ap-7675	245	18	,	,	PUNCT
ap-7675	245	19	as	as	ADV
ap-7675	245	20	well	well	ADV
ap-7675	245	21	as	as	ADP
ap-7675	245	22	the	the	DET
ap-7675	245	23	financial	financial	ADJ
ap-7675	245	24	support	support	NOUN
ap-7675	245	25	from	from	ADP
ap-7675	245	26	conacyt	conacyt	ADJ
ap-7675	245	27	project	project	NOUN
ap-7675	245	28	fordecyt	fordecyt	PROPN
ap-7675	245	29	-	-	PUNCT
ap-7675	245	30	pronaces/61533/2020	pronaces/61533/2020	NOUN
ap-7675	245	31	and	and	CCONJ
ap-7675	245	32	sipipn	sipipn	PROPN
ap-7675	245	33	research	research	NOUN
ap-7675	245	34	grant	grant	PROPN
ap-7675	245	35	20210317	20210317	NUM
ap-7675	245	36	.	.	PUNCT
ap-7675	246	1	references	reference	NOUN
ap-7675	246	2	[	[	X
ap-7675	246	3	1	1	X
ap-7675	246	4	]	]	PUNCT
ap-7675	246	5	e.	e.	PROPN
ap-7675	246	6	schrödinger	schrödinger	PROPN
ap-7675	246	7	.	.	PUNCT
ap-7675	247	1	der	der	ADJ
ap-7675	247	2	stetige	stetige	PROPN
ap-7675	247	3	übergang	übergang	PROPN
ap-7675	247	4	von	von	PROPN
ap-7675	247	5	der	der	PROPN
ap-7675	247	6	mikrozur	mikrozur	PROPN
ap-7675	247	7	makromechanik	makromechanik	AUX
ap-7675	247	8	.	.	PUNCT
ap-7675	248	1	naturwissenschaften	naturwissenschaften	VERB
ap-7675	248	2	14(28):664	14(28):664	NUM
ap-7675	248	3	–	–	PUNCT
ap-7675	248	4	666	666	NUM
ap-7675	248	5	,	,	PUNCT
ap-7675	248	6	1926	1926	NUM
ap-7675	248	7	.	.	PUNCT
ap-7675	249	1	https://doi.org/10.1007/bf01507634	https://doi.org/10.1007/bf01507634	PROPN
ap-7675	249	2	.	.	PUNCT
ap-7675	250	1	46	46	NUM
ap-7675	250	2	https://doi.org/10.1007/bf01507634	https://doi.org/10.1007/bf01507634	NUM
ap-7675	250	3	vol	vol	NOUN
ap-7675	250	4	.	.	PROPN
ap-7675	251	1	62	62	NUM
ap-7675	251	2	no	no	INTJ
ap-7675	251	3	.	.	PUNCT
ap-7675	252	1	1/2022	1/2022	NUM
ap-7675	252	2	coherent	coherent	ADJ
ap-7675	252	3	electron	electron	NOUN
ap-7675	252	4	states	state	NOUN
ap-7675	252	5	in	in	ADP
ap-7675	252	6	monolayers	monolayer	NOUN
ap-7675	252	7	of	of	ADP
ap-7675	252	8	boron	boron	NOUN
ap-7675	252	9	allotropes	allotrope	NOUN
ap-7675	252	10	[	[	X
ap-7675	252	11	2	2	NUM
ap-7675	252	12	]	]	PUNCT
ap-7675	252	13	r.	r.	PROPN
ap-7675	252	14	j.	j.	PROPN
ap-7675	252	15	glauber	glauber	PROPN
ap-7675	252	16	.	.	PUNCT
ap-7675	253	1	coherent	coherent	ADJ
ap-7675	253	2	and	and	CCONJ
ap-7675	253	3	incoherent	incoherent	ADJ
ap-7675	253	4	states	state	NOUN
ap-7675	253	5	of	of	ADP
ap-7675	253	6	the	the	DET
ap-7675	253	7	radiation	radiation	NOUN
ap-7675	253	8	field	field	NOUN
ap-7675	253	9	.	.	PUNCT
ap-7675	254	1	physical	physical	ADJ
ap-7675	254	2	review	review	PROPN
ap-7675	254	3	131:2766–2788	131:2766–2788	NUM
ap-7675	254	4	,	,	PUNCT
ap-7675	254	5	1963	1963	NUM
ap-7675	254	6	.	.	PUNCT
ap-7675	255	1	https://doi.org/10.1103/physrev.131.2766	https://doi.org/10.1103/physrev.131.2766	X
ap-7675	255	2	.	.	PUNCT
ap-7675	256	1	[	[	X
ap-7675	256	2	3	3	X
ap-7675	256	3	]	]	PUNCT
ap-7675	256	4	j.	j.	PROPN
ap-7675	256	5	weinbub	weinbub	PROPN
ap-7675	256	6	,	,	PUNCT
ap-7675	256	7	d.	d.	PROPN
ap-7675	256	8	k.	k.	PROPN
ap-7675	256	9	ferry	ferry	PROPN
ap-7675	256	10	.	.	PUNCT
ap-7675	257	1	recent	recent	ADJ
ap-7675	257	2	advances	advance	NOUN
ap-7675	257	3	in	in	ADP
ap-7675	257	4	wigner	wigner	ADJ
ap-7675	257	5	function	function	NOUN
ap-7675	257	6	approaches	approach	NOUN
ap-7675	257	7	.	.	PUNCT
ap-7675	258	1	applied	applied	ADJ
ap-7675	258	2	physics	physics	NOUN
ap-7675	258	3	reviews	review	NOUN
ap-7675	258	4	5(4):041104	5(4):041104	NOUN
ap-7675	258	5	,	,	PUNCT
ap-7675	258	6	2018	2018	NUM
ap-7675	258	7	.	.	PUNCT
ap-7675	259	1	https://doi.org/10.1063/1.5046663	https://doi.org/10.1063/1.5046663	X
ap-7675	259	2	.	.	PUNCT
ap-7675	260	1	[	[	X
ap-7675	260	2	4	4	NUM
ap-7675	260	3	]	]	X
ap-7675	260	4	c.	c.	PROPN
ap-7675	260	5	gerry	gerry	PROPN
ap-7675	260	6	,	,	PUNCT
ap-7675	260	7	p.	p.	NOUN
ap-7675	260	8	knight	knight	NOUN
ap-7675	260	9	,	,	PUNCT
ap-7675	260	10	c.	c.	PROPN
ap-7675	260	11	c.	c.	PROPN
ap-7675	260	12	gerry	gerry	PROPN
ap-7675	260	13	.	.	PUNCT
ap-7675	261	1	introductory	introductory	ADJ
ap-7675	261	2	quantum	quantum	ADJ
ap-7675	261	3	optics	optic	NOUN
ap-7675	261	4	.	.	PUNCT
ap-7675	262	1	cambridge	cambridge	PROPN
ap-7675	262	2	university	university	PROPN
ap-7675	262	3	press	press	NOUN
ap-7675	262	4	,	,	PUNCT
ap-7675	262	5	2010	2010	NUM
ap-7675	262	6	.	.	PUNCT
ap-7675	263	1	isbn	isbn	PROPN
ap-7675	263	2	052152735x	052152735x	NUM
ap-7675	263	3	.	.	PUNCT
ap-7675	264	1	[	[	X
ap-7675	264	2	5	5	X
ap-7675	264	3	]	]	PUNCT
ap-7675	264	4	e.	e.	PROPN
ap-7675	264	5	wigner	wigner	PROPN
ap-7675	264	6	.	.	PUNCT
ap-7675	265	1	on	on	ADP
ap-7675	265	2	the	the	DET
ap-7675	265	3	quantum	quantum	ADJ
ap-7675	265	4	correction	correction	NOUN
ap-7675	265	5	for	for	ADP
ap-7675	265	6	thermodynamic	thermodynamic	ADJ
ap-7675	265	7	equilibrium	equilibrium	NOUN
ap-7675	265	8	.	.	PUNCT
ap-7675	266	1	physical	physical	ADJ
ap-7675	266	2	review	review	NOUN
ap-7675	266	3	40(5):749	40(5):749	PROPN
ap-7675	266	4	–	–	PUNCT
ap-7675	266	5	759	759	NUM
ap-7675	266	6	,	,	PUNCT
ap-7675	266	7	1932	1932	NUM
ap-7675	266	8	.	.	PUNCT
ap-7675	267	1	https://doi.org/10.1103/physrev.40.749	https://doi.org/10.1103/physrev.40.749	NOUN
ap-7675	267	2	.	.	PUNCT
ap-7675	268	1	[	[	X
ap-7675	268	2	6	6	NUM
ap-7675	268	3	]	]	PUNCT
ap-7675	268	4	m.	m.	NOUN
ap-7675	268	5	hillery	hillery	PROPN
ap-7675	268	6	,	,	PUNCT
ap-7675	268	7	r.	r.	PROPN
ap-7675	268	8	f.	f.	PROPN
ap-7675	268	9	o’connell	o’connell	PROPN
ap-7675	268	10	,	,	PUNCT
ap-7675	268	11	m.	m.	NOUN
ap-7675	268	12	o.	o.	PROPN
ap-7675	268	13	scully	scully	PROPN
ap-7675	268	14	,	,	PUNCT
ap-7675	268	15	e.	e.	PROPN
ap-7675	268	16	p.	p.	PROPN
ap-7675	268	17	wigner	wigner	NOUN
ap-7675	268	18	.	.	PUNCT
ap-7675	269	1	distribution	distribution	NOUN
ap-7675	269	2	functions	function	NOUN
ap-7675	269	3	in	in	ADP
ap-7675	269	4	physics	physics	NOUN
ap-7675	269	5	:	:	PUNCT
ap-7675	269	6	fundamentals	fundamental	NOUN
ap-7675	269	7	.	.	PUNCT
ap-7675	270	1	physics	physics	NOUN
ap-7675	270	2	reports	report	NOUN
ap-7675	270	3	106(3):121–167	106(3):121–167	NUM
ap-7675	270	4	,	,	PUNCT
ap-7675	270	5	1984	1984	NUM
ap-7675	270	6	.	.	PUNCT
ap-7675	271	1	https://doi.org/10.1016/0370-1573(84)90160-1	https://doi.org/10.1016/0370-1573(84)90160-1	PROPN
ap-7675	271	2	.	.	PUNCT
ap-7675	272	1	[	[	X
ap-7675	272	2	7	7	NUM
ap-7675	272	3	]	]	PUNCT
ap-7675	272	4	a.	a.	NOUN
ap-7675	272	5	kenfack	kenfack	NOUN
ap-7675	272	6	,	,	PUNCT
ap-7675	272	7	k.	k.	PROPN
ap-7675	272	8	zyczkowski	zyczkowski	PROPN
ap-7675	272	9	.	.	PUNCT
ap-7675	273	1	negativity	negativity	NOUN
ap-7675	273	2	of	of	ADP
ap-7675	273	3	the	the	DET
ap-7675	273	4	wigner	wigner	ADJ
ap-7675	273	5	function	function	NOUN
ap-7675	273	6	as	as	ADP
ap-7675	273	7	an	an	DET
ap-7675	273	8	indicator	indicator	NOUN
ap-7675	273	9	of	of	ADP
ap-7675	273	10	non	non	ADJ
ap-7675	273	11	-	-	NOUN
ap-7675	273	12	classicality	classicality	ADJ
ap-7675	273	13	.	.	PUNCT
ap-7675	274	1	journal	journal	NOUN
ap-7675	274	2	of	of	ADP
ap-7675	274	3	optics	optics	PROPN
ap-7675	274	4	b	b	NOUN
ap-7675	274	5	:	:	PUNCT
ap-7675	274	6	quantum	quantum	ADJ
ap-7675	274	7	and	and	CCONJ
ap-7675	274	8	semiclassical	semiclassical	ADJ
ap-7675	274	9	optics	optic	NOUN
ap-7675	274	10	6(10):396–404	6(10):396–404	NOUN
ap-7675	274	11	,	,	PUNCT
ap-7675	274	12	2004	2004	NUM
ap-7675	274	13	.	.	PUNCT
ap-7675	275	1	https://doi.org/10.1088/1464-4266/6/10/003	https://doi.org/10.1088/1464-4266/6/10/003	X
ap-7675	275	2	.	.	PUNCT
ap-7675	276	1	[	[	X
ap-7675	276	2	8	8	NUM
ap-7675	276	3	]	]	X
ap-7675	276	4	d.	d.	PROPN
ap-7675	276	5	t.	t.	PROPN
ap-7675	276	6	smithey	smithey	PROPN
ap-7675	276	7	,	,	PUNCT
ap-7675	276	8	m.	m.	PROPN
ap-7675	276	9	beck	beck	PROPN
ap-7675	276	10	,	,	PUNCT
ap-7675	276	11	m.	m.	NOUN
ap-7675	276	12	g.	g.	PROPN
ap-7675	276	13	raymer	raymer	PROPN
ap-7675	276	14	,	,	PUNCT
ap-7675	276	15	a.	a.	NOUN
ap-7675	276	16	faridani	faridani	PROPN
ap-7675	276	17	.	.	PUNCT
ap-7675	277	1	measurement	measurement	NOUN
ap-7675	277	2	of	of	ADP
ap-7675	277	3	the	the	DET
ap-7675	277	4	wigner	wigner	ADJ
ap-7675	277	5	distribution	distribution	NOUN
ap-7675	277	6	and	and	CCONJ
ap-7675	277	7	the	the	DET
ap-7675	277	8	density	density	NOUN
ap-7675	277	9	matrix	matrix	NOUN
ap-7675	277	10	of	of	ADP
ap-7675	277	11	a	a	DET
ap-7675	277	12	light	light	ADJ
ap-7675	277	13	mode	mode	NOUN
ap-7675	277	14	using	use	VERB
ap-7675	277	15	optical	optical	ADJ
ap-7675	277	16	homodyne	homodyne	NOUN
ap-7675	277	17	tomography	tomography	NOUN
ap-7675	277	18	:	:	PUNCT
ap-7675	277	19	application	application	NOUN
ap-7675	277	20	to	to	ADP
ap-7675	277	21	squeezed	squeeze	VERB
ap-7675	277	22	states	state	NOUN
ap-7675	277	23	and	and	CCONJ
ap-7675	277	24	the	the	DET
ap-7675	277	25	vacuum	vacuum	NOUN
ap-7675	277	26	.	.	PUNCT
ap-7675	278	1	physical	physical	ADJ
ap-7675	278	2	review	review	NOUN
ap-7675	278	3	letters	letter	VERB
ap-7675	278	4	70(9):1244–1247	70(9):1244–1247	NUM
ap-7675	278	5	,	,	PUNCT
ap-7675	278	6	1993	1993	NUM
ap-7675	278	7	.	.	PUNCT
ap-7675	279	1	https://doi.org/10.1103/physrevlett.70.1244	https://doi.org/10.1103/physrevlett.70.1244	NOUN
ap-7675	279	2	.	.	PUNCT
ap-7675	280	1	[	[	X
ap-7675	280	2	9	9	NUM
ap-7675	280	3	]	]	PUNCT
ap-7675	280	4	c.	c.	NOUN
ap-7675	280	5	baune	baune	PROPN
ap-7675	280	6	,	,	PUNCT
ap-7675	280	7	j.	j.	PROPN
ap-7675	280	8	fiurášek	fiurášek	PROPN
ap-7675	280	9	,	,	PUNCT
ap-7675	280	10	r.	r.	PROPN
ap-7675	280	11	schnabel	schnabel	PROPN
ap-7675	280	12	.	.	PUNCT
ap-7675	281	1	negative	negative	ADJ
ap-7675	281	2	wigner	wigner	ADJ
ap-7675	281	3	function	function	NOUN
ap-7675	281	4	at	at	ADP
ap-7675	281	5	telecommunication	telecommunication	NOUN
ap-7675	281	6	wavelength	wavelength	NOUN
ap-7675	281	7	from	from	ADP
ap-7675	281	8	homodyne	homodyne	NOUN
ap-7675	281	9	detection	detection	NOUN
ap-7675	281	10	.	.	PUNCT
ap-7675	282	1	physical	physical	ADJ
ap-7675	282	2	review	review	NOUN
ap-7675	282	3	a	a	DET
ap-7675	282	4	95(6):061802	95(6):061802	NUM
ap-7675	282	5	,	,	PUNCT
ap-7675	282	6	2017	2017	NUM
ap-7675	282	7	.	.	PUNCT
ap-7675	283	1	https://doi.org/10.1103/physreva.95.061802	https://doi.org/10.1103/physreva.95.061802	ADJ
ap-7675	283	2	.	.	PUNCT
ap-7675	284	1	[	[	X
ap-7675	284	2	10	10	NUM
ap-7675	284	3	]	]	X
ap-7675	284	4	h.-w	h.-w	PROPN
ap-7675	284	5	.	.	PUNCT
ap-7675	284	6	lee	lee	PROPN
ap-7675	284	7	.	.	PROPN
ap-7675	284	8	theory	theory	NOUN
ap-7675	284	9	and	and	CCONJ
ap-7675	284	10	application	application	NOUN
ap-7675	284	11	of	of	ADP
ap-7675	284	12	the	the	DET
ap-7675	284	13	quantum	quantum	ADJ
ap-7675	284	14	phase	phase	NOUN
ap-7675	284	15	-	-	PUNCT
ap-7675	284	16	space	space	NOUN
ap-7675	284	17	distribution	distribution	NOUN
ap-7675	284	18	functions	function	NOUN
ap-7675	284	19	.	.	PUNCT
ap-7675	285	1	physics	physics	NOUN
ap-7675	285	2	reports	report	VERB
ap-7675	285	3	259(3):147–211	259(3):147–211	NUM
ap-7675	285	4	,	,	PUNCT
ap-7675	285	5	1995	1995	NUM
ap-7675	285	6	.	.	PUNCT
ap-7675	286	1	https://doi.org/10.1016/0370-1573(95)00007-4	https://doi.org/10.1016/0370-1573(95)00007-4	ADJ
ap-7675	286	2	.	.	PUNCT
ap-7675	287	1	[	[	X
ap-7675	287	2	11	11	NUM
ap-7675	287	3	]	]	X
ap-7675	287	4	w.	w.	PROPN
ap-7675	287	5	b.	b.	PROPN
ap-7675	287	6	case	case	PROPN
ap-7675	287	7	.	.	PUNCT
ap-7675	288	1	wigner	wigner	ADJ
ap-7675	288	2	functions	function	NOUN
ap-7675	288	3	and	and	CCONJ
ap-7675	288	4	weyl	weyl	PROPN
ap-7675	288	5	transforms	transform	VERB
ap-7675	288	6	for	for	ADP
ap-7675	288	7	pedestrians	pedestrian	NOUN
ap-7675	288	8	.	.	PUNCT
ap-7675	289	1	american	american	ADJ
ap-7675	289	2	journal	journal	PROPN
ap-7675	289	3	of	of	ADP
ap-7675	289	4	physics	physics	PROPN
ap-7675	289	5	76(10):937	76(10):937	NUM
ap-7675	289	6	–	–	PUNCT
ap-7675	289	7	946	946	NUM
ap-7675	289	8	,	,	PUNCT
ap-7675	289	9	2008	2008	NUM
ap-7675	289	10	.	.	PUNCT
ap-7675	290	1	https://doi.org/10.1119/1.2957889	https://doi.org/10.1119/1.2957889	NOUN
ap-7675	290	2	.	.	PUNCT
ap-7675	291	1	[	[	X
ap-7675	291	2	12	12	NUM
ap-7675	291	3	]	]	PUNCT
ap-7675	291	4	r.	r.	PROPN
ap-7675	291	5	p.	p.	PROPN
ap-7675	291	6	rundle	rundle	PROPN
ap-7675	291	7	,	,	PUNCT
ap-7675	291	8	p.	p.	NOUN
ap-7675	291	9	w.	w.	PROPN
ap-7675	291	10	mills	mills	PROPN
ap-7675	291	11	,	,	PUNCT
ap-7675	291	12	t.	t.	PROPN
ap-7675	291	13	tilma	tilma	PROPN
ap-7675	291	14	,	,	PUNCT
ap-7675	291	15	et	et	PROPN
ap-7675	291	16	al	al	PROPN
ap-7675	291	17	.	.	PROPN
ap-7675	291	18	simple	simple	ADJ
ap-7675	291	19	procedure	procedure	NOUN
ap-7675	291	20	for	for	ADP
ap-7675	291	21	phase	phase	NOUN
ap-7675	291	22	-	-	PUNCT
ap-7675	291	23	space	space	NOUN
ap-7675	291	24	measurement	measurement	NOUN
ap-7675	291	25	and	and	CCONJ
ap-7675	291	26	entanglement	entanglement	NOUN
ap-7675	291	27	validation	validation	NOUN
ap-7675	291	28	.	.	PUNCT
ap-7675	292	1	physical	physical	ADJ
ap-7675	292	2	review	review	NOUN
ap-7675	292	3	a	a	DET
ap-7675	292	4	96(2):022117	96(2):022117	NUM
ap-7675	292	5	,	,	PUNCT
ap-7675	292	6	2017	2017	NUM
ap-7675	292	7	.	.	PUNCT
ap-7675	293	1	https://doi.org/10.1103/physreva.96.022117	https://doi.org/10.1103/physreva.96.022117	PROPN
ap-7675	293	2	.	.	PUNCT
ap-7675	294	1	[	[	X
ap-7675	294	2	13	13	NUM
ap-7675	294	3	]	]	PUNCT
ap-7675	294	4	m.	m.	NOUN
ap-7675	294	5	v.	v.	ADP
ap-7675	294	6	berry	berry	PROPN
ap-7675	294	7	.	.	PUNCT
ap-7675	295	1	semi	semi	ADJ
ap-7675	295	2	-	-	ADJ
ap-7675	295	3	classical	classical	ADJ
ap-7675	295	4	mechanics	mechanic	NOUN
ap-7675	295	5	in	in	ADP
ap-7675	295	6	phase	phase	NOUN
ap-7675	295	7	space	space	NOUN
ap-7675	295	8	:	:	PUNCT
ap-7675	295	9	a	a	DET
ap-7675	295	10	study	study	NOUN
ap-7675	295	11	of	of	ADP
ap-7675	295	12	wigner	wigner	NOUN
ap-7675	295	13	’s	’s	PART
ap-7675	295	14	function	function	NOUN
ap-7675	295	15	.	.	PUNCT
ap-7675	296	1	philosophical	philosophical	ADJ
ap-7675	296	2	transactions	transaction	NOUN
ap-7675	296	3	of	of	ADP
ap-7675	296	4	the	the	DET
ap-7675	296	5	royal	royal	ADJ
ap-7675	296	6	society	society	NOUN
ap-7675	296	7	of	of	ADP
ap-7675	296	8	london	london	PROPN
ap-7675	296	9	series	series	PROPN
ap-7675	296	10	a	a	PRON
ap-7675	296	11	,	,	PUNCT
ap-7675	296	12	mathematical	mathematical	ADJ
ap-7675	296	13	and	and	CCONJ
ap-7675	296	14	physical	physical	ADJ
ap-7675	296	15	sciences	science	NOUN
ap-7675	296	16	287(1343):237–271	287(1343):237–271	NUM
ap-7675	296	17	,	,	PUNCT
ap-7675	296	18	1977	1977	NUM
ap-7675	296	19	.	.	PUNCT
ap-7675	297	1	https://doi.org/10.1098/rsta.1977.0145	https://doi.org/10.1098/rsta.1977.0145	PROPN
ap-7675	297	2	.	.	PUNCT
ap-7675	298	1	[	[	X
ap-7675	298	2	14	14	NUM
ap-7675	298	3	]	]	X
ap-7675	298	4	c.	c.	PROPN
ap-7675	298	5	jacoboni	jacoboni	PROPN
ap-7675	298	6	,	,	PUNCT
ap-7675	298	7	p.	p.	NOUN
ap-7675	298	8	bordone	bordone	NOUN
ap-7675	298	9	.	.	PUNCT
ap-7675	299	1	the	the	DET
ap-7675	299	2	wigner	wigner	NOUN
ap-7675	299	3	-	-	PUNCT
ap-7675	299	4	function	function	NOUN
ap-7675	299	5	approach	approach	NOUN
ap-7675	299	6	to	to	ADP
ap-7675	299	7	non	non	ADJ
ap-7675	299	8	-	-	ADJ
ap-7675	299	9	equilibrium	equilibrium	ADJ
ap-7675	299	10	electron	electron	NOUN
ap-7675	299	11	transport	transport	NOUN
ap-7675	299	12	.	.	PUNCT
ap-7675	300	1	reports	report	NOUN
ap-7675	300	2	on	on	ADP
ap-7675	300	3	progress	progress	NOUN
ap-7675	300	4	in	in	ADP
ap-7675	300	5	physics	physics	NOUN
ap-7675	300	6	67(7):1033	67(7):1033	NUM
ap-7675	300	7	,	,	PUNCT
ap-7675	300	8	2004	2004	NUM
ap-7675	300	9	.	.	PUNCT
ap-7675	301	1	https://doi.org/10.1088/0034-4885/67/7/r01	https://doi.org/10.1088/0034-4885/67/7/r01	PROPN
ap-7675	301	2	.	.	PUNCT
ap-7675	302	1	[	[	X
ap-7675	302	2	15	15	NUM
ap-7675	302	3	]	]	X
ap-7675	302	4	c.	c.	NOUN
ap-7675	302	5	bäuerle	bäuerle	PROPN
ap-7675	302	6	,	,	PUNCT
ap-7675	302	7	d.	d.	PROPN
ap-7675	302	8	c.	c.	PROPN
ap-7675	302	9	glattli	glattli	PROPN
ap-7675	302	10	,	,	PUNCT
ap-7675	302	11	t.	t.	NOUN
ap-7675	302	12	meunier	meunier	PROPN
ap-7675	302	13	,	,	PUNCT
ap-7675	302	14	et	et	PROPN
ap-7675	302	15	al	al	PROPN
ap-7675	302	16	.	.	PUNCT
ap-7675	302	17	coherent	coherent	ADJ
ap-7675	302	18	control	control	NOUN
ap-7675	302	19	of	of	ADP
ap-7675	302	20	single	single	ADJ
ap-7675	302	21	electrons	electron	NOUN
ap-7675	302	22	:	:	PUNCT
ap-7675	302	23	a	a	DET
ap-7675	302	24	review	review	NOUN
ap-7675	302	25	of	of	ADP
ap-7675	302	26	current	current	ADJ
ap-7675	302	27	progress	progress	NOUN
ap-7675	302	28	.	.	PUNCT
ap-7675	303	1	reports	report	NOUN
ap-7675	303	2	on	on	ADP
ap-7675	303	3	progress	progress	NOUN
ap-7675	303	4	in	in	ADP
ap-7675	303	5	physics	physics	NOUN
ap-7675	303	6	81(5):056503	81(5):056503	PROPN
ap-7675	303	7	,	,	PUNCT
ap-7675	303	8	2018	2018	NUM
ap-7675	303	9	.	.	PUNCT
ap-7675	304	1	https://doi.org/10.1088/1361-6633/aaa98a	https://doi.org/10.1088/1361-6633/aaa98a	ADV
ap-7675	304	2	.	.	PUNCT
ap-7675	305	1	[	[	X
ap-7675	305	2	16	16	NUM
ap-7675	305	3	]	]	X
ap-7675	305	4	e.	e.	PROPN
ap-7675	305	5	colomés	colomés	PROPN
ap-7675	305	6	,	,	PUNCT
ap-7675	305	7	z.	z.	PROPN
ap-7675	305	8	zhan	zhan	PROPN
ap-7675	305	9	,	,	PUNCT
ap-7675	305	10	x.	x.	NOUN
ap-7675	305	11	oriols	oriol	NOUN
ap-7675	305	12	.	.	PUNCT
ap-7675	306	1	comparing	compare	VERB
ap-7675	306	2	wigner	wigner	NOUN
ap-7675	306	3	,	,	PUNCT
ap-7675	306	4	husimi	husimi	NOUN
ap-7675	306	5	and	and	CCONJ
ap-7675	306	6	bohmian	bohmian	ADJ
ap-7675	306	7	distributions	distribution	NOUN
ap-7675	306	8	:	:	PUNCT
ap-7675	306	9	which	which	DET
ap-7675	306	10	one	one	NOUN
ap-7675	306	11	is	be	AUX
ap-7675	306	12	a	a	DET
ap-7675	306	13	true	true	ADJ
ap-7675	306	14	probability	probability	NOUN
ap-7675	306	15	distribution	distribution	NOUN
ap-7675	306	16	in	in	ADP
ap-7675	306	17	phase	phase	NOUN
ap-7675	306	18	space	space	NOUN
ap-7675	306	19	?	?	PUNCT
ap-7675	307	1	journal	journal	NOUN
ap-7675	307	2	of	of	ADP
ap-7675	307	3	computational	computational	ADJ
ap-7675	307	4	electronics	electronic	NOUN
ap-7675	307	5	14(4):894–906	14(4):894–906	NUM
ap-7675	307	6	,	,	PUNCT
ap-7675	307	7	2015	2015	NUM
ap-7675	307	8	.	.	PUNCT
ap-7675	308	1	https://doi.org/10.1007/s10825-015-0737-6	https://doi.org/10.1007/s10825-015-0737-6	NUM
ap-7675	308	2	.	.	PUNCT
ap-7675	309	1	[	[	X
ap-7675	309	2	17	17	NUM
ap-7675	309	3	]	]	X
ap-7675	309	4	d.	d.	PROPN
ap-7675	309	5	j.	j.	PROPN
ap-7675	309	6	mason	mason	PROPN
ap-7675	309	7	,	,	PUNCT
ap-7675	309	8	m.	m.	PROPN
ap-7675	309	9	f.	f.	PROPN
ap-7675	309	10	borunda	borunda	PROPN
ap-7675	309	11	,	,	PUNCT
ap-7675	309	12	e.	e.	PROPN
ap-7675	309	13	j.	j.	PROPN
ap-7675	309	14	heller	heller	PROPN
ap-7675	309	15	.	.	PUNCT
ap-7675	310	1	revealing	reveal	VERB
ap-7675	310	2	the	the	DET
ap-7675	310	3	flux	flux	NOUN
ap-7675	310	4	:	:	PUNCT
ap-7675	310	5	using	use	VERB
ap-7675	310	6	processed	process	VERB
ap-7675	310	7	husimi	husimi	NOUN
ap-7675	310	8	maps	map	NOUN
ap-7675	310	9	to	to	PART
ap-7675	310	10	visualize	visualize	VERB
ap-7675	310	11	dynamics	dynamic	NOUN
ap-7675	310	12	of	of	ADP
ap-7675	310	13	bound	bind	VERB
ap-7675	310	14	systems	system	NOUN
ap-7675	310	15	and	and	CCONJ
ap-7675	310	16	mesoscopic	mesoscopic	NOUN
ap-7675	310	17	transport	transport	NOUN
ap-7675	310	18	.	.	PUNCT
ap-7675	311	1	physical	physical	PROPN
ap-7675	311	2	review	review	PROPN
ap-7675	311	3	b	b	PROPN
ap-7675	311	4	91(16):165405	91(16):165405	NUM
ap-7675	311	5	,	,	PUNCT
ap-7675	311	6	2015	2015	NUM
ap-7675	311	7	.	.	PUNCT
ap-7675	312	1	https://doi.org/10.1103/physrevb.91.165405	https://doi.org/10.1103/physrevb.91.165405	NOUN
ap-7675	312	2	.	.	PUNCT
ap-7675	313	1	[	[	X
ap-7675	313	2	18	18	NUM
ap-7675	313	3	]	]	X
ap-7675	313	4	c.	c.	PROPN
ap-7675	313	5	m.	m.	PROPN
ap-7675	313	6	carmesin	carmesin	PROPN
ap-7675	313	7	,	,	PUNCT
ap-7675	313	8	p.	p.	PROPN
ap-7675	313	9	kling	kling	PROPN
ap-7675	313	10	,	,	PUNCT
ap-7675	313	11	e.	e.	PROPN
ap-7675	313	12	giese	giese	PROPN
ap-7675	313	13	,	,	PUNCT
ap-7675	313	14	et	et	PROPN
ap-7675	313	15	al	al	PROPN
ap-7675	313	16	.	.	PUNCT
ap-7675	313	17	quantum	quantum	PROPN
ap-7675	313	18	and	and	CCONJ
ap-7675	313	19	classical	classical	ADJ
ap-7675	313	20	phase	phase	NOUN
ap-7675	313	21	-	-	PUNCT
ap-7675	313	22	space	space	NOUN
ap-7675	313	23	dynamics	dynamic	NOUN
ap-7675	313	24	of	of	ADP
ap-7675	313	25	a	a	DET
ap-7675	313	26	free	free	ADJ
ap-7675	313	27	-	-	PUNCT
ap-7675	313	28	electron	electron	NOUN
ap-7675	313	29	laser	laser	NOUN
ap-7675	313	30	.	.	PUNCT
ap-7675	314	1	physical	physical	PROPN
ap-7675	314	2	review	review	PROPN
ap-7675	314	3	research	research	NOUN
ap-7675	314	4	2(2):023027	2(2):023027	NUM
ap-7675	314	5	,	,	PUNCT
ap-7675	314	6	2020	2020	NUM
ap-7675	314	7	.	.	PUNCT
ap-7675	315	1	https://doi.org/10.1103/physrevresearch.2.023027	https://doi.org/10.1103/physrevresearch.2.023027	NOUN
ap-7675	315	2	.	.	PUNCT
ap-7675	316	1	[	[	X
ap-7675	316	2	19	19	NUM
ap-7675	316	3	]	]	X
ap-7675	316	4	o.	o.	PROPN
ap-7675	316	5	morandi	morandi	PROPN
ap-7675	316	6	,	,	PUNCT
ap-7675	316	7	f.	f.	PROPN
ap-7675	316	8	schürrer	schürrer	PROPN
ap-7675	316	9	.	.	PUNCT
ap-7675	317	1	wigner	wigner	ADJ
ap-7675	317	2	model	model	NOUN
ap-7675	317	3	for	for	ADP
ap-7675	317	4	quantum	quantum	ADJ
ap-7675	317	5	transport	transport	NOUN
ap-7675	317	6	in	in	ADP
ap-7675	317	7	graphene	graphene	NOUN
ap-7675	317	8	.	.	PUNCT
ap-7675	318	1	journal	journal	PROPN
ap-7675	318	2	of	of	ADP
ap-7675	318	3	physics	physics	PROPN
ap-7675	318	4	a	a	PRON
ap-7675	318	5	:	:	PUNCT
ap-7675	318	6	mathematical	mathematical	ADJ
ap-7675	318	7	and	and	CCONJ
ap-7675	318	8	theoretical	theoretical	ADJ
ap-7675	318	9	44(26):265301	44(26):265301	NUM
ap-7675	318	10	,	,	PUNCT
ap-7675	318	11	2011	2011	NUM
ap-7675	318	12	.	.	PUNCT
ap-7675	319	1	https://doi.org/10.1088/1751-8113/44/26/265301	https://doi.org/10.1088/1751-8113/44/26/265301	PROPN
ap-7675	319	2	.	.	PUNCT
ap-7675	320	1	[	[	X
ap-7675	320	2	20	20	NUM
ap-7675	320	3	]	]	PUNCT
ap-7675	320	4	e.	e.	PROPN
ap-7675	320	5	díaz	díaz	PROPN
ap-7675	320	6	-	-	PUNCT
ap-7675	320	7	bautista	bautista	PROPN
ap-7675	320	8	,	,	PUNCT
ap-7675	320	9	y.	y.	PROPN
ap-7675	320	10	betancur	betancur	NOUN
ap-7675	320	11	-	-	PUNCT
ap-7675	320	12	ocampo	ocampo	VERB
ap-7675	320	13	.	.	PUNCT
ap-7675	320	14	phase	phase	NOUN
ap-7675	320	15	-	-	PUNCT
ap-7675	320	16	space	space	NOUN
ap-7675	320	17	representation	representation	NOUN
ap-7675	320	18	of	of	ADP
ap-7675	320	19	landau	landau	NOUN
ap-7675	320	20	and	and	CCONJ
ap-7675	320	21	electron	electron	NOUN
ap-7675	320	22	coherent	coherent	ADJ
ap-7675	320	23	states	state	NOUN
ap-7675	320	24	for	for	ADP
ap-7675	320	25	uniaxially	uniaxially	ADV
ap-7675	320	26	strained	strain	VERB
ap-7675	320	27	graphene	graphene	NOUN
ap-7675	320	28	.	.	PUNCT
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ap-7675	325	8	,	,	PUNCT
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ap-7675	329	7	,	,	PUNCT
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ap-7675	329	9	.	.	PUNCT
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ap-7675	332	8	.	.	PUNCT
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ap-7675	333	5	,	,	PUNCT
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ap-7675	333	7	.	.	PUNCT
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ap-7675	337	5	,	,	PUNCT
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ap-7675	337	7	.	.	PUNCT
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ap-7675	341	8	.	.	PUNCT
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ap-7675	344	8	.	.	PUNCT
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ap-7675	345	6	,	,	PUNCT
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ap-7675	345	8	.	.	PUNCT
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ap-7675	349	7	,	,	PUNCT
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ap-7675	349	9	.	.	PUNCT
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ap-7675	351	21	.	.	PUNCT
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ap-7675	352	5	,	,	PUNCT
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ap-7675	352	7	.	.	PUNCT
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ap-7675	356	5	,	,	PUNCT
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ap-7675	356	7	.	.	PUNCT
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ap-7675	363	7	.	.	PUNCT
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ap-7675	365	3	]	]	PUNCT
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ap-7675	365	12	.	.	PUNCT
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ap-7675	367	7	.	.	PUNCT
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ap-7675	371	7	.	.	PUNCT
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ap-7675	375	5	,	,	PUNCT
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ap-7675	375	7	.	.	PUNCT
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ap-7675	377	3	]	]	PUNCT
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ap-7675	378	5	-	-	PUNCT
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ap-7675	378	8	:	:	PUNCT
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ap-7675	379	4	:	:	PUNCT
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ap-7675	379	8	,	,	PUNCT
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ap-7675	379	10	.	.	PUNCT
ap-7675	380	1	https://doi.org/10.1088/1361-648x/aac8b3	https://doi.org/10.1088/1361-648x/aac8b3	NUM
ap-7675	380	2	.	.	PUNCT
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ap-7675	381	4	y.	y.	PROPN
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ap-7675	381	6	-	-	PUNCT
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ap-7675	381	8	,	,	PUNCT
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ap-7675	381	16	.	.	PUNCT
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ap-7675	383	5	,	,	PUNCT
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ap-7675	383	7	.	.	PUNCT
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ap-7675	384	2	.	.	PUNCT
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ap-7675	385	12	.	.	PUNCT
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ap-7675	386	17	.	.	PUNCT
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ap-7675	387	5	,	,	PUNCT
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ap-7675	387	7	.	.	PUNCT
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ap-7675	388	2	.	.	PUNCT
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ap-7675	390	10	.	.	PUNCT
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ap-7675	394	7	.	.	PUNCT
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ap-7675	400	7	.	.	PUNCT
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ap-7675	403	7	.	.	PUNCT
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ap-7675	406	6	f.	f.	PROPN
ap-7675	406	7	piéchon	piéchon	PROPN
ap-7675	406	8	.	.	PUNCT
ap-7675	407	1	tilted	tilt	VERB
ap-7675	407	2	anisotropic	anisotropic	NOUN
ap-7675	407	3	dirac	dirac	NOUN
ap-7675	407	4	cones	cone	NOUN
ap-7675	407	5	in	in	ADP
ap-7675	407	6	quinoid	quinoid	ADJ
ap-7675	407	7	-	-	PUNCT
ap-7675	407	8	type	type	NOUN
ap-7675	407	9	graphene	graphene	NOUN
ap-7675	407	10	and	and	CCONJ
ap-7675	407	11	α-(bedt	α-(bedt	NOUN
ap-7675	407	12	-	-	PUNCT
ap-7675	407	13	ttf)2i3	ttf)2i3	NUM
ap-7675	407	14	.	.	PUNCT
ap-7675	408	1	physical	physical	PROPN
ap-7675	408	2	review	review	PROPN
ap-7675	408	3	b	b	PROPN
ap-7675	408	4	78(4):045415	78(4):045415	NUM
ap-7675	408	5	,	,	PUNCT
ap-7675	408	6	2008	2008	NUM
ap-7675	408	7	.	.	PUNCT
ap-7675	409	1	https://doi.org/10.1103/physrevb.78.045415	https://doi.org/10.1103/physrevb.78.045415	PROPN
ap-7675	409	2	.	.	PUNCT
ap-7675	410	1	[	[	X
ap-7675	410	2	43	43	NUM
ap-7675	410	3	]	]	PUNCT
ap-7675	410	4	m.	m.	NOUN
ap-7675	410	5	o.	o.	PROPN
ap-7675	410	6	goerbig	goerbig	PROPN
ap-7675	410	7	,	,	PUNCT
ap-7675	410	8	j.-n	j.-n	PROPN
ap-7675	410	9	.	.	PUNCT
ap-7675	411	1	fuchs	fuchs	PROPN
ap-7675	411	2	,	,	PUNCT
ap-7675	411	3	g.	g.	PROPN
ap-7675	411	4	montambaux	montambaux	PROPN
ap-7675	411	5	,	,	PUNCT
ap-7675	411	6	f.	f.	PROPN
ap-7675	411	7	piéchon	piéchon	PROPN
ap-7675	411	8	.	.	PUNCT
ap-7675	412	1	electric	electric	NOUN
ap-7675	412	2	-	-	PUNCT
ap-7675	412	3	field	field	NOUN
ap-7675	412	4	–	–	PUNCT
ap-7675	412	5	induced	induced	ADJ
ap-7675	412	6	lifting	lifting	NOUN
ap-7675	412	7	of	of	ADP
ap-7675	412	8	the	the	DET
ap-7675	412	9	valley	valley	NOUN
ap-7675	412	10	degeneracy	degeneracy	NOUN
ap-7675	412	11	in	in	ADP
ap-7675	412	12	α-(bedt	α-(bedt	PROPN
ap-7675	412	13	-	-	PUNCT
ap-7675	412	14	ttf)2i3	ttf)2i3	VERB
ap-7675	412	15	dirac	dirac	NOUN
ap-7675	412	16	-	-	PUNCT
ap-7675	412	17	like	like	ADJ
ap-7675	412	18	landau	landau	NOUN
ap-7675	412	19	levels	level	NOUN
ap-7675	412	20	.	.	PUNCT
ap-7675	413	1	epl	epl	PROPN
ap-7675	413	2	europhysics	europhysics	PROPN
ap-7675	413	3	letters	letter	NOUN
ap-7675	413	4	85(5):57005	85(5):57005	NUM
ap-7675	413	5	,	,	PUNCT
ap-7675	413	6	2009	2009	NUM
ap-7675	413	7	.	.	PUNCT
ap-7675	414	1	https://doi.org/10.1209/0295-5075/85/57005	https://doi.org/10.1209/0295-5075/85/57005	PROPN
ap-7675	414	2	.	.	PUNCT
ap-7675	415	1	[	[	X
ap-7675	415	2	44	44	NUM
ap-7675	415	3	]	]	PUNCT
ap-7675	415	4	t.	t.	NOUN
ap-7675	415	5	morinari	morinari	PROPN
ap-7675	415	6	,	,	PUNCT
ap-7675	415	7	t.	t.	PROPN
ap-7675	415	8	himura	himura	PROPN
ap-7675	415	9	,	,	PUNCT
ap-7675	415	10	t.	t.	PROPN
ap-7675	415	11	tohyama	tohyama	NOUN
ap-7675	415	12	.	.	PUNCT
ap-7675	416	1	possible	possible	ADJ
ap-7675	416	2	verification	verification	NOUN
ap-7675	416	3	of	of	ADP
ap-7675	416	4	tilted	tilt	VERB
ap-7675	416	5	anisotropic	anisotropic	NOUN
ap-7675	416	6	dirac	dirac	NOUN
ap-7675	416	7	cone	cone	NOUN
ap-7675	416	8	in	in	ADP
ap-7675	416	9	α-(bedt	α-(bedt	NOUN
ap-7675	416	10	-	-	PUNCT
ap-7675	416	11	ttf)2i3	ttf)2i3	VERB
ap-7675	416	12	using	use	VERB
ap-7675	416	13	interlayer	interlayer	NOUN
ap-7675	416	14	magnetoresistance	magnetoresistance	NOUN
ap-7675	416	15	.	.	PUNCT
ap-7675	417	1	journal	journal	NOUN
ap-7675	417	2	of	of	ADP
ap-7675	417	3	the	the	DET
ap-7675	417	4	physical	physical	ADJ
ap-7675	417	5	society	society	NOUN
ap-7675	417	6	of	of	ADP
ap-7675	417	7	japan	japan	PROPN
ap-7675	417	8	78(2):023704	78(2):023704	NUM
ap-7675	417	9	,	,	PUNCT
ap-7675	417	10	2009	2009	NUM
ap-7675	417	11	.	.	PUNCT
ap-7675	418	1	https://doi.org/10.1143/jpsj.78.023704	https://doi.org/10.1143/jpsj.78.023704	NOUN
ap-7675	418	2	.	.	PUNCT
ap-7675	419	1	[	[	X
ap-7675	419	2	45	45	NUM
ap-7675	419	3	]	]	PUNCT
ap-7675	419	4	x.-f	x.-f	NOUN
ap-7675	419	5	.	.	PUNCT
ap-7675	420	1	zhou	zhou	PROPN
ap-7675	420	2	,	,	PUNCT
ap-7675	420	3	x.	x.	PROPN
ap-7675	420	4	dong	dong	PROPN
ap-7675	420	5	,	,	PUNCT
ap-7675	420	6	a.	a.	PROPN
ap-7675	420	7	r.	r.	PROPN
ap-7675	420	8	oganov	oganov	PROPN
ap-7675	420	9	,	,	PUNCT
ap-7675	420	10	et	et	PROPN
ap-7675	420	11	al	al	PROPN
ap-7675	420	12	.	.	PROPN
ap-7675	420	13	semimetallic	semimetallic	ADJ
ap-7675	420	14	two	two	NUM
ap-7675	420	15	-	-	PUNCT
ap-7675	420	16	dimensional	dimensional	ADJ
ap-7675	420	17	boron	boron	NOUN
ap-7675	420	18	allotrope	allotrope	NOUN
ap-7675	420	19	with	with	ADP
ap-7675	420	20	massless	massless	NOUN
ap-7675	420	21	dirac	dirac	NOUN
ap-7675	420	22	fermions	fermion	NOUN
ap-7675	420	23	.	.	PUNCT
ap-7675	421	1	physical	physical	ADJ
ap-7675	421	2	review	review	NOUN
ap-7675	421	3	letters	letter	NOUN
ap-7675	421	4	112(8):085502	112(8):085502	NUM
ap-7675	421	5	,	,	PUNCT
ap-7675	421	6	2014	2014	NUM
ap-7675	421	7	.	.	PUNCT
ap-7675	422	1	https://doi.org/10.1103/physrevlett.112.085502	https://doi.org/10.1103/physrevlett.112.085502	VERB
ap-7675	422	2	.	.	PUNCT
ap-7675	423	1	[	[	X
ap-7675	423	2	46	46	NUM
ap-7675	423	3	]	]	PUNCT
ap-7675	423	4	a.	a.	NOUN
ap-7675	423	5	j.	j.	PROPN
ap-7675	423	6	mannix	mannix	PROPN
ap-7675	423	7	,	,	PUNCT
ap-7675	423	8	x.-f	x.-f	PROPN
ap-7675	423	9	.	.	PUNCT
ap-7675	424	1	zhou	zhou	PROPN
ap-7675	424	2	,	,	PUNCT
ap-7675	424	3	b.	b.	PROPN
ap-7675	424	4	kiraly	kiraly	PROPN
ap-7675	424	5	,	,	PUNCT
ap-7675	424	6	et	et	PROPN
ap-7675	424	7	al	al	PROPN
ap-7675	424	8	.	.	PUNCT
ap-7675	424	9	synthesis	synthesis	NOUN
ap-7675	424	10	of	of	ADP
ap-7675	424	11	borophenes	borophene	NOUN
ap-7675	424	12	:	:	PUNCT
ap-7675	424	13	anisotropic	anisotropic	NOUN
ap-7675	424	14	,	,	PUNCT
ap-7675	424	15	two	two	NUM
ap-7675	424	16	-	-	PUNCT
ap-7675	424	17	dimensional	dimensional	ADJ
ap-7675	424	18	boron	boron	NOUN
ap-7675	424	19	polymorphs	polymorph	NOUN
ap-7675	424	20	.	.	PUNCT
ap-7675	425	1	science	science	PROPN
ap-7675	425	2	350(6267):1513–1516	350(6267):1513–1516	NUM
ap-7675	425	3	,	,	PUNCT
ap-7675	425	4	2015	2015	NUM
ap-7675	425	5	.	.	PUNCT
ap-7675	426	1	https://doi.org/10.1126/science.aad1080	https://doi.org/10.1126/science.aad1080	NOUN
ap-7675	426	2	.	.	PUNCT
ap-7675	427	1	[	[	X
ap-7675	427	2	47	47	NUM
ap-7675	427	3	]	]	PUNCT
ap-7675	427	4	b.	b.	PROPN
ap-7675	427	5	feng	feng	PROPN
ap-7675	427	6	,	,	PUNCT
ap-7675	427	7	j.	j.	PROPN
ap-7675	427	8	zhang	zhang	PROPN
ap-7675	427	9	,	,	PUNCT
ap-7675	427	10	q.	q.	PROPN
ap-7675	427	11	zhong	zhong	PROPN
ap-7675	427	12	,	,	PUNCT
ap-7675	427	13	et	et	PROPN
ap-7675	427	14	al	al	PROPN
ap-7675	427	15	.	.	PUNCT
ap-7675	427	16	experimental	experimental	ADJ
ap-7675	427	17	realization	realization	NOUN
ap-7675	427	18	of	of	ADP
ap-7675	427	19	two	two	NUM
ap-7675	427	20	-	-	PUNCT
ap-7675	427	21	dimensional	dimensional	ADJ
ap-7675	427	22	boron	boron	NOUN
ap-7675	427	23	sheets	sheet	NOUN
ap-7675	427	24	.	.	PUNCT
ap-7675	428	1	nature	nature	NOUN
ap-7675	428	2	chemistry	chemistry	PROPN
ap-7675	428	3	8(6):563–568	8(6):563–568	PROPN
ap-7675	428	4	,	,	PUNCT
ap-7675	428	5	2016	2016	NUM
ap-7675	428	6	.	.	PUNCT
ap-7675	429	1	https://doi.org/10.1038/nchem.2491	https://doi.org/10.1038/nchem.2491	NOUN
ap-7675	429	2	.	.	PUNCT
ap-7675	430	1	[	[	X
ap-7675	430	2	48	48	NUM
ap-7675	430	3	]	]	PUNCT
ap-7675	430	4	w.	w.	PROPN
ap-7675	430	5	li	li	PROPN
ap-7675	430	6	,	,	PUNCT
ap-7675	430	7	l.	l.	PROPN
ap-7675	430	8	kong	kong	PROPN
ap-7675	430	9	,	,	PUNCT
ap-7675	430	10	c.	c.	PROPN
ap-7675	430	11	chen	chen	PROPN
ap-7675	430	12	,	,	PUNCT
ap-7675	430	13	et	et	PROPN
ap-7675	430	14	al	al	PROPN
ap-7675	430	15	.	.	PUNCT
ap-7675	430	16	experimental	experimental	ADJ
ap-7675	430	17	realization	realization	NOUN
ap-7675	430	18	of	of	ADP
ap-7675	430	19	honeycomb	honeycomb	NOUN
ap-7675	430	20	borophene	borophene	NOUN
ap-7675	430	21	.	.	PUNCT
ap-7675	431	1	science	science	NOUN
ap-7675	431	2	bulletin	bulletin	NOUN
ap-7675	431	3	63(5):282–286	63(5):282–286	NUM
ap-7675	431	4	,	,	PUNCT
ap-7675	431	5	2018	2018	NUM
ap-7675	431	6	.	.	PUNCT
ap-7675	432	1	https://doi.org/10.1016/j.scib.2018.02.006	https://doi.org/10.1016/j.scib.2018.02.006	ADJ
ap-7675	432	2	.	.	PUNCT
ap-7675	433	1	[	[	X
ap-7675	433	2	49	49	NUM
ap-7675	433	3	]	]	PUNCT
ap-7675	433	4	z.-q	z.-q	PROPN
ap-7675	433	5	.	.	PUNCT
ap-7675	434	1	wang	wang	PROPN
ap-7675	434	2	,	,	PUNCT
ap-7675	434	3	t.-y	t.-y	NOUN
ap-7675	434	4	.	.	PUNCT
ap-7675	435	1	lü	lü	PROPN
ap-7675	435	2	,	,	PUNCT
ap-7675	435	3	h.-q	h.-q	PROPN
ap-7675	435	4	.	.	PUNCT
ap-7675	436	1	wang	wang	PROPN
ap-7675	436	2	,	,	PUNCT
ap-7675	436	3	et	et	PROPN
ap-7675	436	4	al	al	PROPN
ap-7675	436	5	.	.	PROPN
ap-7675	436	6	review	review	NOUN
ap-7675	436	7	of	of	ADP
ap-7675	436	8	borophene	borophene	NOUN
ap-7675	436	9	and	and	CCONJ
ap-7675	436	10	its	its	PRON
ap-7675	436	11	potential	potential	ADJ
ap-7675	436	12	applications	application	NOUN
ap-7675	436	13	.	.	PUNCT
ap-7675	437	1	frontiers	frontier	NOUN
ap-7675	437	2	of	of	ADP
ap-7675	437	3	physics	physics	NOUN
ap-7675	437	4	14(3):33403	14(3):33403	NUM
ap-7675	437	5	,	,	PUNCT
ap-7675	437	6	2019	2019	NUM
ap-7675	437	7	.	.	PUNCT
ap-7675	437	8	https://doi.org/10.1007/s11467-019-0884-5	https://doi.org/10.1007/s11467-019-0884-5	NUM
ap-7675	437	9	.	.	PUNCT
ap-7675	438	1	[	[	X
ap-7675	438	2	50	50	NUM
ap-7675	438	3	]	]	PUNCT
ap-7675	438	4	s.-h	s.-h	NOUN
ap-7675	438	5	.	.	PUNCT
ap-7675	439	1	zhang	zhang	PROPN
ap-7675	439	2	,	,	PUNCT
ap-7675	439	3	w.	w.	PROPN
ap-7675	439	4	yang	yang	PROPN
ap-7675	439	5	.	.	PROPN
ap-7675	440	1	oblique	oblique	PROPN
ap-7675	440	2	klein	klein	PROPN
ap-7675	440	3	tunneling	tunneling	PROPN
ap-7675	440	4	in	in	ADP
ap-7675	440	5	8	8	NUM
ap-7675	440	6	-	-	PUNCT
ap-7675	440	7	pmmn	pmmn	NOUN
ap-7675	440	8	borophene	borophene	NOUN
ap-7675	440	9	p−	p−	NOUN
ap-7675	440	10	n	n	PRON
ap-7675	440	11	junctions	junction	NOUN
ap-7675	440	12	.	.	PUNCT
ap-7675	441	1	physical	physical	ADJ
ap-7675	441	2	review	review	PROPN
ap-7675	441	3	b	b	PROPN
ap-7675	441	4	97(23):235440	97(23):235440	NUM
ap-7675	441	5	,	,	PUNCT
ap-7675	441	6	2018	2018	NUM
ap-7675	441	7	.	.	PUNCT
ap-7675	442	1	https://doi.org/10.1103/physrevb.97.235440	https://doi.org/10.1103/physrevb.97.235440	NOUN
ap-7675	442	2	.	.	PUNCT
ap-7675	443	1	[	[	X
ap-7675	443	2	51	51	NUM
ap-7675	443	3	]	]	PUNCT
ap-7675	443	4	s.-h	s.-h	NOUN
ap-7675	443	5	.	.	PUNCT
ap-7675	444	1	zhang	zhang	PROPN
ap-7675	444	2	,	,	PUNCT
ap-7675	444	3	w.	w.	PROPN
ap-7675	444	4	yang	yang	PROPN
ap-7675	444	5	.	.	PUNCT
ap-7675	444	6	anomalous	anomalous	ADJ
ap-7675	444	7	caustics	caustic	NOUN
ap-7675	444	8	and	and	CCONJ
ap-7675	444	9	veselago	veselago	NOUN
ap-7675	444	10	focusing	focus	VERB
ap-7675	444	11	in	in	ADP
ap-7675	444	12	8	8	NUM
ap-7675	444	13	-	-	PUNCT
ap-7675	444	14	pmmn	pmmn	NOUN
ap-7675	444	15	borophene	borophene	NOUN
ap-7675	444	16	p	p	NOUN
ap-7675	444	17	–	–	PUNCT
ap-7675	444	18	n	n	PRON
ap-7675	444	19	junctions	junction	NOUN
ap-7675	444	20	with	with	ADP
ap-7675	444	21	arbitrary	arbitrary	ADJ
ap-7675	444	22	junction	junction	NOUN
ap-7675	444	23	directions	direction	NOUN
ap-7675	444	24	.	.	PUNCT
ap-7675	445	1	new	new	ADJ
ap-7675	445	2	journal	journal	PROPN
ap-7675	445	3	of	of	ADP
ap-7675	445	4	physics	physics	PROPN
ap-7675	445	5	21(10):103052	21(10):103052	NUM
ap-7675	445	6	,	,	PUNCT
ap-7675	445	7	2019	2019	NUM
ap-7675	445	8	.	.	PUNCT
ap-7675	446	1	https://doi.org/10.1088/1367-2630/ab4d8f	https://doi.org/10.1088/1367-2630/ab4d8f	NOUN
ap-7675	446	2	.	.	PUNCT
ap-7675	447	1	[	[	X
ap-7675	447	2	52	52	NUM
ap-7675	447	3	]	]	X
ap-7675	447	4	n.	n.	PROPN
ap-7675	447	5	tajima	tajima	PROPN
ap-7675	447	6	,	,	PUNCT
ap-7675	447	7	k.	k.	PROPN
ap-7675	447	8	kajita	kajita	PROPN
ap-7675	447	9	.	.	PUNCT
ap-7675	448	1	experimental	experimental	ADJ
ap-7675	448	2	study	study	NOUN
ap-7675	448	3	of	of	ADP
ap-7675	448	4	organic	organic	ADJ
ap-7675	448	5	zero	zero	NUM
ap-7675	448	6	-	-	PUNCT
ap-7675	448	7	gap	gap	NOUN
ap-7675	448	8	conductor	conductor	NOUN
ap-7675	448	9	α-(bedt	α-(bedt	PROPN
ap-7675	448	10	-	-	PUNCT
ap-7675	448	11	ttf)2i3	ttf)2i3	NUM
ap-7675	448	12	.	.	PUNCT
ap-7675	449	1	science	science	NOUN
ap-7675	449	2	and	and	CCONJ
ap-7675	449	3	technology	technology	NOUN
ap-7675	449	4	of	of	ADP
ap-7675	449	5	advanced	advanced	ADJ
ap-7675	449	6	materials	material	NOUN
ap-7675	449	7	10(2):024308	10(2):024308	NUM
ap-7675	449	8	,	,	PUNCT
ap-7675	449	9	2009	2009	NUM
ap-7675	449	10	.	.	PUNCT
ap-7675	450	1	https://doi.org/10.1088/1468-6996/10/2/024308	https://doi.org/10.1088/1468-6996/10/2/024308	PROPN
ap-7675	450	2	.	.	PUNCT
ap-7675	451	1	[	[	X
ap-7675	451	2	53	53	NUM
ap-7675	451	3	]	]	X
ap-7675	451	4	n.	n.	PROPN
ap-7675	451	5	p.	p.	PROPN
ap-7675	451	6	armitage	armitage	PROPN
ap-7675	451	7	,	,	PUNCT
ap-7675	451	8	e.	e.	PROPN
ap-7675	451	9	j.	j.	PROPN
ap-7675	451	10	mele	mele	PROPN
ap-7675	451	11	,	,	PUNCT
ap-7675	451	12	a.	a.	PROPN
ap-7675	451	13	vishwanath	vishwanath	PROPN
ap-7675	451	14	.	.	PUNCT
ap-7675	452	1	weyl	weyl	PROPN
ap-7675	452	2	and	and	CCONJ
ap-7675	452	3	dirac	dirac	NOUN
ap-7675	452	4	semimetals	semimetal	NOUN
ap-7675	452	5	in	in	ADP
ap-7675	452	6	three	three	NUM
ap-7675	452	7	-	-	PUNCT
ap-7675	452	8	dimensional	dimensional	ADJ
ap-7675	452	9	solids	solid	NOUN
ap-7675	452	10	.	.	PUNCT
ap-7675	453	1	reviews	review	NOUN
ap-7675	453	2	of	of	ADP
ap-7675	453	3	modern	modern	ADJ
ap-7675	453	4	physics	physic	NOUN
ap-7675	453	5	90(1):015001	90(1):015001	NUM
ap-7675	453	6	,	,	PUNCT
ap-7675	453	7	2018	2018	NUM
ap-7675	453	8	.	.	PUNCT
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ap-7675	460	8	.	.	PUNCT
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ap-7675	461	6	,	,	PUNCT
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ap-7675	461	8	.	.	PUNCT
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ap-7675	464	3	,	,	PUNCT
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ap-7675	464	5	.	.	PUNCT
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ap-7675	470	6	-	-	PUNCT
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ap-7675	471	4	,	,	PUNCT
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ap-7675	471	6	.	.	PUNCT
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ap-7675	472	2	.	.	PUNCT
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ap-7675	473	20	.	.	PUNCT
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ap-7675	474	13	.	.	PUNCT
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ap-7675	475	10	.	.	PUNCT
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ap-7675	479	7	.	.	PUNCT
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ap-7675	483	7	.	.	PUNCT
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ap-7675	487	5	,	,	PUNCT
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ap-7675	487	7	.	.	PUNCT
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ap-7675	491	5	,	,	PUNCT
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ap-7675	491	7	.	.	PUNCT
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ap-7675	494	7	of	of	ADP
ap-7675	494	8	graphene	graphene	NOUN
ap-7675	494	9	.	.	PUNCT
ap-7675	495	1	physical	physical	PROPN
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ap-7675	495	3	b	b	PROPN
ap-7675	495	4	81(3):035411	81(3):035411	PROPN
ap-7675	495	5	,	,	PUNCT
ap-7675	495	6	2010	2010	NUM
ap-7675	495	7	.	.	PUNCT
ap-7675	496	1	https://doi.org/10.1103/physrevb.81.035411	https://doi.org/10.1103/physrevb.81.035411	NOUN
ap-7675	496	2	.	.	PUNCT
ap-7675	497	1	[	[	X
ap-7675	497	2	64	64	NUM
ap-7675	497	3	]	]	PUNCT
ap-7675	497	4	h.	h.	PROPN
ap-7675	497	5	rostami	rostami	PROPN
ap-7675	497	6	,	,	PUNCT
ap-7675	497	7	r.	r.	PROPN
ap-7675	497	8	asgari	asgari	PROPN
ap-7675	497	9	.	.	PUNCT
ap-7675	498	1	electronic	electronic	ADJ
ap-7675	498	2	ground	ground	NOUN
ap-7675	498	3	-	-	PUNCT
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ap-7675	498	5	properties	property	NOUN
ap-7675	498	6	of	of	ADP
ap-7675	498	7	strained	strained	ADJ
ap-7675	498	8	graphene	graphene	NOUN
ap-7675	498	9	.	.	PUNCT
ap-7675	499	1	physical	physical	PROPN
ap-7675	499	2	review	review	PROPN
ap-7675	499	3	b	b	PROPN
ap-7675	499	4	86(15):155435	86(15):155435	NUM
ap-7675	499	5	,	,	PUNCT
ap-7675	499	6	2012	2012	NUM
ap-7675	499	7	.	.	PUNCT
ap-7675	500	1	https://doi.org/10.1103/physrevb.86.155435	https://doi.org/10.1103/physrevb.86.155435	PROPN
ap-7675	500	2	.	.	PUNCT
ap-7675	501	1	[	[	X
ap-7675	501	2	65	65	NUM
ap-7675	501	3	]	]	X
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ap-7675	501	5	barraza	barraza	PROPN
ap-7675	501	6	-	-	PUNCT
ap-7675	501	7	lopez	lopez	PROPN
ap-7675	501	8	,	,	PUNCT
ap-7675	501	9	a.	a.	NOUN
ap-7675	501	10	a.	a.	PROPN
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ap-7675	501	12	sanjuan	sanjuan	PROPN
ap-7675	501	13	,	,	PUNCT
ap-7675	501	14	z.	z.	PROPN
ap-7675	501	15	wang	wang	PROPN
ap-7675	501	16	,	,	PUNCT
ap-7675	501	17	m.	m.	NOUN
ap-7675	501	18	vanević	vanević	PROPN
ap-7675	501	19	.	.	PUNCT
ap-7675	502	1	strain	strain	NOUN
ap-7675	502	2	-	-	PUNCT
ap-7675	502	3	engineering	engineering	NOUN
ap-7675	502	4	of	of	ADP
ap-7675	502	5	graphene	graphene	NOUN
ap-7675	502	6	’s	’s	PART
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ap-7675	502	8	structure	structure	NOUN
ap-7675	502	9	beyond	beyond	ADP
ap-7675	502	10	continuum	continuum	ADJ
ap-7675	502	11	elasticity	elasticity	NOUN
ap-7675	502	12	.	.	PUNCT
ap-7675	503	1	solid	solid	ADJ
ap-7675	503	2	state	state	NOUN
ap-7675	503	3	communications	communication	NOUN
ap-7675	503	4	166:70–75	166:70–75	NUM
ap-7675	503	5	,	,	PUNCT
ap-7675	503	6	2013	2013	NUM
ap-7675	503	7	.	.	PUNCT
ap-7675	504	1	https://doi.org/10.1016/j.ssc.2013.05.002	https://doi.org/10.1016/j.ssc.2013.05.002	NOUN
ap-7675	504	2	.	.	PUNCT
ap-7675	505	1	[	[	X
ap-7675	505	2	66	66	NUM
ap-7675	505	3	]	]	X
ap-7675	505	4	g.	g.	PROPN
ap-7675	505	5	g.	g.	PROPN
ap-7675	505	6	naumis	naumis	PROPN
ap-7675	505	7	,	,	PUNCT
ap-7675	505	8	s.	s.	PROPN
ap-7675	505	9	barraza	barraza	PROPN
ap-7675	505	10	-	-	PUNCT
ap-7675	505	11	lopez	lopez	PROPN
ap-7675	505	12	,	,	PUNCT
ap-7675	505	13	m.	m.	NOUN
ap-7675	505	14	oliva	oliva	PROPN
ap-7675	505	15	-	-	PUNCT
ap-7675	505	16	leyva	leyva	PROPN
ap-7675	505	17	,	,	PUNCT
ap-7675	505	18	h.	h.	PROPN
ap-7675	505	19	terrones	terrones	PROPN
ap-7675	505	20	.	.	PUNCT
ap-7675	506	1	electronic	electronic	ADJ
ap-7675	506	2	and	and	CCONJ
ap-7675	506	3	optical	optical	ADJ
ap-7675	506	4	properties	property	NOUN
ap-7675	506	5	of	of	ADP
ap-7675	506	6	strained	strained	ADJ
ap-7675	506	7	graphene	graphene	NOUN
ap-7675	506	8	and	and	CCONJ
ap-7675	506	9	other	other	ADJ
ap-7675	506	10	strained	strained	ADJ
ap-7675	506	11	2d	2d	NUM
ap-7675	506	12	materials	material	NOUN
ap-7675	506	13	:	:	PUNCT
ap-7675	506	14	a	a	DET
ap-7675	506	15	review	review	NOUN
ap-7675	506	16	.	.	PUNCT
ap-7675	507	1	reports	report	NOUN
ap-7675	507	2	on	on	ADP
ap-7675	507	3	progress	progress	NOUN
ap-7675	507	4	in	in	ADP
ap-7675	507	5	physics	physics	NOUN
ap-7675	507	6	80(9):096501	80(9):096501	NUM
ap-7675	507	7	,	,	PUNCT
ap-7675	507	8	2017	2017	NUM
ap-7675	507	9	.	.	PUNCT
ap-7675	508	1	https://doi.org/10.1088/1361-6633/aa74ef	https://doi.org/10.1088/1361-6633/aa74ef	X
ap-7675	508	2	.	.	PUNCT
ap-7675	509	1	[	[	X
ap-7675	509	2	67	67	NUM
ap-7675	509	3	]	]	X
ap-7675	509	4	d.-n	d.-n	PROPN
ap-7675	509	5	.	.	PUNCT
ap-7675	510	1	le	le	PROPN
ap-7675	510	2	,	,	PUNCT
ap-7675	510	3	v.-h	v.-h	PROPN
ap-7675	510	4	.	.	PUNCT
ap-7675	511	1	le	le	X
ap-7675	511	2	,	,	PUNCT
ap-7675	511	3	p.	p.	PROPN
ap-7675	511	4	roy	roy	PROPN
ap-7675	511	5	.	.	PROPN
ap-7675	511	6	graphene	graphene	VERB
ap-7675	511	7	under	under	ADP
ap-7675	511	8	uniaxial	uniaxial	ADJ
ap-7675	511	9	inhomogeneous	inhomogeneous	ADJ
ap-7675	511	10	strain	strain	NOUN
ap-7675	511	11	and	and	CCONJ
ap-7675	511	12	an	an	DET
ap-7675	511	13	external	external	ADJ
ap-7675	511	14	electric	electric	ADJ
ap-7675	511	15	field	field	NOUN
ap-7675	511	16	:	:	PUNCT
ap-7675	511	17	landau	landau	NOUN
ap-7675	511	18	levels	level	NOUN
ap-7675	511	19	,	,	PUNCT
ap-7675	511	20	electronic	electronic	ADJ
ap-7675	511	21	,	,	PUNCT
ap-7675	511	22	magnetic	magnetic	ADJ
ap-7675	511	23	and	and	CCONJ
ap-7675	511	24	optical	optical	ADJ
ap-7675	511	25	properties	property	NOUN
ap-7675	511	26	.	.	PUNCT
ap-7675	512	1	the	the	DET
ap-7675	512	2	european	european	PROPN
ap-7675	512	3	physical	physical	PROPN
ap-7675	512	4	journal	journal	PROPN
ap-7675	512	5	b	b	PROPN
ap-7675	512	6	93(8):158	93(8):158	NUM
ap-7675	512	7	,	,	PUNCT
ap-7675	512	8	2020	2020	NUM
ap-7675	512	9	.	.	PUNCT
ap-7675	512	10	https://doi.org/10.1140/epjb/e2020-10222-3	https://doi.org/10.1140/epjb/e2020-10222-3	X
ap-7675	512	11	.	.	PUNCT
ap-7675	513	1	[	[	X
ap-7675	513	2	68	68	NUM
ap-7675	513	3	]	]	PUNCT
ap-7675	513	4	s.	s.	PROPN
ap-7675	513	5	m.	m.	PROPN
ap-7675	513	6	cunha	cunha	PROPN
ap-7675	513	7	,	,	PUNCT
ap-7675	513	8	d.	d.	PROPN
ap-7675	513	9	r.	r.	PROPN
ap-7675	513	10	da	da	PROPN
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ap-7675	513	12	,	,	PUNCT
ap-7675	513	13	l.	l.	PROPN
ap-7675	513	14	c.	c.	PROPN
ap-7675	513	15	felix	felix	PROPN
ap-7675	513	16	,	,	PUNCT
ap-7675	513	17	et	et	PROPN
ap-7675	513	18	al	al	PROPN
ap-7675	513	19	.	.	PROPN
ap-7675	513	20	electronic	electronic	ADJ
ap-7675	513	21	and	and	CCONJ
ap-7675	513	22	transport	transport	NOUN
ap-7675	513	23	properties	property	NOUN
ap-7675	513	24	of	of	ADP
ap-7675	513	25	anisotropic	anisotropic	NOUN
ap-7675	513	26	semiconductor	semiconductor	NOUN
ap-7675	513	27	quantum	quantum	NOUN
ap-7675	513	28	wires	wire	NOUN
ap-7675	513	29	.	.	PUNCT
ap-7675	514	1	physical	physical	PROPN
ap-7675	514	2	review	review	PROPN
ap-7675	514	3	b	b	NOUN
ap-7675	514	4	102(4):045427	102(4):045427	NUM
ap-7675	514	5	,	,	PUNCT
ap-7675	514	6	2020	2020	NUM
ap-7675	514	7	.	.	PUNCT
ap-7675	515	1	https://doi.org/10.1103/physrevb.102.045427	https://doi.org/10.1103/physrevb.102.045427	VERB
ap-7675	515	2	.	.	PUNCT
ap-7675	516	1	[	[	X
ap-7675	516	2	69	69	NUM
ap-7675	516	3	]	]	PUNCT
ap-7675	516	4	t.	t.	NOUN
ap-7675	516	5	stegmann	stegmann	PROPN
ap-7675	516	6	,	,	PUNCT
ap-7675	516	7	n.	n.	NOUN
ap-7675	516	8	szpak	szpak	NOUN
ap-7675	516	9	.	.	PUNCT
ap-7675	517	1	current	current	ADJ
ap-7675	517	2	flow	flow	NOUN
ap-7675	517	3	paths	path	NOUN
ap-7675	517	4	in	in	ADP
ap-7675	517	5	deformed	deform	VERB
ap-7675	517	6	graphene	graphene	NOUN
ap-7675	517	7	:	:	PUNCT
ap-7675	517	8	from	from	ADP
ap-7675	517	9	quantum	quantum	ADJ
ap-7675	517	10	transport	transport	NOUN
ap-7675	517	11	to	to	ADP
ap-7675	517	12	classical	classical	ADJ
ap-7675	517	13	trajectories	trajectory	NOUN
ap-7675	517	14	in	in	ADP
ap-7675	517	15	curved	curved	ADJ
ap-7675	517	16	space	space	NOUN
ap-7675	517	17	.	.	PUNCT
ap-7675	518	1	new	new	ADJ
ap-7675	518	2	journal	journal	PROPN
ap-7675	518	3	of	of	ADP
ap-7675	518	4	physics	physics	PROPN
ap-7675	518	5	18(5):053016	18(5):053016	NUM
ap-7675	518	6	,	,	PUNCT
ap-7675	518	7	2016	2016	NUM
ap-7675	518	8	.	.	PUNCT
ap-7675	519	1	https://doi.org/10.1088/1367-2630/18/5/053016	https://doi.org/10.1088/1367-2630/18/5/053016	PROPN
ap-7675	519	2	.	.	PUNCT
ap-7675	520	1	[	[	X
ap-7675	520	2	70	70	X
ap-7675	520	3	]	]	X
ap-7675	520	4	t.	t.	NOUN
ap-7675	520	5	stegmann	stegmann	PROPN
ap-7675	520	6	,	,	PUNCT
ap-7675	520	7	n.	n.	NOUN
ap-7675	520	8	szpak	szpak	NOUN
ap-7675	520	9	.	.	PUNCT
ap-7675	521	1	current	current	ADJ
ap-7675	521	2	splitting	splitting	NOUN
ap-7675	521	3	and	and	CCONJ
ap-7675	521	4	valley	valley	NOUN
ap-7675	521	5	polarization	polarization	NOUN
ap-7675	521	6	in	in	ADP
ap-7675	521	7	elastically	elastically	ADV
ap-7675	521	8	deformed	deform	VERB
ap-7675	521	9	graphene	graphene	NOUN
ap-7675	521	10	.	.	PUNCT
ap-7675	522	1	2d	2d	NOUN
ap-7675	522	2	materials	material	NOUN
ap-7675	522	3	6(1):015024	6(1):015024	NOUN
ap-7675	522	4	,	,	PUNCT
ap-7675	522	5	2019	2019	NUM
ap-7675	522	6	.	.	PUNCT
ap-7675	523	1	https://doi.org/10.1088/2053-1583/aaea8d	https://doi.org/10.1088/2053-1583/aaea8d	NOUN
ap-7675	523	2	.	.	PUNCT
ap-7675	524	1	[	[	X
ap-7675	524	2	71	71	NUM
ap-7675	524	3	]	]	X
ap-7675	524	4	y.	y.	PROPN
ap-7675	524	5	betancur	betancur	PROPN
ap-7675	524	6	-	-	PUNCT
ap-7675	524	7	ocampo	ocampo	VERB
ap-7675	524	8	.	.	PUNCT
ap-7675	525	1	partial	partial	ADJ
ap-7675	525	2	positive	positive	ADJ
ap-7675	525	3	refraction	refraction	NOUN
ap-7675	525	4	in	in	ADP
ap-7675	525	5	asymmetric	asymmetric	ADJ
ap-7675	525	6	veselago	veselago	PROPN
ap-7675	525	7	lenses	lense	NOUN
ap-7675	525	8	of	of	ADP
ap-7675	525	9	uniaxially	uniaxially	ADV
ap-7675	525	10	strained	strain	VERB
ap-7675	525	11	graphene	graphene	NOUN
ap-7675	525	12	.	.	PUNCT
ap-7675	526	1	physical	physical	PROPN
ap-7675	526	2	review	review	PROPN
ap-7675	526	3	b	b	PROPN
ap-7675	526	4	98(20):205421	98(20):205421	PROPN
ap-7675	526	5	,	,	PUNCT
ap-7675	526	6	2018	2018	NUM
ap-7675	526	7	.	.	PUNCT
ap-7675	527	1	https://doi.org/10.1103/physrevb.98.205421	https://doi.org/10.1103/physrevb.98.205421	NOUN
ap-7675	527	2	.	.	PUNCT
ap-7675	528	1	[	[	X
ap-7675	528	2	72	72	NUM
ap-7675	528	3	]	]	X
ap-7675	528	4	y.	y.	PROPN
ap-7675	528	5	betancur	betancur	NOUN
ap-7675	528	6	-	-	PUNCT
ap-7675	528	7	ocampo	ocampo	VERB
ap-7675	528	8	,	,	PUNCT
ap-7675	528	9	p.	p.	PROPN
ap-7675	528	10	majari	majari	PROPN
ap-7675	528	11	,	,	PUNCT
ap-7675	528	12	d.	d.	PROPN
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ap-7675	528	14	,	,	PUNCT
ap-7675	528	15	et	et	PROPN
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ap-7675	528	17	.	.	PUNCT
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ap-7675	529	4	in	in	ADP
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ap-7675	529	7	graphene	graphene	NOUN
ap-7675	529	8	.	.	PUNCT
ap-7675	530	1	physical	physical	PROPN
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ap-7675	530	5	,	,	PUNCT
ap-7675	530	6	2021	2021	NUM
ap-7675	530	7	.	.	PUNCT
ap-7675	531	1	https://doi.org/10.1103/physrevb.103.155433	https://doi.org/10.1103/physrevb.103.155433	NOUN
ap-7675	531	2	.	.	PUNCT
ap-7675	532	1	[	[	X
ap-7675	532	2	73	73	NUM
ap-7675	532	3	]	]	PUNCT
ap-7675	532	4	t.	t.	PROPN
ap-7675	532	5	cheng	cheng	PROPN
ap-7675	532	6	,	,	PUNCT
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ap-7675	532	8	lang	lang	PROPN
ap-7675	532	9	,	,	PUNCT
ap-7675	532	10	z.	z.	PROPN
ap-7675	532	11	li	li	PROPN
ap-7675	532	12	,	,	PUNCT
ap-7675	532	13	et	et	PROPN
ap-7675	532	14	al	al	PROPN
ap-7675	532	15	.	.	PUNCT
ap-7675	532	16	anisotropic	anisotropic	NOUN
ap-7675	532	17	carrier	carrier	NOUN
ap-7675	532	18	mobility	mobility	NOUN
ap-7675	532	19	in	in	ADP
ap-7675	532	20	two	two	NUM
ap-7675	532	21	-	-	PUNCT
ap-7675	532	22	dimensional	dimensional	ADJ
ap-7675	532	23	materials	material	NOUN
ap-7675	532	24	with	with	ADP
ap-7675	532	25	tilted	tilted	ADJ
ap-7675	532	26	dirac	dirac	NOUN
ap-7675	532	27	cones	cone	NOUN
ap-7675	532	28	:	:	PUNCT
ap-7675	532	29	theory	theory	NOUN
ap-7675	532	30	and	and	CCONJ
ap-7675	532	31	application	application	NOUN
ap-7675	532	32	.	.	PUNCT
ap-7675	533	1	physical	physical	ADJ
ap-7675	533	2	chemistry	chemistry	NOUN
ap-7675	533	3	chemical	chemical	PROPN
ap-7675	533	4	physics	physics	PROPN
ap-7675	533	5	19:23942–23950	19:23942–23950	NUM
ap-7675	533	6	,	,	PUNCT
ap-7675	533	7	2017	2017	NUM
ap-7675	533	8	.	.	PUNCT
ap-7675	534	1	https://doi.org/10.1039/c7cp03736h	https://doi.org/10.1039/c7cp03736h	NOUN
ap-7675	534	2	.	.	PUNCT
ap-7675	535	1	[	[	X
ap-7675	535	2	74	74	NUM
ap-7675	535	3	]	]	PUNCT
ap-7675	535	4	b.	b.	PROPN
ap-7675	535	5	feng	feng	PROPN
ap-7675	535	6	,	,	PUNCT
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ap-7675	535	9	,	,	PUNCT
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ap-7675	535	11	.	.	PUNCT
ap-7675	536	1	liu	liu	PROPN
ap-7675	536	2	,	,	PUNCT
ap-7675	536	3	et	et	PROPN
ap-7675	536	4	al	al	PROPN
ap-7675	536	5	.	.	PUNCT
ap-7675	537	1	direct	direct	ADJ
ap-7675	537	2	evidence	evidence	NOUN
ap-7675	537	3	of	of	ADP
ap-7675	537	4	metallic	metallic	ADJ
ap-7675	537	5	bands	band	NOUN
ap-7675	537	6	in	in	ADP
ap-7675	537	7	a	a	DET
ap-7675	537	8	monolayer	monolayer	NOUN
ap-7675	537	9	boron	boron	NOUN
ap-7675	537	10	sheet	sheet	NOUN
ap-7675	537	11	.	.	PUNCT
ap-7675	538	1	physical	physical	PROPN
ap-7675	538	2	review	review	PROPN
ap-7675	538	3	b	b	PROPN
ap-7675	538	4	94:041408	94:041408	NUM
ap-7675	538	5	,	,	PUNCT
ap-7675	538	6	2016	2016	NUM
ap-7675	538	7	.	.	PUNCT
ap-7675	539	1	https://doi.org/10.1103/physrevb.94.041408	https://doi.org/10.1103/physrevb.94.041408	PROPN
ap-7675	539	2	.	.	PUNCT
ap-7675	540	1	[	[	X
ap-7675	540	2	75	75	NUM
ap-7675	540	3	]	]	X
ap-7675	540	4	y.	y.	PROPN
ap-7675	540	5	zhao	zhao	PROPN
ap-7675	540	6	,	,	PUNCT
ap-7675	540	7	x.	x.	PROPN
ap-7675	540	8	li	li	PROPN
ap-7675	540	9	,	,	PUNCT
ap-7675	540	10	j.	j.	PROPN
ap-7675	540	11	liu	liu	PROPN
ap-7675	540	12	,	,	PUNCT
ap-7675	540	13	et	et	PROPN
ap-7675	540	14	al	al	PROPN
ap-7675	540	15	.	.	PUNCT
ap-7675	541	1	a	a	DET
ap-7675	541	2	new	new	ADJ
ap-7675	541	3	anisotropic	anisotropic	NOUN
ap-7675	541	4	dirac	dirac	NOUN
ap-7675	541	5	cone	cone	NOUN
ap-7675	541	6	material	material	NOUN
ap-7675	541	7	:	:	PUNCT
ap-7675	541	8	a	a	DET
ap-7675	541	9	b2s	b2s	PROPN
ap-7675	541	10	honeycomb	honeycomb	NOUN
ap-7675	541	11	monolayer	monolayer	NOUN
ap-7675	541	12	.	.	PUNCT
ap-7675	542	1	the	the	DET
ap-7675	542	2	journal	journal	PROPN
ap-7675	542	3	of	of	ADP
ap-7675	542	4	physical	physical	ADJ
ap-7675	542	5	chemistry	chemistry	NOUN
ap-7675	542	6	letters	letter	NOUN
ap-7675	542	7	9(7):1815–1820	9(7):1815–1820	NUM
ap-7675	542	8	,	,	PUNCT
ap-7675	542	9	2018	2018	NUM
ap-7675	542	10	.	.	PUNCT
ap-7675	543	1	https://doi.org/10.1021/acs.jpclett.8b00616	https://doi.org/10.1021/acs.jpclett.8b00616	X
ap-7675	543	2	.	.	PUNCT
ap-7675	544	1	[	[	X
ap-7675	544	2	76	76	NUM
ap-7675	544	3	]	]	X
ap-7675	544	4	d.	d.	PROPN
ap-7675	544	5	ferraro	ferraro	PROPN
ap-7675	544	6	,	,	PUNCT
ap-7675	544	7	b.	b.	PROPN
ap-7675	544	8	roussel	roussel	PROPN
ap-7675	544	9	,	,	PUNCT
ap-7675	544	10	c.	c.	PROPN
ap-7675	544	11	cabart	cabart	PROPN
ap-7675	544	12	,	,	PUNCT
ap-7675	544	13	et	et	PROPN
ap-7675	544	14	al	al	PROPN
ap-7675	544	15	.	.	PUNCT
ap-7675	545	1	real	real	ADJ
ap-7675	545	2	-	-	PUNCT
ap-7675	545	3	time	time	NOUN
ap-7675	545	4	decoherence	decoherence	NOUN
ap-7675	545	5	of	of	ADP
ap-7675	545	6	landau	landau	NOUN
ap-7675	545	7	and	and	CCONJ
ap-7675	545	8	levitov	levitov	ADJ
ap-7675	545	9	quasiparticles	quasiparticle	NOUN
ap-7675	545	10	in	in	ADP
ap-7675	545	11	quantum	quantum	ADJ
ap-7675	545	12	hall	hall	NOUN
ap-7675	545	13	edge	edge	NOUN
ap-7675	545	14	channels	channel	NOUN
ap-7675	545	15	.	.	PUNCT
ap-7675	546	1	physical	physical	ADJ
ap-7675	546	2	review	review	NOUN
ap-7675	546	3	letters	letter	VERB
ap-7675	546	4	113(16):166403	113(16):166403	NOUN
ap-7675	546	5	,	,	PUNCT
ap-7675	546	6	2014	2014	NUM
ap-7675	546	7	.	.	PUNCT
ap-7675	547	1	https://doi.org/10.1103/physrevlett.113.166403	https://doi.org/10.1103/physrevlett.113.166403	X
ap-7675	547	2	.	.	PUNCT
ap-7675	548	1	[	[	X
ap-7675	548	2	77	77	X
ap-7675	548	3	]	]	PUNCT
ap-7675	548	4	t.	t.	NOUN
ap-7675	548	5	jullien	jullien	PROPN
ap-7675	548	6	,	,	PUNCT
ap-7675	548	7	p.	p.	PROPN
ap-7675	548	8	roulleau	roulleau	PROPN
ap-7675	548	9	,	,	PUNCT
ap-7675	548	10	b.	b.	PROPN
ap-7675	548	11	roche	roche	PROPN
ap-7675	548	12	,	,	PUNCT
ap-7675	548	13	et	et	PROPN
ap-7675	548	14	al	al	PROPN
ap-7675	548	15	.	.	PUNCT
ap-7675	548	16	quantum	quantum	PROPN
ap-7675	548	17	tomography	tomography	NOUN
ap-7675	548	18	of	of	ADP
ap-7675	548	19	an	an	DET
ap-7675	548	20	electron	electron	NOUN
ap-7675	548	21	.	.	PUNCT
ap-7675	549	1	nature	nature	PROPN
ap-7675	549	2	514(7524):603–607	514(7524):603–607	NUM
ap-7675	549	3	,	,	PUNCT
ap-7675	549	4	2014	2014	NUM
ap-7675	549	5	.	.	PUNCT
ap-7675	550	1	https://doi.org/10.1038/nature13821	https://doi.org/10.1038/nature13821	NOUN
ap-7675	550	2	.	.	PUNCT
ap-7675	551	1	[	[	X
ap-7675	551	2	78	78	NUM
ap-7675	551	3	]	]	PUNCT
ap-7675	551	4	j.	j.	PROPN
ap-7675	551	5	oertel	oertel	PROPN
ap-7675	551	6	.	.	PUNCT
ap-7675	552	1	solutions	solution	NOUN
ap-7675	552	2	of	of	ADP
ap-7675	552	3	the	the	DET
ap-7675	552	4	dirac	dirac	NOUN
ap-7675	552	5	equation	equation	NOUN
ap-7675	552	6	in	in	ADP
ap-7675	552	7	spacetime	spacetime	NOUN
ap-7675	552	8	-	-	PUNCT
ap-7675	552	9	dependent	dependent	ADJ
ap-7675	552	10	electric	electric	ADJ
ap-7675	552	11	fields	field	NOUN
ap-7675	552	12	.	.	PUNCT
ap-7675	553	1	master	master	NOUN
ap-7675	553	2	’s	’s	PART
ap-7675	553	3	thesis	thesis	NOUN
ap-7675	553	4	,	,	PUNCT
ap-7675	553	5	university	university	NOUN
ap-7675	553	6	of	of	ADP
ap-7675	553	7	duisburg	duisburg	PROPN
ap-7675	553	8	-	-	PUNCT
ap-7675	553	9	essen	essen	NOUN
ap-7675	553	10	,	,	PUNCT
ap-7675	553	11	freiberg	freiberg	PROPN
ap-7675	553	12	,	,	PUNCT
ap-7675	553	13	germany	germany	PROPN
ap-7675	553	14	,	,	PUNCT
ap-7675	553	15	2014	2014	NUM
ap-7675	553	16	.	.	PUNCT
ap-7675	554	1	[	[	X
ap-7675	554	2	79	79	NUM
ap-7675	554	3	]	]	PUNCT
ap-7675	554	4	m.	m.	PROPN
ap-7675	554	5	castillo	castillo	PROPN
ap-7675	554	6	-	-	PUNCT
ap-7675	554	7	celeita	celeita	PROPN
ap-7675	554	8	,	,	PUNCT
ap-7675	554	9	e.	e.	PROPN
ap-7675	554	10	díaz	díaz	PROPN
ap-7675	554	11	-	-	PUNCT
ap-7675	554	12	bautista	bautista	PROPN
ap-7675	554	13	,	,	PUNCT
ap-7675	554	14	m.	m.	NOUN
ap-7675	554	15	oliva	oliva	PROPN
ap-7675	554	16	-	-	PUNCT
ap-7675	554	17	leyva	leyva	PROPN
ap-7675	554	18	.	.	PUNCT
ap-7675	555	1	coherent	coherent	ADJ
ap-7675	555	2	states	state	NOUN
ap-7675	555	3	for	for	ADP
ap-7675	555	4	graphene	graphene	NOUN
ap-7675	555	5	under	under	ADP
ap-7675	555	6	the	the	DET
ap-7675	555	7	interaction	interaction	NOUN
ap-7675	555	8	of	of	ADP
ap-7675	555	9	crossed	cross	VERB
ap-7675	555	10	electric	electric	ADJ
ap-7675	555	11	and	and	CCONJ
ap-7675	555	12	magnetic	magnetic	ADJ
ap-7675	555	13	fields	field	NOUN
ap-7675	555	14	.	.	PUNCT
ap-7675	556	1	annals	annal	NOUN
ap-7675	556	2	of	of	ADP
ap-7675	556	3	physics	physics	NOUN
ap-7675	556	4	421:168287	421:168287	PROPN
ap-7675	556	5	,	,	PUNCT
ap-7675	556	6	2020	2020	NUM
ap-7675	556	7	.	.	PUNCT
ap-7675	557	1	https://doi.org/10.1016/j.aop.2020.168287	https://doi.org/10.1016/j.aop.2020.168287	PROPN
ap-7675	557	2	.	.	PUNCT
ap-7675	558	1	[	[	X
ap-7675	558	2	80	80	NUM
ap-7675	558	3	]	]	PUNCT
ap-7675	558	4	v.	v.	CCONJ
ap-7675	558	5	lukose	lukose	PROPN
ap-7675	558	6	,	,	PUNCT
ap-7675	558	7	r.	r.	PROPN
ap-7675	558	8	shankar	shankar	PROPN
ap-7675	558	9	,	,	PUNCT
ap-7675	559	1	g.	g.	PROPN
ap-7675	559	2	baskaran	baskaran	PROPN
ap-7675	559	3	.	.	PUNCT
ap-7675	560	1	novel	novel	ADJ
ap-7675	560	2	electric	electric	ADJ
ap-7675	560	3	field	field	NOUN
ap-7675	560	4	effects	effect	NOUN
ap-7675	560	5	on	on	ADP
ap-7675	560	6	landau	landau	NOUN
ap-7675	560	7	levels	level	NOUN
ap-7675	560	8	in	in	ADP
ap-7675	560	9	graphene	graphene	NOUN
ap-7675	560	10	.	.	PUNCT
ap-7675	561	1	physical	physical	ADJ
ap-7675	561	2	review	review	NOUN
ap-7675	561	3	letters	letter	NOUN
ap-7675	561	4	98(11):116802	98(11):116802	NUM
ap-7675	561	5	,	,	PUNCT
ap-7675	561	6	2007	2007	NUM
ap-7675	561	7	.	.	PUNCT
ap-7675	562	1	https://doi.org/10.1103/physrevlett.98.116802	https://doi.org/10.1103/physrevlett.98.116802	NOUN
ap-7675	562	2	.	.	PUNCT
ap-7675	563	1	[	[	X
ap-7675	563	2	81	81	NUM
ap-7675	563	3	]	]	X
ap-7675	563	4	n.	n.	PROPN
ap-7675	563	5	gu	gu	PROPN
ap-7675	563	6	,	,	PUNCT
ap-7675	563	7	m.	m.	NOUN
ap-7675	563	8	rudner	rudner	NOUN
ap-7675	563	9	,	,	PUNCT
ap-7675	563	10	a.	a.	PROPN
ap-7675	563	11	young	young	PROPN
ap-7675	563	12	,	,	PUNCT
ap-7675	563	13	et	et	PROPN
ap-7675	563	14	al	al	PROPN
ap-7675	563	15	.	.	PUNCT
ap-7675	563	16	collapse	collapse	NOUN
ap-7675	563	17	of	of	ADP
ap-7675	563	18	landau	landau	NOUN
ap-7675	563	19	levels	level	NOUN
ap-7675	563	20	in	in	ADP
ap-7675	563	21	gated	gate	VERB
ap-7675	563	22	graphene	graphene	NOUN
ap-7675	563	23	structures	structure	NOUN
ap-7675	563	24	.	.	PUNCT
ap-7675	564	1	physical	physical	ADJ
ap-7675	564	2	review	review	PROPN
ap-7675	564	3	letters	letter	NOUN
ap-7675	564	4	106(6):066601	106(6):066601	NUM
ap-7675	564	5	,	,	PUNCT
ap-7675	564	6	2011	2011	NUM
ap-7675	564	7	.	.	PUNCT
ap-7675	565	1	https://doi.org/10.1103/physrevlett.106.066601	https://doi.org/10.1103/physrevlett.106.066601	PROPN
ap-7675	565	2	.	.	PUNCT
ap-7675	566	1	[	[	X
ap-7675	566	2	82	82	NUM
ap-7675	566	3	]	]	X
ap-7675	566	4	j.	j.	PROPN
ap-7675	566	5	m.	m.	PROPN
ap-7675	566	6	ziman	ziman	PROPN
ap-7675	566	7	.	.	PUNCT
ap-7675	567	1	principles	principle	NOUN
ap-7675	567	2	of	of	ADP
ap-7675	567	3	the	the	DET
ap-7675	567	4	theory	theory	NOUN
ap-7675	567	5	of	of	ADP
ap-7675	567	6	solids	solid	NOUN
ap-7675	567	7	.	.	PUNCT
ap-7675	568	1	cambridge	cambridge	PROPN
ap-7675	568	2	university	university	PROPN
ap-7675	568	3	press	press	NOUN
ap-7675	568	4	,	,	PUNCT
ap-7675	568	5	2nd	2nd	ADJ
ap-7675	568	6	edn	edn	PROPN
ap-7675	568	7	.	.	PUNCT
ap-7675	568	8	,	,	PUNCT
ap-7675	568	9	1972	1972	NUM
ap-7675	568	10	.	.	PUNCT
ap-7675	569	1	https://doi.org/10.1017/cbo9781139644075	https://doi.org/10.1017/cbo9781139644075	PROPN
ap-7675	569	2	.	.	PUNCT
ap-7675	570	1	[	[	X
ap-7675	570	2	83	83	NUM
ap-7675	570	3	]	]	PUNCT
ap-7675	570	4	t.	t.	PROPN
ap-7675	570	5	huang	huang	PROPN
ap-7675	570	6	,	,	PUNCT
ap-7675	570	7	r.	r.	PROPN
ap-7675	570	8	chen	chen	PROPN
ap-7675	570	9	,	,	PUNCT
ap-7675	570	10	t.	t.	PROPN
ap-7675	570	11	ma	ma	PROPN
ap-7675	570	12	,	,	PUNCT
ap-7675	570	13	et	et	PROPN
ap-7675	570	14	al	al	PROPN
ap-7675	570	15	.	.	PROPN
ap-7675	570	16	electronic	electronic	PROPN
ap-7675	570	17	bloch	bloch	PROPN
ap-7675	570	18	oscillation	oscillation	NOUN
ap-7675	570	19	in	in	ADP
ap-7675	570	20	a	a	DET
ap-7675	570	21	pristine	pristine	ADJ
ap-7675	570	22	monolayer	monolayer	NOUN
ap-7675	570	23	graphene	graphene	NOUN
ap-7675	570	24	.	.	PUNCT
ap-7675	571	1	physics	physics	NOUN
ap-7675	571	2	letters	letter	NOUN
ap-7675	571	3	a	a	DET
ap-7675	571	4	382(42	382(42	PROPN
ap-7675	571	5	-	-	NOUN
ap-7675	571	6	43):3086–3089	43):3086–3089	ADJ
ap-7675	571	7	,	,	PUNCT
ap-7675	571	8	2018	2018	NUM
ap-7675	571	9	.	.	PUNCT
ap-7675	572	1	https://doi.org/10.1016/j.physleta.2018.07.035	https://doi.org/10.1016/j.physleta.2018.07.035	NOUN
ap-7675	572	2	.	.	PUNCT
ap-7675	573	1	[	[	X
ap-7675	573	2	84	84	NUM
ap-7675	573	3	]	]	PUNCT
ap-7675	573	4	m.	m.	NOUN
ap-7675	573	5	kai	kai	PROPN
ap-7675	573	6	,	,	PUNCT
ap-7675	573	7	w.	w.	PROPN
ap-7675	573	8	jian	jian	PROPN
ap-7675	573	9	-	-	PUNCT
ap-7675	573	10	hua	hua	PROPN
ap-7675	573	11	,	,	PUNCT
ap-7675	573	12	y.	y.	PROPN
ap-7675	573	13	yi	yi	PROPN
ap-7675	573	14	.	.	PUNCT
ap-7675	574	1	wigner	wigner	ADJ
ap-7675	574	2	function	function	NOUN
ap-7675	574	3	for	for	ADP
ap-7675	574	4	the	the	DET
ap-7675	574	5	dirac	dirac	NOUN
ap-7675	574	6	oscillator	oscillator	NOUN
ap-7675	574	7	in	in	ADP
ap-7675	574	8	spinor	spinor	NOUN
ap-7675	574	9	space	space	NOUN
ap-7675	574	10	.	.	PUNCT
ap-7675	575	1	chinese	chinese	ADJ
ap-7675	575	2	physics	physics	PROPN
ap-7675	575	3	c	c	PROPN
ap-7675	575	4	35(1):11–15	35(1):11–15	NUM
ap-7675	575	5	,	,	PUNCT
ap-7675	575	6	2011	2011	NUM
ap-7675	575	7	.	.	PUNCT
ap-7675	576	1	https://doi.org/10.1088/1674-1137/35/1/003	https://doi.org/10.1088/1674-1137/35/1/003	NOUN
ap-7675	576	2	.	.	PUNCT
ap-7675	577	1	[	[	X
ap-7675	577	2	85	85	NUM
ap-7675	577	3	]	]	X
ap-7675	577	4	d.	d.	PROPN
ap-7675	577	5	j.	j.	PROPN
ap-7675	577	6	fernández	fernández	PROPN
ap-7675	577	7	,	,	PUNCT
ap-7675	577	8	d.	d.	PROPN
ap-7675	577	9	i.	i.	PROPN
ap-7675	577	10	martínez	martínez	PROPN
ap-7675	577	11	-	-	PUNCT
ap-7675	577	12	moreno	moreno	PROPN
ap-7675	577	13	.	.	PUNCT
ap-7675	578	1	bilayer	bilayer	NOUN
ap-7675	578	2	graphene	graphene	VERB
ap-7675	578	3	coherent	coherent	ADJ
ap-7675	578	4	states	state	NOUN
ap-7675	578	5	.	.	PUNCT
ap-7675	579	1	the	the	DET
ap-7675	579	2	european	european	PROPN
ap-7675	579	3	physical	physical	PROPN
ap-7675	579	4	journal	journal	PROPN
ap-7675	579	5	plus	plus	CCONJ
ap-7675	579	6	volume	volume	NOUN
ap-7675	579	7	135(9):739	135(9):739	NUM
ap-7675	579	8	,	,	PUNCT
ap-7675	579	9	2020	2020	NUM
ap-7675	579	10	.	.	PUNCT
ap-7675	580	1	https://doi.org/10.1140/epjp/s13360-020-00746-5	https://doi.org/10.1140/epjp/s13360-020-00746-5	PROPN
ap-7675	580	2	.	.	PROPN
ap-7675	581	1	49	49	NUM
ap-7675	581	2	https://doi.org/10.1038/nphys1420	https://doi.org/10.1038/nphys1420	PROPN
ap-7675	581	3	https://doi.org/10.1088/0953-8984/24/37/375301	https://doi.org/10.1088/0953-8984/24/37/375301	NOUN
ap-7675	581	4	https://doi.org/10.1088/2053-1591/ab52ad	https://doi.org/10.1088/2053-1591/ab52ad	ADJ
ap-7675	581	5	https://doi.org/10.1103/physrevlett.103.046801	https://doi.org/10.1103/physrevlett.103.046801	PROPN
ap-7675	581	6	https://doi.org/10.1103/physrevb.80.045401	https://doi.org/10.1103/physrevb.80.045401	PROPN
ap-7675	581	7	https://doi.org/10.1103/physrevb.81.241412	https://doi.org/10.1103/physrevb.81.241412	PROPN
ap-7675	581	8	https://doi.org/10.1103/physrevb.81.035411	https://doi.org/10.1103/physrevb.81.035411	PROPN
ap-7675	581	9	https://doi.org/10.1103/physrevb.86.155435	https://doi.org/10.1103/physrevb.86.155435	PROPN
ap-7675	581	10	https://doi.org/10.1016/j.ssc.2013.05.002	https://doi.org/10.1016/j.ssc.2013.05.002	PROPN
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ap-7675	581	12	https://doi.org/10.1140/epjb/e2020-10222-3	https://doi.org/10.1140/epjb/e2020-10222-3	NOUN
ap-7675	581	13	https://doi.org/10.1103/physrevb.102.045427	https://doi.org/10.1103/physrevb.102.045427	NOUN
ap-7675	581	14	https://doi.org/10.1088/1367-2630/18/5/053016	https://doi.org/10.1088/1367-2630/18/5/053016	PROPN
ap-7675	581	15	https://doi.org/10.1088/2053-1583/aaea8d	https://doi.org/10.1088/2053-1583/aaea8d	NOUN
ap-7675	581	16	https://doi.org/10.1103/physrevb.98.205421	https://doi.org/10.1103/physrevb.98.205421	VERB
ap-7675	581	17	https://doi.org/10.1103/physrevb.103.155433	https://doi.org/10.1103/physrevb.103.155433	PROPN
ap-7675	581	18	https://doi.org/10.1039/c7cp03736h	https://doi.org/10.1039/c7cp03736h	PROPN
ap-7675	581	19	https://doi.org/10.1103/physrevb.94.041408	https://doi.org/10.1103/physrevb.94.041408	VERB
ap-7675	581	20	https://doi.org/10.1021/acs.jpclett.8b00616	https://doi.org/10.1021/acs.jpclett.8b00616	PROPN
ap-7675	581	21	https://doi.org/10.1103/physrevlett.113.166403	https://doi.org/10.1103/physrevlett.113.166403	PROPN
ap-7675	581	22	https://doi.org/10.1038/nature13821	https://doi.org/10.1038/nature13821	NOUN
ap-7675	581	23	https://doi.org/10.1016/j.aop.2020.168287	https://doi.org/10.1016/j.aop.2020.168287	PROPN
ap-7675	581	24	https://doi.org/10.1103/physrevlett.98.116802	https://doi.org/10.1103/physrevlett.98.116802	NOUN
ap-7675	582	1	https://doi.org/10.1103/physrevlett.106.066601	https://doi.org/10.1103/physrevlett.106.066601	PROPN
ap-7675	582	2	https://doi.org/10.1017/cbo9781139644075	https://doi.org/10.1017/cbo9781139644075	PROPN
ap-7675	582	3	https://doi.org/10.1016/j.physleta.2018.07.035	https://doi.org/10.1016/j.physleta.2018.07.035	PROPN
ap-7675	582	4	https://doi.org/10.1088/1674-1137/35/1/003	https://doi.org/10.1088/1674-1137/35/1/003	NOUN
ap-7675	582	5	https://doi.org/10.1140/epjp/s13360-020-00746-5	https://doi.org/10.1140/epjp/s13360-020-00746-5	PROPN
ap-7675	582	6	acta	acta	PROPN
ap-7675	582	7	polytechnica	polytechnica	PROPN
ap-7675	582	8	62(1):38–49	62(1):38–49	NUM
ap-7675	582	9	,	,	PUNCT
ap-7675	582	10	2022	2022	NUM
ap-7675	582	11	1	1	NUM
ap-7675	582	12	introduction	introduction	NOUN
ap-7675	582	13	2	2	NUM
ap-7675	582	14	electron	electron	NOUN
ap-7675	582	15	dynamics	dynamic	NOUN
ap-7675	582	16	in	in	ADP
ap-7675	582	17	monolayers	monolayer	NOUN
ap-7675	582	18	of	of	ADP
ap-7675	582	19	boron	boron	NOUN
ap-7675	582	20	allotropes	allotrope	NOUN
ap-7675	582	21	2.1	2.1	NUM
ap-7675	582	22	effective	effective	ADJ
ap-7675	582	23	dirac	dirac	NOUN
ap-7675	582	24	-	-	PUNCT
ap-7675	582	25	weyl	weyl	VERB
ap-7675	582	26	hamiltonian	hamiltonian	NOUN
ap-7675	582	27	2.1.1	2.1.1	NUM
ap-7675	582	28	energy	energy	NOUN
ap-7675	582	29	spectrum	spectrum	NOUN
ap-7675	582	30	2.1.2	2.1.2	NUM
ap-7675	582	31	eigenstates	eigenstate	NOUN
ap-7675	582	32	3	3	NUM
ap-7675	582	33	coherent	coherent	ADJ
ap-7675	582	34	electron	electron	NOUN
ap-7675	582	35	states	state	NOUN
ap-7675	582	36	3.1	3.1	NUM
ap-7675	582	37	overcompleteness	overcompleteness	NOUN
ap-7675	582	38	and	and	CCONJ
ap-7675	582	39	resolution	resolution	NOUN
ap-7675	582	40	to	to	ADP
ap-7675	582	41	the	the	DET
ap-7675	582	42	identity	identity	NOUN
ap-7675	582	43	3.2	3.2	NUM
ap-7675	582	44	occupation	occupation	NOUN
ap-7675	582	45	number	number	NOUN
ap-7675	582	46	distribution	distribution	NOUN
ap-7675	582	47	3.3	3.3	NUM
ap-7675	582	48	mean	mean	NOUN
ap-7675	582	49	energy	energy	NOUN
ap-7675	582	50	value	value	NOUN
ap-7675	582	51	3.4	3.4	NUM
ap-7675	582	52	time	time	NOUN
ap-7675	582	53	evolution	evolution	NOUN
ap-7675	582	54	of	of	ADP
ap-7675	582	55	the	the	DET
ap-7675	582	56	wave	wave	NOUN
ap-7675	582	57	packet	packet	NOUN
ap-7675	582	58	3.5	3.5	NUM
ap-7675	582	59	obtaining	obtaining	NOUN
ap-7675	582	60	of	of	ADP
ap-7675	582	61	the	the	DET
ap-7675	582	62	time	time	NOUN
ap-7675	582	63	-	-	PUNCT
ap-7675	582	64	dependent	dependent	ADJ
ap-7675	582	65	wigner	wigner	NOUN
ap-7675	582	66	function	function	NOUN
ap-7675	582	67	for	for	ADP
ap-7675	582	68	coherent	coherent	ADJ
ap-7675	582	69	electron	electron	NOUN
ap-7675	582	70	states	state	NOUN
ap-7675	582	71	3.5.1	3.5.1	NUM
ap-7675	582	72	period	period	NOUN
ap-7675	582	73	of	of	ADP
ap-7675	582	74	motion	motion	NOUN
ap-7675	582	75	3.6	3.6	NUM
ap-7675	582	76	discussion	discussion	NOUN
ap-7675	582	77	4	4	NUM
ap-7675	582	78	conclusions	conclusion	NOUN
ap-7675	582	79	acknowledgements	acknowledgement	NOUN
ap-7675	582	80	references	reference	NOUN