id	sid	tid	token	lemma	pos
ap-7673	1	1	acta	acta	PROPN
ap-7673	1	2	polytechnica	polytechnica	PROPN
ap-7673	1	3	https://doi.org/10.14311/ap.2022.62.0023	https://doi.org/10.14311/ap.2022.62.0023	PROPN
ap-7673	1	4	acta	acta	PROPN
ap-7673	1	5	polytechnica	polytechnica	PROPN
ap-7673	1	6	62(1):23–29	62(1):23–29	NUM
ap-7673	1	7	,	,	PUNCT
ap-7673	1	8	2022	2022	NUM
ap-7673	1	9	©	©	ADP
ap-7673	1	10	2022	2022	NUM
ap-7673	1	11	the	the	DET
ap-7673	1	12	author(s	author(s	NOUN
ap-7673	1	13	)	)	PUNCT
ap-7673	1	14	.	.	PUNCT
ap-7673	2	1	licensed	license	VERB
ap-7673	2	2	under	under	ADP
ap-7673	2	3	a	a	DET
ap-7673	2	4	cc	cc	NOUN
ap-7673	2	5	-	-	PUNCT
ap-7673	2	6	by	by	ADP
ap-7673	2	7	4.0	4.0	NUM
ap-7673	2	8	licence	licence	NOUN
ap-7673	2	9	published	publish	VERB
ap-7673	2	10	by	by	ADP
ap-7673	2	11	the	the	DET
ap-7673	2	12	czech	czech	PROPN
ap-7673	2	13	technical	technical	PROPN
ap-7673	2	14	university	university	PROPN
ap-7673	2	15	in	in	ADP
ap-7673	2	16	prague	prague	NOUN
ap-7673	2	17	photonic	photonic	NOUN
ap-7673	2	18	graphene	graphene	NOUN
ap-7673	2	19	under	under	ADP
ap-7673	2	20	strain	strain	NOUN
ap-7673	2	21	with	with	ADP
ap-7673	2	22	position	position	NOUN
ap-7673	2	23	-	-	PUNCT
ap-7673	2	24	dependent	dependent	ADJ
ap-7673	2	25	gain	gain	NOUN
ap-7673	2	26	and	and	CCONJ
ap-7673	2	27	loss	loss	NOUN
ap-7673	2	28	miguel	miguel	PROPN
ap-7673	2	29	castillo	castillo	PROPN
ap-7673	2	30	-	-	PUNCT
ap-7673	2	31	celeitaa,∗	celeitaa,∗	PROPN
ap-7673	2	32	,	,	PUNCT
ap-7673	2	33	alonso	alonso	PROPN
ap-7673	2	34	contreras	contreras	PROPN
ap-7673	2	35	-	-	PUNCT
ap-7673	2	36	astorgab	astorgab	PROPN
ap-7673	2	37	,	,	PUNCT
ap-7673	2	38	david	david	PROPN
ap-7673	2	39	j.	j.	PROPN
ap-7673	2	40	fernández	fernández	PROPN
ap-7673	2	41	c.a	c.a	PROPN
ap-7673	2	42	a	a	DET
ap-7673	2	43	cinvestav	cinvestav	NOUN
ap-7673	2	44	,	,	PUNCT
ap-7673	2	45	physics	physics	NOUN
ap-7673	2	46	department	department	PROPN
ap-7673	2	47	,	,	PUNCT
ap-7673	2	48	p.o	p.o	PROPN
ap-7673	2	49	.	.	PROPN
ap-7673	2	50	box	box	PROPN
ap-7673	2	51	.	.	PUNCT
ap-7673	3	1	14	14	NUM
ap-7673	3	2	-	-	SYM
ap-7673	3	3	740	740	NUM
ap-7673	3	4	,	,	PUNCT
ap-7673	3	5	07000	07000	NUM
ap-7673	3	6	mexico	mexico	PROPN
ap-7673	3	7	city	city	NOUN
ap-7673	3	8	,	,	PUNCT
ap-7673	3	9	mexico	mexico	PROPN
ap-7673	3	10	b	b	PROPN
ap-7673	3	11	cinvestav	cinvestav	NOUN
ap-7673	3	12	,	,	PUNCT
ap-7673	3	13	conacyt	conacyt	ADJ
ap-7673	3	14	–	–	PUNCT
ap-7673	3	15	physics	physics	NOUN
ap-7673	3	16	department	department	PROPN
ap-7673	3	17	,	,	PUNCT
ap-7673	3	18	p.o	p.o	PROPN
ap-7673	3	19	.	.	PROPN
ap-7673	3	20	box	box	PROPN
ap-7673	3	21	.	.	PUNCT
ap-7673	4	1	14	14	NUM
ap-7673	4	2	-	-	SYM
ap-7673	4	3	740	740	NUM
ap-7673	4	4	,	,	PUNCT
ap-7673	4	5	07000	07000	NUM
ap-7673	4	6	mexico	mexico	PROPN
ap-7673	4	7	city	city	PROPN
ap-7673	4	8	,	,	PUNCT
ap-7673	4	9	mexico	mexico	PROPN
ap-7673	4	10	∗	∗	VERB
ap-7673	4	11	corresponding	correspond	VERB
ap-7673	4	12	author	author	NOUN
ap-7673	4	13	:	:	PUNCT
ap-7673	4	14	mfcastillo@fis.cinvestav.mx	mfcastillo@fis.cinvestav.mx	PROPN
ap-7673	4	15	abstract	abstract	PROPN
ap-7673	4	16	.	.	PUNCT
ap-7673	5	1	we	we	PRON
ap-7673	5	2	work	work	VERB
ap-7673	5	3	with	with	ADP
ap-7673	5	4	photonic	photonic	ADJ
ap-7673	5	5	graphene	graphene	NOUN
ap-7673	5	6	lattices	lattice	NOUN
ap-7673	5	7	under	under	ADP
ap-7673	5	8	strain	strain	NOUN
ap-7673	5	9	with	with	ADP
ap-7673	5	10	gain	gain	NOUN
ap-7673	5	11	and	and	CCONJ
ap-7673	5	12	loss	loss	NOUN
ap-7673	5	13	,	,	PUNCT
ap-7673	5	14	modeled	model	VERB
ap-7673	5	15	by	by	ADP
ap-7673	5	16	the	the	DET
ap-7673	5	17	dirac	dirac	NOUN
ap-7673	5	18	equation	equation	NOUN
ap-7673	5	19	with	with	ADP
ap-7673	5	20	an	an	DET
ap-7673	5	21	imaginary	imaginary	ADJ
ap-7673	5	22	mass	mass	NOUN
ap-7673	5	23	term	term	NOUN
ap-7673	5	24	.	.	PUNCT
ap-7673	6	1	to	to	PART
ap-7673	6	2	construct	construct	VERB
ap-7673	6	3	such	such	ADJ
ap-7673	6	4	hamiltonians	hamiltonian	NOUN
ap-7673	6	5	and	and	CCONJ
ap-7673	6	6	their	their	PRON
ap-7673	6	7	solutions	solution	NOUN
ap-7673	6	8	,	,	PUNCT
ap-7673	6	9	we	we	PRON
ap-7673	6	10	use	use	VERB
ap-7673	6	11	the	the	DET
ap-7673	6	12	free	free	ADJ
ap-7673	6	13	-	-	PUNCT
ap-7673	6	14	particle	particle	NOUN
ap-7673	6	15	dirac	dirac	NOUN
ap-7673	6	16	equation	equation	NOUN
ap-7673	6	17	and	and	CCONJ
ap-7673	6	18	then	then	ADV
ap-7673	6	19	a	a	DET
ap-7673	6	20	matrix	matrix	NOUN
ap-7673	6	21	approach	approach	NOUN
ap-7673	6	22	of	of	ADP
ap-7673	6	23	supersymmetric	supersymmetric	ADJ
ap-7673	6	24	quantum	quantum	ADJ
ap-7673	6	25	mechanics	mechanic	NOUN
ap-7673	6	26	to	to	PART
ap-7673	6	27	generate	generate	VERB
ap-7673	6	28	a	a	DET
ap-7673	6	29	new	new	ADJ
ap-7673	6	30	hamiltonian	hamiltonian	NOUN
ap-7673	6	31	with	with	ADP
ap-7673	6	32	a	a	DET
ap-7673	6	33	magnetic	magnetic	ADJ
ap-7673	6	34	vector	vector	NOUN
ap-7673	6	35	potential	potential	NOUN
ap-7673	6	36	and	and	CCONJ
ap-7673	6	37	an	an	DET
ap-7673	6	38	imaginary	imaginary	ADJ
ap-7673	6	39	position	position	NOUN
ap-7673	6	40	-	-	PUNCT
ap-7673	6	41	dependent	dependent	ADJ
ap-7673	6	42	mass	mass	ADJ
ap-7673	6	43	term	term	NOUN
ap-7673	6	44	.	.	PUNCT
ap-7673	7	1	then	then	ADV
ap-7673	7	2	,	,	PUNCT
ap-7673	7	3	we	we	PRON
ap-7673	7	4	use	use	VERB
ap-7673	7	5	a	a	DET
ap-7673	7	6	gauge	gauge	ADJ
ap-7673	7	7	transformation	transformation	NOUN
ap-7673	7	8	that	that	PRON
ap-7673	7	9	maps	map	VERB
ap-7673	7	10	our	our	PRON
ap-7673	7	11	solutions	solution	NOUN
ap-7673	7	12	to	to	ADP
ap-7673	7	13	the	the	DET
ap-7673	7	14	final	final	ADJ
ap-7673	7	15	system	system	NOUN
ap-7673	7	16	,	,	PUNCT
ap-7673	7	17	photonic	photonic	NOUN
ap-7673	7	18	graphene	graphene	NOUN
ap-7673	7	19	under	under	ADP
ap-7673	7	20	strain	strain	NOUN
ap-7673	7	21	with	with	ADP
ap-7673	7	22	a	a	DET
ap-7673	7	23	position	position	NOUN
ap-7673	7	24	-	-	PUNCT
ap-7673	7	25	dependent	dependent	ADJ
ap-7673	7	26	gain	gain	NOUN
ap-7673	7	27	/	/	SYM
ap-7673	7	28	loss	loss	NOUN
ap-7673	7	29	term	term	NOUN
ap-7673	7	30	.	.	PUNCT
ap-7673	8	1	we	we	PRON
ap-7673	8	2	give	give	VERB
ap-7673	8	3	explicit	explicit	ADJ
ap-7673	8	4	expressions	expression	NOUN
ap-7673	8	5	for	for	ADP
ap-7673	8	6	the	the	DET
ap-7673	8	7	guided	guide	VERB
ap-7673	8	8	modes	mode	NOUN
ap-7673	8	9	.	.	PUNCT
ap-7673	9	1	keywords	keyword	NOUN
ap-7673	9	2	:	:	PUNCT
ap-7673	9	3	graphene	graphene	VERB
ap-7673	9	4	,	,	PUNCT
ap-7673	9	5	dirac	dirac	NOUN
ap-7673	9	6	materials	material	NOUN
ap-7673	9	7	,	,	PUNCT
ap-7673	9	8	photonic	photonic	NOUN
ap-7673	9	9	graphene	graphene	NOUN
ap-7673	9	10	,	,	PUNCT
ap-7673	9	11	matrix	matrix	NOUN
ap-7673	9	12	supersymmetric	supersymmetric	NOUN
ap-7673	9	13	,	,	PUNCT
ap-7673	9	14	quantum	quantum	NOUN
ap-7673	9	15	mechanics	mechanic	NOUN
ap-7673	9	16	.	.	PUNCT
ap-7673	10	1	1	1	X
ap-7673	10	2	.	.	X
ap-7673	10	3	introduction	introduction	NOUN
ap-7673	10	4	graphene	graphene	NOUN
ap-7673	10	5	is	be	AUX
ap-7673	10	6	the	the	DET
ap-7673	10	7	last	last	ADJ
ap-7673	10	8	known	know	VERB
ap-7673	10	9	carbon	carbon	NOUN
ap-7673	10	10	allotrope	allotrope	NOUN
ap-7673	10	11	,	,	PUNCT
ap-7673	10	12	it	it	PRON
ap-7673	10	13	was	be	AUX
ap-7673	10	14	isolated	isolate	VERB
ap-7673	10	15	for	for	ADP
ap-7673	10	16	the	the	DET
ap-7673	10	17	first	first	ADJ
ap-7673	10	18	time	time	NOUN
ap-7673	10	19	by	by	ADP
ap-7673	10	20	novoselov	novoselov	NOUN
ap-7673	10	21	,	,	PUNCT
ap-7673	10	22	geim	geim	PROPN
ap-7673	10	23	,	,	PUNCT
ap-7673	10	24	et	et	PROPN
ap-7673	10	25	al	al	PROPN
ap-7673	10	26	.	.	PROPN
ap-7673	11	1	in	in	ADP
ap-7673	11	2	2004	2004	NUM
ap-7673	11	3	[	[	X
ap-7673	11	4	1	1	NUM
ap-7673	11	5	]	]	PUNCT
ap-7673	11	6	.	.	PUNCT
ap-7673	12	1	this	this	DET
ap-7673	12	2	material	material	NOUN
ap-7673	12	3	consists	consist	VERB
ap-7673	12	4	of	of	ADP
ap-7673	12	5	a	a	DET
ap-7673	12	6	two	two	NUM
ap-7673	12	7	-	-	PUNCT
ap-7673	12	8	dimensional	dimensional	ADJ
ap-7673	12	9	hexagonal	hexagonal	ADJ
ap-7673	12	10	arrangement	arrangement	NOUN
ap-7673	12	11	of	of	ADP
ap-7673	12	12	carbon	carbon	NOUN
ap-7673	12	13	atoms	atom	NOUN
ap-7673	12	14	.	.	PUNCT
ap-7673	13	1	graphene	graphene	VERB
ap-7673	13	2	excels	excel	NOUN
ap-7673	13	3	for	for	ADP
ap-7673	13	4	its	its	PRON
ap-7673	13	5	interesting	interesting	ADJ
ap-7673	13	6	properties	property	NOUN
ap-7673	13	7	,	,	PUNCT
ap-7673	13	8	such	such	ADJ
ap-7673	13	9	as	as	ADP
ap-7673	13	10	mechanical	mechanical	ADJ
ap-7673	13	11	resistance	resistance	NOUN
ap-7673	13	12	,	,	PUNCT
ap-7673	13	13	electrical	electrical	ADJ
ap-7673	13	14	conductivity	conductivity	NOUN
ap-7673	13	15	,	,	PUNCT
ap-7673	13	16	and	and	CCONJ
ap-7673	13	17	optical	optical	ADJ
ap-7673	13	18	opacity	opacity	NOUN
ap-7673	13	19	[	[	X
ap-7673	13	20	2	2	NUM
ap-7673	13	21	,	,	PUNCT
ap-7673	13	22	3	3	NUM
ap-7673	13	23	]	]	PUNCT
ap-7673	13	24	.	.	PUNCT
ap-7673	14	1	the	the	DET
ap-7673	14	2	study	study	NOUN
ap-7673	14	3	of	of	ADP
ap-7673	14	4	graphene	graphene	NOUN
ap-7673	14	5	has	have	AUX
ap-7673	14	6	contributed	contribute	VERB
ap-7673	14	7	to	to	ADP
ap-7673	14	8	the	the	DET
ap-7673	14	9	development	development	NOUN
ap-7673	14	10	of	of	ADP
ap-7673	14	11	different	different	ADJ
ap-7673	14	12	areas	area	NOUN
ap-7673	14	13	in	in	ADP
ap-7673	14	14	physics	physics	NOUN
ap-7673	14	15	,	,	PUNCT
ap-7673	14	16	for	for	ADP
ap-7673	14	17	example	example	NOUN
ap-7673	14	18	,	,	PUNCT
ap-7673	14	19	in	in	ADP
ap-7673	14	20	solid	solid	ADJ
ap-7673	14	21	-	-	PUNCT
ap-7673	14	22	state	state	NOUN
ap-7673	14	23	,	,	PUNCT
ap-7673	14	24	graphene	graphene	NOUN
ap-7673	14	25	has	have	AUX
ap-7673	14	26	prompted	prompt	VERB
ap-7673	14	27	the	the	DET
ap-7673	14	28	discovery	discovery	NOUN
ap-7673	14	29	of	of	ADP
ap-7673	14	30	other	other	ADJ
ap-7673	14	31	materials	material	NOUN
ap-7673	14	32	with	with	ADP
ap-7673	14	33	similar	similar	ADJ
ap-7673	14	34	characteristics	characteristic	NOUN
ap-7673	14	35	,	,	PUNCT
ap-7673	14	36	such	such	ADJ
ap-7673	14	37	as	as	ADP
ap-7673	14	38	borophene	borophene	NOUN
ap-7673	14	39	and	and	CCONJ
ap-7673	14	40	phosphorene	phosphorene	NOUN
ap-7673	14	41	.	.	PUNCT
ap-7673	15	1	at	at	ADP
ap-7673	15	2	low	low	ADJ
ap-7673	15	3	energy	energy	NOUN
ap-7673	15	4	,	,	PUNCT
ap-7673	15	5	the	the	DET
ap-7673	15	6	charge	charge	NOUN
ap-7673	15	7	carriers	carrier	NOUN
ap-7673	15	8	in	in	ADP
ap-7673	15	9	graphene	graphene	NOUN
ap-7673	15	10	behave	behave	VERB
ap-7673	15	11	like	like	ADP
ap-7673	15	12	dirac	dirac	NOUN
ap-7673	15	13	massless	massless	NOUN
ap-7673	15	14	particles	particle	NOUN
ap-7673	15	15	,	,	PUNCT
ap-7673	15	16	and	and	CCONJ
ap-7673	15	17	from	from	ADP
ap-7673	15	18	this	this	DET
ap-7673	15	19	approach	approach	NOUN
ap-7673	15	20	,	,	PUNCT
ap-7673	15	21	graphene	graphene	NOUN
ap-7673	15	22	has	have	AUX
ap-7673	15	23	allowed	allow	VERB
ap-7673	15	24	the	the	DET
ap-7673	15	25	verification	verification	NOUN
ap-7673	15	26	of	of	ADP
ap-7673	15	27	the	the	DET
ap-7673	15	28	klein	klein	PROPN
ap-7673	15	29	tunneling	tunneling	PROPN
ap-7673	15	30	paradox	paradox	NOUN
ap-7673	15	31	as	as	ADV
ap-7673	15	32	well	well	ADV
ap-7673	15	33	as	as	ADP
ap-7673	15	34	the	the	DET
ap-7673	15	35	quantum	quantum	NOUN
ap-7673	15	36	hall	hall	NOUN
ap-7673	15	37	effect	effect	NOUN
ap-7673	15	38	.	.	PUNCT
ap-7673	16	1	these	these	DET
ap-7673	16	2	phenomena	phenomenon	NOUN
ap-7673	16	3	have	have	AUX
ap-7673	16	4	gained	gain	VERB
ap-7673	16	5	a	a	DET
ap-7673	16	6	special	special	ADJ
ap-7673	16	7	interest	interest	NOUN
ap-7673	16	8	in	in	ADP
ap-7673	16	9	particle	particle	NOUN
ap-7673	16	10	physics	physics	NOUN
ap-7673	16	11	and	and	CCONJ
ap-7673	16	12	quantum	quantum	ADJ
ap-7673	16	13	mechanics	mechanic	NOUN
ap-7673	16	14	[	[	X
ap-7673	16	15	4	4	NUM
ap-7673	16	16	]	]	PUNCT
ap-7673	16	17	.	.	PUNCT
ap-7673	17	1	exploring	explore	VERB
ap-7673	17	2	graphene	graphene	NOUN
ap-7673	17	3	in	in	ADP
ap-7673	17	4	an	an	DET
ap-7673	17	5	external	external	ADJ
ap-7673	17	6	constant	constant	ADJ
ap-7673	17	7	magnetic	magnetic	ADJ
ap-7673	17	8	field	field	NOUN
ap-7673	17	9	has	have	AUX
ap-7673	17	10	allowed	allow	VERB
ap-7673	17	11	identifying	identify	VERB
ap-7673	17	12	the	the	DET
ap-7673	17	13	discrete	discrete	ADJ
ap-7673	17	14	bound	bind	VERB
ap-7673	17	15	states	state	NOUN
ap-7673	17	16	in	in	ADP
ap-7673	17	17	the	the	DET
ap-7673	17	18	material	material	NOUN
ap-7673	17	19	,	,	PUNCT
ap-7673	17	20	the	the	DET
ap-7673	17	21	so	so	ADV
ap-7673	17	22	-	-	PUNCT
ap-7673	17	23	called	call	VERB
ap-7673	17	24	landau	landau	NOUN
ap-7673	17	25	levels	level	NOUN
ap-7673	17	26	.	.	PUNCT
ap-7673	18	1	moreover	moreover	ADV
ap-7673	18	2	,	,	PUNCT
ap-7673	18	3	theoretical	theoretical	ADJ
ap-7673	18	4	physicist	physicist	NOUN
ap-7673	18	5	have	have	AUX
ap-7673	18	6	analyzed	analyze	VERB
ap-7673	18	7	the	the	DET
ap-7673	18	8	behavior	behavior	NOUN
ap-7673	18	9	of	of	ADP
ap-7673	18	10	dirac	dirac	NOUN
ap-7673	18	11	electrons	electron	NOUN
ap-7673	18	12	in	in	ADP
ap-7673	18	13	graphene	graphene	NOUN
ap-7673	18	14	under	under	ADP
ap-7673	18	15	different	different	ADJ
ap-7673	18	16	magnetic	magnetic	ADJ
ap-7673	18	17	field	field	NOUN
ap-7673	18	18	profiles	profile	NOUN
ap-7673	18	19	as	as	ADV
ap-7673	18	20	well	well	ADV
ap-7673	18	21	.	.	PUNCT
ap-7673	19	1	supersymmetric	supersymmetric	ADJ
ap-7673	19	2	quantum	quantum	ADJ
ap-7673	19	3	mechanics	mechanic	NOUN
ap-7673	19	4	is	be	AUX
ap-7673	19	5	a	a	DET
ap-7673	19	6	useful	useful	ADJ
ap-7673	19	7	tool	tool	NOUN
ap-7673	19	8	to	to	PART
ap-7673	19	9	find	find	VERB
ap-7673	19	10	solutions	solution	NOUN
ap-7673	19	11	of	of	ADP
ap-7673	19	12	the	the	DET
ap-7673	19	13	dirac	dirac	NOUN
ap-7673	19	14	equation	equation	NOUN
ap-7673	19	15	under	under	ADP
ap-7673	19	16	external	external	ADJ
ap-7673	19	17	magnetic	magnetic	ADJ
ap-7673	19	18	fields	field	NOUN
ap-7673	19	19	[	[	X
ap-7673	19	20	5–9	5–9	NOUN
ap-7673	19	21	]	]	PUNCT
ap-7673	19	22	.	.	PUNCT
ap-7673	20	1	following	follow	VERB
ap-7673	20	2	this	this	DET
ap-7673	20	3	approach	approach	NOUN
ap-7673	20	4	,	,	PUNCT
ap-7673	20	5	a	a	DET
ap-7673	20	6	mechanical	mechanical	ADJ
ap-7673	20	7	deformation	deformation	NOUN
ap-7673	20	8	in	in	ADP
ap-7673	20	9	a	a	DET
ap-7673	20	10	graphene	graphene	NOUN
ap-7673	20	11	lattice	lattice	NOUN
ap-7673	20	12	is	be	AUX
ap-7673	20	13	equivalent	equivalent	ADJ
ap-7673	20	14	to	to	ADP
ap-7673	20	15	introducing	introduce	VERB
ap-7673	20	16	an	an	DET
ap-7673	20	17	external	external	ADJ
ap-7673	20	18	magnetic	magnetic	ADJ
ap-7673	20	19	field	field	NOUN
ap-7673	20	20	[	[	X
ap-7673	20	21	10	10	NUM
ap-7673	20	22	,	,	PUNCT
ap-7673	20	23	11	11	NUM
ap-7673	20	24	]	]	PUNCT
ap-7673	20	25	.	.	PUNCT
ap-7673	21	1	graphene	graphene	NOUN
ap-7673	21	2	has	have	VERB
ap-7673	21	3	its	its	PRON
ap-7673	21	4	analog	analog	NOUN
ap-7673	21	5	in	in	ADP
ap-7673	21	6	photonics	photonic	NOUN
ap-7673	21	7	,	,	PUNCT
ap-7673	21	8	called	call	VERB
ap-7673	21	9	photonic	photonic	ADJ
ap-7673	21	10	graphene	graphene	NOUN
ap-7673	21	11	.	.	PUNCT
ap-7673	22	1	it	it	PRON
ap-7673	22	2	is	be	AUX
ap-7673	22	3	constructed	construct	VERB
ap-7673	22	4	through	through	ADP
ap-7673	22	5	a	a	DET
ap-7673	22	6	twodimensional	twodimensional	ADJ
ap-7673	22	7	photonic	photonic	NOUN
ap-7673	22	8	crystal	crystal	NOUN
ap-7673	22	9	with	with	ADP
ap-7673	22	10	weakly	weakly	ADJ
ap-7673	22	11	coupled	couple	VERB
ap-7673	22	12	optical	optical	ADJ
ap-7673	22	13	fibers	fiber	NOUN
ap-7673	22	14	in	in	ADP
ap-7673	22	15	a	a	DET
ap-7673	22	16	three	three	NUM
ap-7673	22	17	-	-	PUNCT
ap-7673	22	18	dimensional	dimensional	ADJ
ap-7673	22	19	setting	setting	NOUN
ap-7673	22	20	[	[	X
ap-7673	22	21	12–17	12–17	NUM
ap-7673	22	22	]	]	PUNCT
ap-7673	22	23	.	.	PUNCT
ap-7673	23	1	photonic	photonic	ADJ
ap-7673	23	2	graphene	graphene	NOUN
ap-7673	23	3	under	under	ADP
ap-7673	23	4	strain	strain	NOUN
ap-7673	23	5	is	be	AUX
ap-7673	23	6	modeled	model	VERB
ap-7673	23	7	through	through	ADP
ap-7673	23	8	a	a	DET
ap-7673	23	9	deformation	deformation	NOUN
ap-7673	23	10	in	in	ADP
ap-7673	23	11	the	the	DET
ap-7673	23	12	coupled	couple	VERB
ap-7673	23	13	optical	optical	ADJ
ap-7673	23	14	fiber	fiber	NOUN
ap-7673	23	15	lattice	lattice	NOUN
ap-7673	24	1	[	[	X
ap-7673	24	2	18	18	NUM
ap-7673	24	3	–	–	SYM
ap-7673	24	4	21	21	NUM
ap-7673	24	5	]	]	PUNCT
ap-7673	24	6	.	.	PUNCT
ap-7673	25	1	compared	compare	VERB
ap-7673	25	2	with	with	ADP
ap-7673	25	3	the	the	DET
ap-7673	25	4	conventional	conventional	ADJ
ap-7673	25	5	graphene	graphene	NOUN
ap-7673	25	6	hamiltonian	hamiltonian	NOUN
ap-7673	25	7	,	,	PUNCT
ap-7673	25	8	the	the	DET
ap-7673	25	9	photonic	photonic	ADJ
ap-7673	25	10	graphene	graphene	NOUN
ap-7673	25	11	hamiltonian	hamiltonian	NOUN
ap-7673	25	12	has	have	VERB
ap-7673	25	13	an	an	DET
ap-7673	25	14	extra	extra	ADJ
ap-7673	25	15	term	term	NOUN
ap-7673	25	16	that	that	PRON
ap-7673	25	17	represents	represent	VERB
ap-7673	25	18	the	the	DET
ap-7673	25	19	gain	gain	NOUN
ap-7673	25	20	/	/	SYM
ap-7673	25	21	loss	loss	NOUN
ap-7673	25	22	in	in	ADP
ap-7673	25	23	the	the	DET
ap-7673	25	24	fibers	fiber	NOUN
ap-7673	25	25	.	.	PUNCT
ap-7673	26	1	the	the	DET
ap-7673	26	2	literature	literature	NOUN
ap-7673	26	3	on	on	ADP
ap-7673	26	4	this	this	DET
ap-7673	26	5	topic	topic	NOUN
ap-7673	26	6	always	always	ADV
ap-7673	26	7	considers	consider	VERB
ap-7673	26	8	a	a	DET
ap-7673	26	9	constant	constant	ADJ
ap-7673	26	10	gain	gain	NOUN
ap-7673	26	11	/	/	SYM
ap-7673	26	12	loss	loss	NOUN
ap-7673	26	13	in	in	ADP
ap-7673	26	14	space	space	NOUN
ap-7673	26	15	.	.	PUNCT
ap-7673	27	1	with	with	ADP
ap-7673	27	2	the	the	DET
ap-7673	27	3	previous	previous	ADJ
ap-7673	27	4	motivation	motivation	NOUN
ap-7673	27	5	,	,	PUNCT
ap-7673	27	6	we	we	PRON
ap-7673	27	7	will	will	AUX
ap-7673	27	8	apply	apply	VERB
ap-7673	27	9	supersymmetric	supersymmetric	ADJ
ap-7673	27	10	quantum	quantum	NOUN
ap-7673	27	11	mechanics	mechanic	NOUN
ap-7673	27	12	in	in	ADP
ap-7673	27	13	a	a	DET
ap-7673	27	14	matrix	matrix	NOUN
ap-7673	27	15	approach	approach	NOUN
ap-7673	27	16	(	(	PUNCT
ap-7673	27	17	matrix	matrix	NOUN
ap-7673	27	18	susy	susy	PROPN
ap-7673	27	19	-	-	PUNCT
ap-7673	27	20	qm	qm	PROPN
ap-7673	27	21	)	)	PUNCT
ap-7673	27	22	to	to	PART
ap-7673	27	23	obtain	obtain	VERB
ap-7673	27	24	solutions	solution	NOUN
ap-7673	27	25	of	of	ADP
ap-7673	27	26	the	the	DET
ap-7673	27	27	dirac	dirac	NOUN
ap-7673	27	28	equation	equation	NOUN
ap-7673	27	29	for	for	ADP
ap-7673	27	30	strain	strain	ADJ
ap-7673	27	31	photonic	photonic	ADJ
ap-7673	27	32	graphene	graphene	NOUN
ap-7673	27	33	with	with	ADP
ap-7673	27	34	a	a	DET
ap-7673	27	35	position	position	NOUN
ap-7673	27	36	-	-	PUNCT
ap-7673	27	37	dependent	dependent	ADJ
ap-7673	27	38	gain	gain	NOUN
ap-7673	27	39	/	/	SYM
ap-7673	27	40	loss	loss	NOUN
ap-7673	27	41	.	.	PUNCT
ap-7673	28	1	2	2	X
ap-7673	28	2	.	.	X
ap-7673	28	3	strain	strain	NOUN
ap-7673	28	4	in	in	ADP
ap-7673	28	5	photonic	photonic	ADJ
ap-7673	28	6	graphene	graphene	NOUN
ap-7673	28	7	the	the	DET
ap-7673	28	8	graphene	graphene	NOUN
ap-7673	28	9	structure	structure	NOUN
ap-7673	28	10	consists	consist	VERB
ap-7673	28	11	of	of	ADP
ap-7673	28	12	carbon	carbon	NOUN
ap-7673	28	13	atoms	atom	NOUN
ap-7673	28	14	in	in	ADP
ap-7673	28	15	a	a	DET
ap-7673	28	16	hexagonal	hexagonal	ADJ
ap-7673	28	17	arrangement	arrangement	NOUN
ap-7673	28	18	similar	similar	ADJ
ap-7673	28	19	to	to	ADP
ap-7673	28	20	a	a	DET
ap-7673	28	21	honeycomb	honeycomb	NOUN
ap-7673	28	22	lattice	lattice	NOUN
ap-7673	28	23	.	.	PUNCT
ap-7673	29	1	this	this	DET
ap-7673	29	2	structure	structure	NOUN
ap-7673	29	3	can	can	AUX
ap-7673	29	4	be	be	AUX
ap-7673	29	5	described	describe	VERB
ap-7673	29	6	by	by	ADP
ap-7673	29	7	two	two	NUM
ap-7673	29	8	triangular	triangular	NOUN
ap-7673	29	9	sublattices	sublattice	NOUN
ap-7673	29	10	of	of	ADP
ap-7673	29	11	atoms	atom	NOUN
ap-7673	29	12	,	,	PUNCT
ap-7673	29	13	which	which	PRON
ap-7673	29	14	are	be	AUX
ap-7673	29	15	denoted	denote	VERB
ap-7673	29	16	as	as	ADP
ap-7673	29	17	type	type	NOUN
ap-7673	29	18	a	a	PRON
ap-7673	29	19	and	and	CCONJ
ap-7673	29	20	type	type	NOUN
ap-7673	29	21	b.	b.	PROPN
ap-7673	29	22	the	the	DET
ap-7673	29	23	base	base	NOUN
ap-7673	29	24	vectors	vector	NOUN
ap-7673	29	25	to	to	ADP
ap-7673	29	26	the	the	DET
ap-7673	29	27	unitary	unitary	ADJ
ap-7673	29	28	cell	cell	NOUN
ap-7673	29	29	are	be	AUX
ap-7673	29	30	given	give	VERB
ap-7673	29	31	by	by	ADP
ap-7673	29	32	a1	a1	NOUN
ap-7673	29	33	=	=	PUNCT
ap-7673	29	34	a	a	DET
ap-7673	29	35	2	2	NUM
ap-7673	29	36	(	(	PUNCT
ap-7673	29	37	√	√	NUM
ap-7673	29	38	3	3	NUM
ap-7673	29	39	,	,	PUNCT
ap-7673	29	40	3	3	NUM
ap-7673	29	41	)	)	PUNCT
ap-7673	29	42	,	,	PUNCT
ap-7673	29	43	a2	a2	PROPN
ap-7673	29	44	=	=	PUNCT
ap-7673	29	45	a	a	DET
ap-7673	29	46	2	2	NUM
ap-7673	29	47	(	(	PUNCT
ap-7673	29	48	−	−	PROPN
ap-7673	29	49	√	√	NUM
ap-7673	29	50	3	3	NUM
ap-7673	29	51	,	,	PUNCT
ap-7673	29	52	3	3	NUM
ap-7673	29	53	)	)	PUNCT
ap-7673	29	54	,	,	PUNCT
ap-7673	29	55	(	(	PUNCT
ap-7673	29	56	1	1	X
ap-7673	29	57	)	)	PUNCT
ap-7673	29	58	where	where	SCONJ
ap-7673	29	59	a	a	PRON
ap-7673	29	60	is	be	AUX
ap-7673	29	61	the	the	DET
ap-7673	29	62	interatomic	interatomic	ADJ
ap-7673	29	63	distance	distance	NOUN
ap-7673	29	64	,	,	PUNCT
ap-7673	29	65	for	for	ADP
ap-7673	29	66	graphene	graphene	VERB
ap-7673	29	67	a	a	PRON
ap-7673	29	68	=	=	SYM
ap-7673	29	69	1.42	1.42	NUM
ap-7673	29	70	å	å	PROPN
ap-7673	29	71	(	(	PUNCT
ap-7673	29	72	see	see	VERB
ap-7673	29	73	figure	figure	NOUN
ap-7673	29	74	1a	1a	NOUN
ap-7673	29	75	)	)	PUNCT
ap-7673	29	76	.	.	PUNCT
ap-7673	30	1	the	the	DET
ap-7673	30	2	position	position	NOUN
ap-7673	30	3	of	of	ADP
ap-7673	30	4	the	the	DET
ap-7673	30	5	atoms	atom	NOUN
ap-7673	30	6	in	in	ADP
ap-7673	30	7	the	the	DET
ap-7673	30	8	whole	whole	ADJ
ap-7673	30	9	lattice	lattice	NOUN
ap-7673	30	10	can	can	AUX
ap-7673	30	11	be	be	AUX
ap-7673	30	12	defined	define	VERB
ap-7673	30	13	by	by	ADP
ap-7673	30	14	the	the	DET
ap-7673	30	15	set	set	NOUN
ap-7673	30	16	of	of	ADP
ap-7673	30	17	vectors	vector	NOUN
ap-7673	30	18	rl	rl	ADP
ap-7673	30	19	=	=	SYM
ap-7673	30	20	l1a1	l1a1	PROPN
ap-7673	30	21	+	+	NUM
ap-7673	30	22	l2a2	l2a2	ADJ
ap-7673	30	23	,	,	PUNCT
ap-7673	30	24	with	with	ADP
ap-7673	30	25	l1	l1	PROPN
ap-7673	30	26	,	,	PUNCT
ap-7673	30	27	l2	l2	NOUN
ap-7673	30	28	∈	∈	PROPN
ap-7673	30	29	z.	z.	PROPN
ap-7673	30	30	an	an	DET
ap-7673	30	31	alternative	alternative	ADJ
ap-7673	30	32	description	description	NOUN
ap-7673	30	33	of	of	ADP
ap-7673	30	34	graphene	graphene	NOUN
ap-7673	30	35	is	be	AUX
ap-7673	30	36	through	through	ADP
ap-7673	30	37	the	the	DET
ap-7673	30	38	first	first	ADJ
ap-7673	30	39	neighbors	neighbor	NOUN
ap-7673	30	40	,	,	PUNCT
ap-7673	30	41	which	which	PRON
ap-7673	30	42	are	be	AUX
ap-7673	30	43	connected	connect	VERB
ap-7673	30	44	by	by	ADP
ap-7673	30	45	the	the	DET
ap-7673	30	46	vectors	vector	NOUN
ap-7673	30	47	δn	δn	NOUN
ap-7673	30	48	δ1	δ1	NOUN
ap-7673	30	49	=	=	PUNCT
ap-7673	30	50	a	a	DET
ap-7673	30	51	2	2	NUM
ap-7673	30	52	(	(	PUNCT
ap-7673	30	53	√	√	NUM
ap-7673	30	54	3	3	NUM
ap-7673	30	55	,	,	PUNCT
ap-7673	30	56	1	1	NUM
ap-7673	30	57	)	)	PUNCT
ap-7673	30	58	,	,	PUNCT
ap-7673	30	59	δ2	δ2	VERB
ap-7673	30	60	=	=	PUNCT
ap-7673	30	61	a	a	DET
ap-7673	30	62	2	2	NUM
ap-7673	30	63	(	(	PUNCT
ap-7673	30	64	−	−	PROPN
ap-7673	30	65	√	√	NUM
ap-7673	30	66	3	3	NUM
ap-7673	30	67	,	,	PUNCT
ap-7673	30	68	1	1	NUM
ap-7673	30	69	)	)	PUNCT
ap-7673	30	70	,	,	PUNCT
ap-7673	30	71	δ3	δ3	PROPN
ap-7673	30	72	=	=	SYM
ap-7673	30	73	a(0	a(0	PROPN
ap-7673	30	74	,	,	PUNCT
ap-7673	30	75	−1	−1	NOUN
ap-7673	30	76	)	)	PUNCT
ap-7673	30	77	.	.	PUNCT
ap-7673	31	1	(	(	PUNCT
ap-7673	31	2	2	2	X
ap-7673	31	3	)	)	PUNCT
ap-7673	31	4	a	a	DET
ap-7673	31	5	reciprocal	reciprocal	ADJ
ap-7673	31	6	lattice	lattice	NOUN
ap-7673	31	7	can	can	AUX
ap-7673	31	8	be	be	AUX
ap-7673	31	9	defined	define	VERB
ap-7673	31	10	in	in	ADP
ap-7673	31	11	the	the	DET
ap-7673	31	12	momentum	momentum	NOUN
ap-7673	31	13	space	space	NOUN
ap-7673	31	14	,	,	PUNCT
ap-7673	31	15	which	which	PRON
ap-7673	31	16	is	be	AUX
ap-7673	31	17	also	also	ADV
ap-7673	31	18	hexagonal	hexagonal	ADJ
ap-7673	31	19	,	,	PUNCT
ap-7673	31	20	as	as	SCONJ
ap-7673	31	21	shown	show	VERB
ap-7673	31	22	in	in	ADP
ap-7673	31	23	figure	figure	NOUN
ap-7673	31	24	1b	1b	NUM
ap-7673	31	25	.	.	PUNCT
ap-7673	32	1	it	it	PRON
ap-7673	32	2	is	be	AUX
ap-7673	32	3	rotated	rotate	VERB
ap-7673	32	4	90	90	NUM
ap-7673	32	5	◦	◦	NOUN
ap-7673	32	6	with	with	ADP
ap-7673	32	7	respect	respect	NOUN
ap-7673	32	8	to	to	ADP
ap-7673	32	9	the	the	DET
ap-7673	32	10	original	original	ADJ
ap-7673	32	11	carbon	carbon	NOUN
ap-7673	32	12	network	network	NOUN
ap-7673	32	13	.	.	PUNCT
ap-7673	33	1	a	a	DET
ap-7673	33	2	hexagon	hexagon	NOUN
ap-7673	33	3	in	in	ADP
ap-7673	33	4	the	the	DET
ap-7673	33	5	reciprocal	reciprocal	ADJ
ap-7673	33	6	lattice	lattice	NOUN
ap-7673	33	7	is	be	AUX
ap-7673	33	8	recognized	recognize	VERB
ap-7673	33	9	as	as	ADP
ap-7673	33	10	the	the	DET
ap-7673	33	11	first	first	ADJ
ap-7673	33	12	brillouin	brillouin	NOUN
ap-7673	33	13	zone	zone	NOUN
ap-7673	33	14	.	.	PUNCT
ap-7673	34	1	in	in	ADP
ap-7673	34	2	this	this	DET
ap-7673	34	3	zone	zone	NOUN
ap-7673	34	4	,	,	PUNCT
ap-7673	34	5	there	there	PRON
ap-7673	34	6	are	be	VERB
ap-7673	34	7	only	only	ADV
ap-7673	34	8	two	two	NUM
ap-7673	34	9	inequivalent	inequivalent	NOUN
ap-7673	34	10	points	point	NOUN
ap-7673	34	11	,	,	PUNCT
ap-7673	34	12	k±	k±	PROPN
ap-7673	34	13	=	=	PUNCT
ap-7673	34	14	(	(	PUNCT
ap-7673	34	15	±	±	NUM
ap-7673	34	16	4π	4π	NUM
ap-7673	34	17	3	3	NUM
ap-7673	34	18	√	√	PROPN
ap-7673	34	19	3a	3a	NUM
ap-7673	34	20	,	,	PUNCT
ap-7673	34	21	0	0	NUM
ap-7673	34	22	)	)	PUNCT
ap-7673	34	23	.	.	PUNCT
ap-7673	35	1	23	23	NUM
ap-7673	35	2	https://doi.org/10.14311/ap.2022.62.0023	https://doi.org/10.14311/ap.2022.62.0023	X
ap-7673	35	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7673	35	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7673	35	5	m.	m.	NOUN
ap-7673	35	6	castillo	castillo	PROPN
ap-7673	35	7	-	-	PUNCT
ap-7673	35	8	celeita	celeita	PROPN
ap-7673	35	9	,	,	PUNCT
ap-7673	35	10	a.	a.	PROPN
ap-7673	35	11	contreras	contreras	PROPN
ap-7673	35	12	-	-	PUNCT
ap-7673	35	13	astorga	astorga	PROPN
ap-7673	35	14	,	,	PUNCT
ap-7673	35	15	d.	d.	PROPN
ap-7673	35	16	j.	j.	PROPN
ap-7673	35	17	fernández	fernández	PROPN
ap-7673	35	18	c.	c.	PROPN
ap-7673	35	19	acta	acta	PROPN
ap-7673	35	20	polytechnica	polytechnica	PROPN
ap-7673	35	21	a	a	DET
ap-7673	35	22	b	b	PROPN
ap-7673	35	23	a1a	a1a	PROPN
ap-7673	35	24	2	2	PROPN
ap-7673	35	25	δ1δ2	δ1δ2	NOUN
ap-7673	35	26	δ3	δ3	PROPN
ap-7673	35	27	(	(	PUNCT
ap-7673	35	28	a	a	NOUN
ap-7673	35	29	)	)	PUNCT
ap-7673	35	30	.	.	PUNCT
ap-7673	36	1	b1b2	b1b2	VERB
ap-7673	36	2	k+k(b	k+k(b	NOUN
ap-7673	36	3	)	)	PUNCT
ap-7673	36	4	.	.	PUNCT
ap-7673	37	1	figure	figure	NOUN
ap-7673	37	2	1	1	NUM
ap-7673	37	3	.	.	PUNCT
ap-7673	38	1	(	(	PUNCT
ap-7673	38	2	a	a	X
ap-7673	38	3	)	)	PUNCT
ap-7673	38	4	hexagonal	hexagonal	ADJ
ap-7673	38	5	graphene	graphene	NOUN
ap-7673	38	6	lattice	lattice	NOUN
ap-7673	38	7	.	.	PUNCT
ap-7673	39	1	the	the	DET
ap-7673	39	2	lattice	lattice	NOUN
ap-7673	39	3	is	be	AUX
ap-7673	39	4	constructed	construct	VERB
ap-7673	39	5	by	by	ADP
ap-7673	39	6	type	type	NOUN
ap-7673	39	7	a	a	PRON
ap-7673	39	8	and	and	CCONJ
ap-7673	39	9	type	type	NOUN
ap-7673	39	10	b	b	NOUN
ap-7673	39	11	atoms	atom	NOUN
ap-7673	39	12	,	,	PUNCT
ap-7673	39	13	in	in	ADP
ap-7673	39	14	this	this	DET
ap-7673	39	15	case	case	NOUN
ap-7673	39	16	,	,	PUNCT
ap-7673	39	17	a1	a1	NOUN
ap-7673	39	18	and	and	CCONJ
ap-7673	39	19	a2	a2	PROPN
ap-7673	39	20	correspond	correspond	VERB
ap-7673	39	21	to	to	ADP
ap-7673	39	22	the	the	DET
ap-7673	39	23	lattice	lattice	ADJ
ap-7673	39	24	unitary	unitary	ADJ
ap-7673	39	25	vectors	vector	NOUN
ap-7673	39	26	,	,	PUNCT
ap-7673	39	27	and	and	CCONJ
ap-7673	39	28	δn	δn	NOUN
ap-7673	39	29	are	be	AUX
ap-7673	39	30	the	the	DET
ap-7673	39	31	vectors	vector	NOUN
ap-7673	39	32	that	that	PRON
ap-7673	39	33	connect	connect	VERB
ap-7673	39	34	the	the	DET
ap-7673	39	35	atoms	atom	NOUN
ap-7673	39	36	a(b	a(b	ADJ
ap-7673	39	37	)	)	PUNCT
ap-7673	39	38	with	with	ADP
ap-7673	39	39	the	the	DET
ap-7673	39	40	nearest	near	ADJ
ap-7673	39	41	neighbors	neighbor	NOUN
ap-7673	39	42	.	.	PUNCT
ap-7673	40	1	(	(	PUNCT
ap-7673	40	2	b	b	X
ap-7673	40	3	)	)	PUNCT
ap-7673	40	4	reciprocal	reciprocal	ADJ
ap-7673	40	5	lattice	lattice	NOUN
ap-7673	40	6	,	,	PUNCT
ap-7673	40	7	which	which	PRON
ap-7673	40	8	is	be	AUX
ap-7673	40	9	characterized	characterize	VERB
ap-7673	40	10	by	by	ADP
ap-7673	40	11	the	the	DET
ap-7673	40	12	b1,2	b1,2	ADJ
ap-7673	40	13	vectors	vector	NOUN
ap-7673	40	14	and	and	CCONJ
ap-7673	40	15	k±	k±	PROPN
ap-7673	40	16	correspond	correspond	VERB
ap-7673	40	17	to	to	ADP
ap-7673	40	18	the	the	DET
ap-7673	40	19	two	two	NUM
ap-7673	40	20	possible	possible	ADJ
ap-7673	40	21	inequivalent	inequivalent	NOUN
ap-7673	40	22	points	point	NOUN
ap-7673	40	23	in	in	ADP
ap-7673	40	24	the	the	DET
ap-7673	40	25	lattice	lattice	NOUN
ap-7673	40	26	.	.	PUNCT
ap-7673	41	1	all	all	DET
ap-7673	41	2	subsequent	subsequent	ADJ
ap-7673	41	3	corners	corner	NOUN
ap-7673	41	4	are	be	AUX
ap-7673	41	5	determined	determine	VERB
ap-7673	41	6	from	from	ADP
ap-7673	41	7	either	either	DET
ap-7673	41	8	k+	k+	NOUN
ap-7673	41	9	or	or	CCONJ
ap-7673	41	10	k−	k−	PROPN
ap-7673	41	11	plus	plus	CCONJ
ap-7673	41	12	integer	integer	NOUN
ap-7673	41	13	multiples	multiple	NOUN
ap-7673	41	14	of	of	ADP
ap-7673	41	15	the	the	DET
ap-7673	41	16	vectors	vector	NOUN
ap-7673	41	17	b1	b1	VERB
ap-7673	41	18	=	=	SYM
ap-7673	41	19	2π	2π	PROPN
ap-7673	41	20	3a	3a	NUM
ap-7673	41	21	(	(	PUNCT
ap-7673	41	22	√	√	NUM
ap-7673	41	23	3	3	NUM
ap-7673	41	24	,	,	PUNCT
ap-7673	41	25	1	1	NUM
ap-7673	41	26	)	)	PUNCT
ap-7673	41	27	,	,	PUNCT
ap-7673	41	28	b2	b2	NOUN
ap-7673	41	29	=	=	SYM
ap-7673	41	30	2π	2π	PROPN
ap-7673	41	31	3a	3a	NUM
ap-7673	41	32	(	(	PUNCT
ap-7673	41	33	−	−	PROPN
ap-7673	41	34	√	√	NUM
ap-7673	41	35	3	3	NUM
ap-7673	41	36	,	,	PUNCT
ap-7673	41	37	1	1	NUM
ap-7673	41	38	)	)	PUNCT
ap-7673	41	39	.	.	PUNCT
ap-7673	42	1	(	(	PUNCT
ap-7673	42	2	3	3	X
ap-7673	42	3	)	)	PUNCT
ap-7673	42	4	vectors	vector	NOUN
ap-7673	42	5	ai	ai	VERB
ap-7673	42	6	and	and	CCONJ
ap-7673	42	7	bj	bj	VERB
ap-7673	42	8	fulfill	fulfill	VERB
ap-7673	42	9	the	the	DET
ap-7673	42	10	condition	condition	NOUN
ap-7673	42	11	ai	ai	VERB
ap-7673	42	12	·	·	PUNCT
ap-7673	42	13	bj	bj	VERB
ap-7673	42	14	=	=	PROPN
ap-7673	42	15	2πδij	2πδij	NUM
ap-7673	42	16	.	.	PUNCT
ap-7673	43	1	2.1	2.1	NUM
ap-7673	43	2	.	.	PUNCT
ap-7673	43	3	tight	tight	ADV
ap-7673	43	4	-	-	PUNCT
ap-7673	43	5	binding	bind	VERB
ap-7673	43	6	model	model	NOUN
ap-7673	43	7	the	the	DET
ap-7673	43	8	tight	tight	ADV
ap-7673	43	9	-	-	PUNCT
ap-7673	43	10	binding	bind	VERB
ap-7673	43	11	hamiltonian	hamiltonian	NOUN
ap-7673	43	12	describes	describe	VERB
ap-7673	43	13	the	the	DET
ap-7673	43	14	hopping	hopping	NOUN
ap-7673	43	15	of	of	ADP
ap-7673	43	16	an	an	DET
ap-7673	43	17	electron	electron	NOUN
ap-7673	43	18	from	from	ADP
ap-7673	43	19	an	an	DET
ap-7673	43	20	atom	atom	NOUN
ap-7673	43	21	a	a	DET
ap-7673	43	22	(	(	PUNCT
ap-7673	43	23	b	b	NOUN
ap-7673	43	24	)	)	PUNCT
ap-7673	43	25	to	to	ADP
ap-7673	43	26	an	an	DET
ap-7673	43	27	atom	atom	NOUN
ap-7673	43	28	b	b	PROPN
ap-7673	43	29	(	(	PUNCT
ap-7673	43	30	a	a	NOUN
ap-7673	43	31	)	)	PUNCT
ap-7673	43	32	h	h	NOUN
ap-7673	43	33	=	=	PUNCT
ap-7673	43	34	−t	−t	PROPN
ap-7673	43	35	∑	∑	PUNCT
ap-7673	43	36	ri	ri	PROPN
ap-7673	43	37	3∑	3∑	NUM
ap-7673	43	38	n=1	n=1	PROPN
ap-7673	43	39	(	(	PUNCT
ap-7673	43	40	|ari	|ari	NOUN
ap-7673	43	41	⟩	⟩	NOUN
ap-7673	43	42	⟨bri+δn	⟨bri+δn	VERB
ap-7673	44	1	|	|	ADV
ap-7673	44	2	+	+	CCONJ
ap-7673	44	3	|bri+δn	|bri+δn	VERB
ap-7673	44	4	⟩	⟩	NOUN
ap-7673	44	5	⟨ari	⟨ari	PROPN
ap-7673	44	6	|	|	ADV
ap-7673	44	7	)	)	PUNCT
ap-7673	44	8	,	,	PUNCT
ap-7673	44	9	(	(	PUNCT
ap-7673	44	10	4	4	X
ap-7673	44	11	)	)	PUNCT
ap-7673	44	12	where	where	SCONJ
ap-7673	44	13	t	t	PROPN
ap-7673	44	14	≈	≈	PROPN
ap-7673	44	15	3	3	NUM
ap-7673	44	16	ev	ev	NOUN
ap-7673	44	17	is	be	AUX
ap-7673	44	18	called	call	VERB
ap-7673	44	19	the	the	DET
ap-7673	44	20	hopping	hop	VERB
ap-7673	44	21	integral	integral	ADJ
ap-7673	44	22	,	,	PUNCT
ap-7673	44	23	ri	ri	PROPN
ap-7673	44	24	runs	run	NOUN
ap-7673	44	25	over	over	ADP
ap-7673	44	26	all	all	DET
ap-7673	44	27	sites	site	NOUN
ap-7673	44	28	in	in	ADP
ap-7673	44	29	the	the	DET
ap-7673	44	30	sublattice	sublattice	NOUN
ap-7673	44	31	a	a	PRON
ap-7673	44	32	,	,	PUNCT
ap-7673	44	33	thus	thus	ADV
ap-7673	44	34	|ari	|ari	ADJ
ap-7673	44	35	⟩	⟩	NOUN
ap-7673	44	36	is	be	AUX
ap-7673	44	37	a	a	DET
ap-7673	44	38	state	state	NOUN
ap-7673	44	39	vector	vector	NOUN
ap-7673	44	40	in	in	ADP
ap-7673	44	41	these	these	DET
ap-7673	44	42	sites	site	NOUN
ap-7673	44	43	,	,	PUNCT
ap-7673	44	44	the	the	DET
ap-7673	44	45	same	same	ADJ
ap-7673	44	46	applies	apply	VERB
ap-7673	44	47	to	to	ADP
ap-7673	44	48	b	b	PROPN
ap-7673	44	49	and	and	CCONJ
ap-7673	44	50	|bri+δn⟩	|bri+δn⟩	PROPN
ap-7673	44	51	,	,	PUNCT
ap-7673	44	52	recall	recall	VERB
ap-7673	44	53	that	that	SCONJ
ap-7673	44	54	δn	δn	PROPN
ap-7673	44	55	connects	connect	VERB
ap-7673	44	56	the	the	DET
ap-7673	44	57	atoms	atom	NOUN
ap-7673	44	58	of	of	ADP
ap-7673	44	59	the	the	DET
ap-7673	44	60	sublattice	sublattice	NOUN
ap-7673	44	61	a(b	a(b	PROPN
ap-7673	44	62	)	)	PUNCT
ap-7673	44	63	with	with	ADP
ap-7673	44	64	its	its	PRON
ap-7673	44	65	nearest	near	ADJ
ap-7673	44	66	neighbors	neighbor	NOUN
ap-7673	44	67	in	in	ADP
ap-7673	44	68	the	the	DET
ap-7673	44	69	sublattice	sublattice	NOUN
ap-7673	44	70	b(a	b(a	NOUN
ap-7673	44	71	)	)	PUNCT
ap-7673	44	72	.	.	PUNCT
ap-7673	45	1	the	the	DET
ap-7673	45	2	translational	translational	ADJ
ap-7673	45	3	symmetry	symmetry	NOUN
ap-7673	45	4	suggests	suggest	VERB
ap-7673	45	5	the	the	DET
ap-7673	45	6	use	use	NOUN
ap-7673	45	7	of	of	ADP
ap-7673	45	8	bloch	bloch	PROPN
ap-7673	45	9	states	state	VERB
ap-7673	45	10	|ψbloch⟩	|ψbloch⟩	NOUN
ap-7673	45	11	=	=	PROPN
ap-7673	45	12	1√	1√	PROPN
ap-7673	45	13	nc	nc	PROPN
ap-7673	45	14	∑	∑	PROPN
ap-7673	45	15	rj	rj	PROPN
ap-7673	45	16	(	(	PUNCT
ap-7673	45	17	eik·rjψa(k	eik·rjψa(k	NOUN
ap-7673	45	18	)	)	PUNCT
ap-7673	45	19	|arj	|arj	PROPN
ap-7673	45	20	⟩	⟩	NOUN
ap-7673	45	21	+	+	SYM
ap-7673	45	22	eik·(rj+δ3)ψb(k	eik·(rj+δ3)ψb(k	NOUN
ap-7673	45	23	)	)	PUNCT
ap-7673	45	24	|brj+δ3⟩	|brj+δ3⟩	ADV
ap-7673	45	25	)	)	PUNCT
ap-7673	45	26	,	,	PUNCT
ap-7673	45	27	(	(	PUNCT
ap-7673	45	28	5	5	X
ap-7673	45	29	)	)	PUNCT
ap-7673	45	30	where	where	SCONJ
ap-7673	45	31	nc	nc	PROPN
ap-7673	45	32	is	be	AUX
ap-7673	45	33	the	the	DET
ap-7673	45	34	number	number	NOUN
ap-7673	45	35	of	of	ADP
ap-7673	45	36	the	the	DET
ap-7673	45	37	unitary	unitary	ADJ
ap-7673	45	38	cell	cell	NOUN
ap-7673	46	1	[	[	X
ap-7673	46	2	22	22	NUM
ap-7673	46	3	]	]	PUNCT
ap-7673	46	4	.	.	PUNCT
ap-7673	47	1	then	then	ADV
ap-7673	47	2	h	h	PROPN
ap-7673	47	3	|ψ⟩	|ψ⟩	PROPN
ap-7673	47	4	=	=	SYM
ap-7673	47	5	e	e	PROPN
ap-7673	47	6	|ψ⟩	|ψ⟩	PROPN
ap-7673	47	7	becomes	become	VERB
ap-7673	47	8	a	a	DET
ap-7673	47	9	matrix	matrix	NOUN
ap-7673	47	10	problem	problem	PROPN
ap-7673	47	11	0	0	NUM
ap-7673	47	12	−t	−t	NOUN
ap-7673	47	13	3∑	3∑	NUM
ap-7673	47	14	n=1	n=1	PUNCT
ap-7673	47	15	e−ik·δn	e−ik·δn	VERB
ap-7673	47	16	−t	−t	NOUN
ap-7673	47	17	3∑	3∑	NUM
ap-7673	47	18	n=1	n=1	ADP
ap-7673	47	19	eik·δn	eik·δn	ADJ
ap-7673	47	20	0	0	NUM
ap-7673	47	21	(ψa	(ψa	ADV
ap-7673	47	22	ψb	ψb	ADJ
ap-7673	47	23	)	)	PUNCT
ap-7673	48	1	=	=	SYM
ap-7673	48	2	e	e	X
ap-7673	48	3	(	(	PUNCT
ap-7673	48	4	ψa	ψa	PART
ap-7673	48	5	ψb	ψb	ADV
ap-7673	48	6	)	)	PUNCT
ap-7673	48	7	,	,	PUNCT
ap-7673	48	8	(	(	PUNCT
ap-7673	48	9	6	6	NUM
ap-7673	48	10	)	)	PUNCT
ap-7673	48	11	with	with	ADP
ap-7673	48	12	ψa	ψa	PROPN
ap-7673	48	13	≡	≡	PROPN
ap-7673	48	14	ψa(k	ψa(k	PUNCT
ap-7673	48	15	)	)	PUNCT
ap-7673	48	16	and	and	CCONJ
ap-7673	48	17	ψb	ψb	INTJ
ap-7673	48	18	≡	≡	PROPN
ap-7673	48	19	ψb(k	ψb(k	NOUN
ap-7673	48	20	)	)	PUNCT
ap-7673	48	21	and	and	CCONJ
ap-7673	48	22	the	the	DET
ap-7673	48	23	energy	energy	NOUN
ap-7673	48	24	term	term	NOUN
ap-7673	48	25	given	give	VERB
ap-7673	48	26	by	by	ADP
ap-7673	48	27	e±	e±	PROPN
ap-7673	48	28	=	=	SYM
ap-7673	48	29	±	±	NUM
ap-7673	48	30	∣∣∣∣∣t	∣∣∣∣∣t	NOUN
ap-7673	48	31	3∑	3∑	NUM
ap-7673	48	32	n=1	n=1	PROPN
ap-7673	48	33	e−ik·δn	e−ik·δn	VERB
ap-7673	48	34	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ap-7673	48	35	=	=	SYM
ap-7673	49	1	±t	±t	VERB
ap-7673	49	2	√	√	ADV
ap-7673	49	3	3	3	NUM
ap-7673	49	4	+	+	SYM
ap-7673	49	5	2	2	NUM
ap-7673	49	6	cos	cos	NOUN
ap-7673	49	7	(	(	PUNCT
ap-7673	49	8	√	√	NUM
ap-7673	49	9	3kxa	3kxa	NUM
ap-7673	49	10	)	)	PUNCT
ap-7673	50	1	+	+	CCONJ
ap-7673	50	2	4	4	NUM
ap-7673	50	3	cos	cos	NOUN
ap-7673	50	4	(	(	PUNCT
ap-7673	50	5	√	√	PROPN
ap-7673	50	6	3kx	3kx	NOUN
ap-7673	50	7	a	a	DET
ap-7673	50	8	2	2	NUM
ap-7673	50	9	)	)	PUNCT
ap-7673	50	10	cos(3ky	cos(3ky	NOUN
ap-7673	50	11	a	a	DET
ap-7673	50	12	2	2	NUM
ap-7673	50	13	)	)	PUNCT
ap-7673	50	14	.	.	PUNCT
ap-7673	51	1	to	to	PART
ap-7673	51	2	obtain	obtain	VERB
ap-7673	51	3	an	an	DET
ap-7673	51	4	effective	effective	ADJ
ap-7673	51	5	hamiltonian	hamiltonian	NOUN
ap-7673	51	6	at	at	ADP
ap-7673	51	7	low	low	ADJ
ap-7673	51	8	energy	energy	NOUN
ap-7673	51	9	,	,	PUNCT
ap-7673	51	10	we	we	PRON
ap-7673	51	11	can	can	AUX
ap-7673	51	12	consider	consider	VERB
ap-7673	51	13	the	the	DET
ap-7673	51	14	taylor	taylor	PROPN
ap-7673	51	15	series	series	PROPN
ap-7673	51	16	around	around	ADP
ap-7673	51	17	the	the	DET
ap-7673	51	18	dirac	dirac	NOUN
ap-7673	51	19	points	point	NOUN
ap-7673	51	20	h(k	h(k	PROPN
ap-7673	51	21	=	=	X
ap-7673	52	1	k±	k±	PROPN
ap-7673	53	1	+	+	NOUN
ap-7673	53	2	q	q	NOUN
ap-7673	53	3	)	)	PUNCT
ap-7673	53	4	≈	≈	PROPN
ap-7673	53	5	q	q	NOUN
ap-7673	53	6	·	·	PUNCT
ap-7673	53	7	∇kh|k±	∇kh|k±	X
ap-7673	53	8	.	.	PUNCT
ap-7673	54	1	note	note	VERB
ap-7673	54	2	that	that	SCONJ
ap-7673	54	3	e(k±	e(k±	X
ap-7673	54	4	)	)	PUNCT
ap-7673	54	5	=	=	SYM
ap-7673	55	1	0	0	NUM
ap-7673	55	2	,	,	PUNCT
ap-7673	55	3	as	as	ADP
ap-7673	55	4	a	a	DET
ap-7673	55	5	consequence	consequence	NOUN
ap-7673	55	6	,	,	PUNCT
ap-7673	55	7	at	at	ADP
ap-7673	55	8	these	these	DET
ap-7673	55	9	points	point	NOUN
ap-7673	55	10	,	,	PUNCT
ap-7673	55	11	the	the	DET
ap-7673	55	12	valence	valence	NOUN
ap-7673	55	13	and	and	CCONJ
ap-7673	55	14	conduction	conduction	NOUN
ap-7673	55	15	bands	band	NOUN
ap-7673	55	16	are	be	AUX
ap-7673	55	17	connected	connect	VERB
ap-7673	55	18	.	.	PUNCT
ap-7673	56	1	the	the	DET
ap-7673	56	2	above	above	ADJ
ap-7673	56	3	calculus	calculus	NOUN
ap-7673	56	4	leads	lead	VERB
ap-7673	56	5	to	to	ADP
ap-7673	56	6	the	the	DET
ap-7673	56	7	analog	analog	NOUN
ap-7673	56	8	of	of	ADP
ap-7673	56	9	the	the	DET
ap-7673	56	10	dirac	dirac	NOUN
ap-7673	56	11	-	-	PUNCT
ap-7673	56	12	weyl	weyl	VERB
ap-7673	56	13	equation	equation	NOUN
ap-7673	56	14	hϱψ	hϱψ	VERB
ap-7673	57	1	=	=	VERB
ap-7673	57	2	ℏv0(ϱσ1qx	ℏv0(ϱσ1qx	NOUN
ap-7673	57	3	+	+	CCONJ
ap-7673	57	4	σ2qy)ψ	σ2qy)ψ	PROPN
ap-7673	57	5	=	=	SYM
ap-7673	57	6	eψ	eψ	NOUN
ap-7673	57	7	,	,	PUNCT
ap-7673	57	8	(	(	PUNCT
ap-7673	57	9	7	7	NUM
ap-7673	57	10	)	)	PUNCT
ap-7673	57	11	where	where	SCONJ
ap-7673	57	12	ϱ	ϱ	X
ap-7673	57	13	=	=	SYM
ap-7673	57	14	±1	±1	VERB
ap-7673	57	15	correspond	correspond	ADV
ap-7673	57	16	to	to	ADP
ap-7673	57	17	the	the	DET
ap-7673	57	18	k±	k±	PROPN
ap-7673	57	19	valleys	valley	NOUN
ap-7673	57	20	,	,	PUNCT
ap-7673	57	21	v0	v0	PROPN
ap-7673	57	22	is	be	AUX
ap-7673	57	23	called	call	VERB
ap-7673	57	24	the	the	DET
ap-7673	57	25	fermi	fermi	NOUN
ap-7673	57	26	velocity	velocity	NOUN
ap-7673	57	27	,	,	PUNCT
ap-7673	57	28	in	in	ADP
ap-7673	57	29	graphene	graphene	NOUN
ap-7673	57	30	,	,	PUNCT
ap-7673	57	31	v0	v0	NOUN
ap-7673	57	32	=	=	SYM
ap-7673	58	1	3ta/2ℏ	3ta/2ℏ	PROPN
ap-7673	59	1	≈	≈	PROPN
ap-7673	59	2	c/300	c/300	PROPN
ap-7673	59	3	,	,	PUNCT
ap-7673	59	4	with	with	ADP
ap-7673	59	5	c	c	PROPN
ap-7673	59	6	being	be	AUX
ap-7673	59	7	the	the	DET
ap-7673	59	8	velocity	velocity	NOUN
ap-7673	59	9	of	of	ADP
ap-7673	59	10	light	light	NOUN
ap-7673	59	11	,	,	PUNCT
ap-7673	59	12	σi	σi	PRON
ap-7673	59	13	are	be	AUX
ap-7673	59	14	the	the	DET
ap-7673	59	15	pauli	pauli	PROPN
ap-7673	59	16	matrices	matrice	VERB
ap-7673	59	17	σ1	σ1	PROPN
ap-7673	59	18	=	=	PUNCT
ap-7673	59	19	(	(	PUNCT
ap-7673	59	20	0	0	NUM
ap-7673	59	21	1	1	NUM
ap-7673	59	22	1	1	NUM
ap-7673	59	23	0	0	NUM
ap-7673	59	24	)	)	PUNCT
ap-7673	59	25	,	,	PUNCT
ap-7673	59	26	σ2	σ2	NOUN
ap-7673	59	27	=	=	SYM
ap-7673	59	28	(	(	PUNCT
ap-7673	59	29	0	0	NUM
ap-7673	59	30	−i	−i	NOUN
ap-7673	59	31	i	i	INTJ
ap-7673	59	32	0	0	NUM
ap-7673	59	33	)	)	PUNCT
ap-7673	59	34	,	,	PUNCT
ap-7673	59	35	σ3	σ3	NOUN
ap-7673	59	36	=	=	PUNCT
ap-7673	59	37	(	(	PUNCT
ap-7673	59	38	1	1	NUM
ap-7673	59	39	0	0	NUM
ap-7673	59	40	0	0	NUM
ap-7673	59	41	−1	−1	NOUN
ap-7673	59	42	)	)	PUNCT
ap-7673	59	43	,	,	PUNCT
ap-7673	59	44	(	(	PUNCT
ap-7673	59	45	8)	8)	NUM
ap-7673	59	46	and	and	CCONJ
ap-7673	59	47	ψ	ψ	NOUN
ap-7673	59	48	is	be	AUX
ap-7673	59	49	a	a	DET
ap-7673	59	50	bi	bi	NOUN
ap-7673	59	51	-	-	NOUN
ap-7673	59	52	spinor	spinor	NOUN
ap-7673	59	53	.	.	PUNCT
ap-7673	60	1	the	the	DET
ap-7673	60	2	matrix	matrix	NOUN
ap-7673	60	3	nature	nature	NOUN
ap-7673	60	4	of	of	ADP
ap-7673	60	5	this	this	DET
ap-7673	60	6	equation	equation	NOUN
ap-7673	60	7	is	be	AUX
ap-7673	60	8	related	relate	VERB
ap-7673	60	9	to	to	ADP
ap-7673	60	10	the	the	DET
ap-7673	60	11	sublattices	sublattice	NOUN
ap-7673	60	12	a	a	PRON
ap-7673	60	13	and	and	CCONJ
ap-7673	60	14	b	b	NOUN
ap-7673	60	15	,	,	PUNCT
ap-7673	60	16	this	this	DET
ap-7673	60	17	degree	degree	NOUN
ap-7673	60	18	of	of	ADP
ap-7673	60	19	freedom	freedom	NOUN
ap-7673	60	20	is	be	AUX
ap-7673	60	21	called	call	VERB
ap-7673	60	22	pseudo	pseudo	NOUN
ap-7673	60	23	-	-	NOUN
ap-7673	60	24	spin	spin	NOUN
ap-7673	60	25	.	.	PUNCT
ap-7673	61	1	notice	notice	VERB
ap-7673	61	2	that	that	SCONJ
ap-7673	61	3	at	at	ADP
ap-7673	61	4	low	low	ADJ
ap-7673	61	5	energies	energy	NOUN
ap-7673	61	6	,	,	PUNCT
ap-7673	61	7	the	the	DET
ap-7673	61	8	dispersion	dispersion	NOUN
ap-7673	61	9	relation	relation	NOUN
ap-7673	61	10	is	be	AUX
ap-7673	61	11	linear	linear	ADJ
ap-7673	61	12	,	,	PUNCT
ap-7673	61	13	given	give	VERB
ap-7673	61	14	by	by	ADP
ap-7673	61	15	e±(q	e±(q	PRON
ap-7673	61	16	)	)	PUNCT
ap-7673	61	17	=	=	PUNCT
ap-7673	61	18	±ℏv0|q|	±ℏv0|q|	NOUN
ap-7673	61	19	,	,	PUNCT
ap-7673	61	20	then	then	ADV
ap-7673	61	21	,	,	PUNCT
ap-7673	61	22	the	the	DET
ap-7673	61	23	dirac	dirac	NOUN
ap-7673	61	24	cones	cone	NOUN
ap-7673	61	25	are	be	AUX
ap-7673	61	26	connecting	connect	VERB
ap-7673	61	27	at	at	ADP
ap-7673	61	28	e±	e±	PROPN
ap-7673	61	29	=	=	PROPN
ap-7673	61	30	0	0	NUM
ap-7673	61	31	,	,	PUNCT
ap-7673	61	32	as	as	SCONJ
ap-7673	61	33	expected	expect	VERB
ap-7673	61	34	for	for	ADP
ap-7673	61	35	particles	particle	NOUN
ap-7673	61	36	without	without	ADP
ap-7673	61	37	mass	mass	NOUN
ap-7673	61	38	[	[	X
ap-7673	61	39	23	23	NUM
ap-7673	61	40	]	]	PUNCT
ap-7673	61	41	.	.	PUNCT
ap-7673	62	1	2.2	2.2	NUM
ap-7673	62	2	.	.	PUNCT
ap-7673	62	3	uniform	uniform	NOUN
ap-7673	62	4	strain	strain	VERB
ap-7673	62	5	the	the	DET
ap-7673	62	6	photonic	photonic	ADJ
ap-7673	62	7	analog	analog	NOUN
ap-7673	62	8	of	of	ADP
ap-7673	62	9	a	a	DET
ap-7673	62	10	graphene	graphene	NOUN
ap-7673	62	11	lattice	lattice	NOUN
ap-7673	62	12	is	be	AUX
ap-7673	62	13	built	build	VERB
ap-7673	62	14	with	with	ADP
ap-7673	62	15	weakly	weakly	ADJ
ap-7673	62	16	coupled	couple	VERB
ap-7673	62	17	optical	optical	ADJ
ap-7673	62	18	fibers	fiber	NOUN
ap-7673	62	19	.	.	PUNCT
ap-7673	63	1	this	this	DET
ap-7673	63	2	kind	kind	NOUN
ap-7673	63	3	of	of	ADP
ap-7673	63	4	photonic	photonic	ADJ
ap-7673	63	5	system	system	NOUN
ap-7673	63	6	is	be	AUX
ap-7673	63	7	described	describe	VERB
ap-7673	63	8	by	by	ADP
ap-7673	63	9	the	the	DET
ap-7673	63	10	same	same	ADJ
ap-7673	63	11	tight	tight	ADV
ap-7673	63	12	-	-	PUNCT
ap-7673	63	13	binding	bind	VERB
ap-7673	63	14	hamiltonian	hamiltonian	NOUN
ap-7673	63	15	in	in	ADP
ap-7673	63	16	graphene	graphene	NOUN
ap-7673	63	17	with	with	ADP
ap-7673	63	18	an	an	DET
ap-7673	63	19	additional	additional	ADJ
ap-7673	63	20	term	term	NOUN
ap-7673	63	21	γa	γa	PROPN
ap-7673	63	22	/	/	SYM
ap-7673	63	23	b	b	PROPN
ap-7673	63	24	;	;	PUNCT
ap-7673	63	25	that	that	PRON
ap-7673	63	26	represents	represent	VERB
ap-7673	63	27	the	the	DET
ap-7673	63	28	gain	gain	NOUN
ap-7673	63	29	and	and	CCONJ
ap-7673	63	30	loss	loss	NOUN
ap-7673	63	31	in	in	ADP
ap-7673	63	32	the	the	DET
ap-7673	63	33	optical	optical	ADJ
ap-7673	63	34	fibers	fiber	NOUN
ap-7673	63	35	in	in	ADP
ap-7673	63	36	the	the	DET
ap-7673	63	37	position	position	NOUN
ap-7673	63	38	a	a	DET
ap-7673	63	39	/	/	SYM
ap-7673	63	40	b	b	NOUN
ap-7673	63	41	,	,	PUNCT
ap-7673	63	42	this	this	DET
ap-7673	63	43	new	new	ADJ
ap-7673	63	44	term	term	NOUN
ap-7673	63	45	produces	produce	VERB
ap-7673	63	46	an	an	DET
ap-7673	63	47	attenuation	attenuation	NOUN
ap-7673	63	48	or	or	CCONJ
ap-7673	63	49	amplification	amplification	NOUN
ap-7673	63	50	in	in	ADP
ap-7673	63	51	the	the	DET
ap-7673	63	52	optical	optical	ADJ
ap-7673	63	53	modes	mode	NOUN
ap-7673	63	54	.	.	PUNCT
ap-7673	64	1	if	if	SCONJ
ap-7673	64	2	we	we	PRON
ap-7673	64	3	consider	consider	VERB
ap-7673	64	4	uniform	uniform	ADJ
ap-7673	64	5	strain	strain	NOUN
ap-7673	64	6	in	in	ADP
ap-7673	64	7	the	the	DET
ap-7673	64	8	lattices	lattice	NOUN
ap-7673	64	9	,	,	PUNCT
ap-7673	64	10	which	which	PRON
ap-7673	64	11	is	be	AUX
ap-7673	64	12	represented	represent	VERB
ap-7673	64	13	by	by	ADP
ap-7673	64	14	a	a	DET
ap-7673	64	15	strain	strain	NOUN
ap-7673	64	16	tensor	tensor	NOUN
ap-7673	64	17	u	u	NOUN
ap-7673	64	18	=	=	PUNCT
ap-7673	64	19	(	(	PUNCT
ap-7673	64	20	u11	u11	PROPN
ap-7673	64	21	0	0	NUM
ap-7673	64	22	0	0	NUM
ap-7673	64	23	u22	u22	PROPN
ap-7673	64	24	)	)	PUNCT
ap-7673	64	25	,	,	PUNCT
ap-7673	64	26	(	(	PUNCT
ap-7673	64	27	9	9	X
ap-7673	64	28	)	)	PUNCT
ap-7673	64	29	the	the	DET
ap-7673	64	30	fermi	fermi	NOUN
ap-7673	64	31	velocity	velocity	NOUN
ap-7673	64	32	is	be	AUX
ap-7673	64	33	modified	modify	VERB
ap-7673	64	34	in	in	ADP
ap-7673	64	35	the	the	DET
ap-7673	64	36	following	follow	VERB
ap-7673	64	37	form	form	NOUN
ap-7673	64	38	vij	vij	PROPN
ap-7673	64	39	=	=	SYM
ap-7673	64	40	v0(1	v0(1	PROPN
ap-7673	64	41	+	+	CCONJ
ap-7673	64	42	(	(	PUNCT
ap-7673	64	43	1	1	NUM
ap-7673	64	44	−	−	PROPN
ap-7673	64	45	β)uij	β)uij	NOUN
ap-7673	64	46	)	)	PUNCT
ap-7673	64	47	.	.	PUNCT
ap-7673	65	1	(	(	PUNCT
ap-7673	65	2	10	10	NUM
ap-7673	65	3	)	)	PUNCT
ap-7673	65	4	the	the	DET
ap-7673	65	5	hopping	hop	VERB
ap-7673	65	6	integrals	integral	NOUN
ap-7673	65	7	are	be	AUX
ap-7673	65	8	modified	modify	VERB
ap-7673	65	9	with	with	ADP
ap-7673	65	10	a	a	DET
ap-7673	65	11	little	little	ADJ
ap-7673	65	12	perturbation	perturbation	NOUN
ap-7673	65	13	t	t	PROPN
ap-7673	65	14	→	→	SYM
ap-7673	65	15	tn	tn	PROPN
ap-7673	65	16	,	,	PUNCT
ap-7673	65	17	that	that	SCONJ
ap-7673	65	18	,	,	PUNCT
ap-7673	65	19	considering	consider	VERB
ap-7673	65	20	the	the	DET
ap-7673	65	21	changes	change	NOUN
ap-7673	65	22	in	in	ADP
ap-7673	65	23	the	the	DET
ap-7673	65	24	orbitals	orbital	NOUN
ap-7673	65	25	by	by	ADP
ap-7673	65	26	the	the	DET
ap-7673	65	27	modification	modification	NOUN
ap-7673	65	28	of	of	ADP
ap-7673	65	29	the	the	DET
ap-7673	65	30	carbon	carbon	NOUN
ap-7673	65	31	distances	distance	NOUN
ap-7673	65	32	tn	tn	PROPN
ap-7673	66	1	≈	≈	PROPN
ap-7673	66	2	t	t	PROPN
ap-7673	66	3	(	(	PUNCT
ap-7673	66	4	1	1	NUM
ap-7673	66	5	−	−	PROPN
ap-7673	66	6	β	β	X
ap-7673	66	7	a2	a2	PROPN
ap-7673	66	8	δn	δn	X
ap-7673	66	9	·	·	PUNCT
ap-7673	66	10	u	u	NOUN
ap-7673	66	11	·	·	PUNCT
ap-7673	66	12	δn	δn	PROPN
ap-7673	66	13	)	)	PUNCT
ap-7673	66	14	,	,	PUNCT
ap-7673	66	15	(	(	PUNCT
ap-7673	66	16	11	11	NUM
ap-7673	66	17	)	)	SYM
ap-7673	66	18	24	24	NUM
ap-7673	66	19	vol	vol	NOUN
ap-7673	66	20	.	.	PUNCT
ap-7673	67	1	62	62	NUM
ap-7673	67	2	no	no	INTJ
ap-7673	67	3	.	.	PUNCT
ap-7673	68	1	1/2022	1/2022	NUM
ap-7673	68	2	photonic	photonic	ADJ
ap-7673	68	3	graphene	graphene	NOUN
ap-7673	68	4	under	under	ADP
ap-7673	68	5	strain	strain	NOUN
ap-7673	68	6	with	with	ADP
ap-7673	68	7	position	position	NOUN
ap-7673	68	8	-	-	PUNCT
ap-7673	68	9	dependent	dependent	ADJ
ap-7673	68	10	.	.	PUNCT
ap-7673	68	11	.	.	PUNCT
ap-7673	68	12	.	.	PUNCT
ap-7673	69	1	where	where	SCONJ
ap-7673	69	2	β	β	X
ap-7673	69	3	=	=	SYM
ap-7673	69	4	−	−	PROPN
ap-7673	69	5	∂	∂	NUM
ap-7673	69	6	ln	ln	PROPN
ap-7673	69	7	t	t	PROPN
ap-7673	69	8	∂	∂	NOUN
ap-7673	69	9	ln	ln	NOUN
ap-7673	69	10	a	a	DET
ap-7673	69	11	(	(	PUNCT
ap-7673	69	12	12	12	NUM
ap-7673	69	13	)	)	PUNCT
ap-7673	69	14	is	be	AUX
ap-7673	69	15	the	the	DET
ap-7673	69	16	grüneisen	grüneisen	ADJ
ap-7673	69	17	parameter	parameter	NOUN
ap-7673	69	18	that	that	PRON
ap-7673	69	19	depends	depend	VERB
ap-7673	69	20	on	on	ADP
ap-7673	69	21	the	the	DET
ap-7673	69	22	model	model	NOUN
ap-7673	69	23	;	;	PUNCT
ap-7673	69	24	for	for	ADP
ap-7673	69	25	graphene	graphene	NOUN
ap-7673	69	26	,	,	PUNCT
ap-7673	69	27	β	β	X
ap-7673	69	28	is	be	AUX
ap-7673	69	29	between	between	ADP
ap-7673	69	30	2	2	NUM
ap-7673	69	31	and	and	CCONJ
ap-7673	69	32	3	3	NUM
ap-7673	69	33	[	[	X
ap-7673	69	34	10	10	NUM
ap-7673	69	35	]	]	PUNCT
ap-7673	69	36	(	(	PUNCT
ap-7673	69	37	see	see	VERB
ap-7673	69	38	also	also	ADV
ap-7673	69	39	[	[	X
ap-7673	69	40	24	24	NUM
ap-7673	69	41	,	,	PUNCT
ap-7673	69	42	25	25	NUM
ap-7673	69	43	]	]	PUNCT
ap-7673	69	44	)	)	PUNCT
ap-7673	69	45	.	.	PUNCT
ap-7673	70	1	in	in	ADP
ap-7673	70	2	photonic	photonic	ADJ
ap-7673	70	3	graphene	graphene	NOUN
ap-7673	70	4	,	,	PUNCT
ap-7673	70	5	a	a	PRON
ap-7673	70	6	is	be	AUX
ap-7673	70	7	the	the	DET
ap-7673	70	8	distance	distance	NOUN
ap-7673	70	9	between	between	ADP
ap-7673	70	10	adjacent	adjacent	ADJ
ap-7673	70	11	waveguides	waveguide	NOUN
ap-7673	70	12	.	.	PUNCT
ap-7673	71	1	the	the	DET
ap-7673	71	2	hamiltonian	hamiltonian	NOUN
ap-7673	71	3	of	of	ADP
ap-7673	71	4	a	a	DET
ap-7673	71	5	photonic	photonic	ADJ
ap-7673	71	6	graphene	graphene	NOUN
ap-7673	71	7	with	with	ADP
ap-7673	71	8	a	a	DET
ap-7673	71	9	uniform	uniform	ADJ
ap-7673	71	10	strain	strain	NOUN
ap-7673	71	11	reads	read	VERB
ap-7673	71	12	as	as	ADP
ap-7673	71	13	h	h	NOUN
ap-7673	71	14	=	=	VERB
ap-7673	71	15	γa	γa	PROPN
ap-7673	71	16	∑	∑	PART
ap-7673	71	17	ri	ri	PROPN
ap-7673	71	18	|ari	|ari	NOUN
ap-7673	71	19	⟩	⟩	NOUN
ap-7673	71	20	⟨ari	⟨ari	PROPN
ap-7673	71	21	|	|	ADV
ap-7673	71	22	+	+	CCONJ
ap-7673	71	23	γb	γb	PROPN
ap-7673	71	24	∑	∑	PROPN
ap-7673	71	25	ri	ri	PROPN
ap-7673	71	26	|bri+δn	|bri+δn	PROPN
ap-7673	71	27	⟩	⟩	PROPN
ap-7673	71	28	⟨bri+δn	⟨bri+δn	INTJ
ap-7673	71	29	|	|	ADV
ap-7673	71	30	−	−	NOUN
ap-7673	71	31	∑	∑	PUNCT
ap-7673	71	32	ri	ri	PROPN
ap-7673	71	33	3∑	3∑	NUM
ap-7673	71	34	n=1	n=1	PUNCT
ap-7673	71	35	tn(|ari	tn(|ari	PROPN
ap-7673	71	36	⟩	⟩	NOUN
ap-7673	71	37	⟨bri+δn	⟨bri+δn	VERB
ap-7673	72	1	|	|	ADV
ap-7673	72	2	+	+	CCONJ
ap-7673	72	3	|bri+δn	|bri+δn	VERB
ap-7673	72	4	⟩	⟩	NOUN
ap-7673	72	5	⟨ari	⟨ari	PROPN
ap-7673	72	6	|	|	ADV
ap-7673	72	7	)	)	PUNCT
ap-7673	72	8	.	.	PUNCT
ap-7673	73	1	(	(	PUNCT
ap-7673	73	2	13	13	NUM
ap-7673	73	3	)	)	PUNCT
ap-7673	73	4	the	the	DET
ap-7673	73	5	deformation	deformation	NOUN
ap-7673	73	6	of	of	ADP
ap-7673	73	7	the	the	DET
ap-7673	73	8	lattice	lattice	NOUN
ap-7673	73	9	produces	produce	VERB
ap-7673	73	10	a	a	DET
ap-7673	73	11	shift	shift	NOUN
ap-7673	73	12	of	of	ADP
ap-7673	73	13	the	the	DET
ap-7673	73	14	dirac	dirac	NOUN
ap-7673	73	15	points	point	NOUN
ap-7673	73	16	kd	kd	PROPN
ap-7673	73	17	±	±	PROPN
ap-7673	73	18	≈	≈	PROPN
ap-7673	73	19	(	(	PUNCT
ap-7673	73	20	1	1	NUM
ap-7673	73	21	−	−	PROPN
ap-7673	73	22	u	u	NOUN
ap-7673	73	23	)	)	PUNCT
ap-7673	73	24	·	·	PUNCT
ap-7673	74	1	k±	k±	PROPN
ap-7673	74	2	±	±	NUM
ap-7673	74	3	a	a	PRON
ap-7673	74	4	,	,	PUNCT
ap-7673	74	5	where	where	SCONJ
ap-7673	74	6	a	a	DET
ap-7673	74	7	=	=	X
ap-7673	74	8	(	(	PUNCT
ap-7673	74	9	ax	ax	NOUN
ap-7673	74	10	,	,	PUNCT
ap-7673	74	11	ay	ay	NOUN
ap-7673	74	12	)	)	PUNCT
ap-7673	74	13	ax	ax	NOUN
ap-7673	74	14	=	=	PUNCT
ap-7673	74	15	β	β	X
ap-7673	74	16	2a	2a	NUM
ap-7673	74	17	(	(	PUNCT
ap-7673	74	18	u11	u11	PROPN
ap-7673	74	19	−	−	PROPN
ap-7673	74	20	u22	u22	PROPN
ap-7673	74	21	)	)	PUNCT
ap-7673	74	22	,	,	PUNCT
ap-7673	74	23	ay	ay	NOUN
ap-7673	74	24	=	=	PUNCT
ap-7673	74	25	−	−	PROPN
ap-7673	74	26	β	β	X
ap-7673	74	27	2a	2a	NUM
ap-7673	74	28	(	(	PUNCT
ap-7673	74	29	2u12	2u12	NUM
ap-7673	74	30	)	)	PUNCT
ap-7673	74	31	.	.	PUNCT
ap-7673	75	1	(	(	PUNCT
ap-7673	75	2	14	14	NUM
ap-7673	75	3	)	)	PUNCT
ap-7673	75	4	using	use	VERB
ap-7673	75	5	the	the	DET
ap-7673	75	6	bloch	bloch	NOUN
ap-7673	75	7	solution	solution	NOUN
ap-7673	75	8	,	,	PUNCT
ap-7673	75	9	the	the	DET
ap-7673	75	10	hamiltonian	hamiltonian	NOUN
ap-7673	75	11	under	under	ADP
ap-7673	75	12	strain	strain	NOUN
ap-7673	75	13	takes	take	VERB
ap-7673	75	14	the	the	DET
ap-7673	75	15	form	form	NOUN
ap-7673	75	16	:	:	PUNCT
ap-7673	75	17	h	h	NOUN
ap-7673	75	18	=	=	SYM
ap-7673	76	1			PROPN
ap-7673	76	2	γa	γa	NOUN
ap-7673	76	3	−	−	PROPN
ap-7673	76	4	3∑	3∑	NUM
ap-7673	76	5	n=1	n=1	PROPN
ap-7673	76	6	tne	tne	NOUN
ap-7673	76	7	−ik·(1−u)·δn	−ik·(1−u)·δn	NOUN
ap-7673	76	8	−	−	PROPN
ap-7673	76	9	3∑	3∑	NUM
ap-7673	76	10	n=1	n=1	PROPN
ap-7673	76	11	tne	tne	NOUN
ap-7673	76	12	ik·(1−u)·δn	ik·(1−u)·δn	PROPN
ap-7673	76	13	γb	γb	NOUN
ap-7673	76	14			NOUN
ap-7673	76	15	,	,	PUNCT
ap-7673	76	16	(	(	PUNCT
ap-7673	76	17	15	15	NUM
ap-7673	76	18	)	)	PUNCT
ap-7673	76	19	under	under	ADP
ap-7673	76	20	the	the	DET
ap-7673	76	21	assumption	assumption	NOUN
ap-7673	76	22	|u·δn|	|u·δn|	PROPN
ap-7673	76	23	≪	≪	VERB
ap-7673	76	24	a.	a.	NOUN
ap-7673	76	25	in	in	ADP
ap-7673	76	26	this	this	DET
ap-7673	76	27	work	work	NOUN
ap-7673	76	28	,	,	PUNCT
ap-7673	76	29	we	we	PRON
ap-7673	76	30	will	will	AUX
ap-7673	76	31	assume	assume	VERB
ap-7673	76	32	that	that	SCONJ
ap-7673	76	33	γa	γa	PRON
ap-7673	76	34	=	=	PUNCT
ap-7673	76	35	iγ	iγ	PROPN
ap-7673	76	36	and	and	CCONJ
ap-7673	76	37	γb	γb	X
ap-7673	76	38	=	=	PUNCT
ap-7673	76	39	γ∗	γ∗	NOUN
ap-7673	76	40	a	a	PRON
ap-7673	76	41	,	,	PUNCT
ap-7673	76	42	then	then	ADV
ap-7673	76	43	,	,	PUNCT
ap-7673	76	44	for	for	ADP
ap-7673	76	45	positive	positive	ADJ
ap-7673	76	46	γ	γ	NOUN
ap-7673	76	47	,	,	PUNCT
ap-7673	76	48	the	the	DET
ap-7673	76	49	waveguides	waveguide	NOUN
ap-7673	76	50	in	in	ADP
ap-7673	76	51	the	the	DET
ap-7673	76	52	sublattice	sublattice	NOUN
ap-7673	76	53	a	a	DET
ap-7673	76	54	(	(	PUNCT
ap-7673	76	55	b	b	NOUN
ap-7673	76	56	)	)	PUNCT
ap-7673	76	57	present	present	VERB
ap-7673	76	58	the	the	DET
ap-7673	76	59	energy	energy	NOUN
ap-7673	76	60	gain	gain	NOUN
ap-7673	76	61	(	(	PUNCT
ap-7673	76	62	loss	loss	NOUN
ap-7673	76	63	)	)	PUNCT
ap-7673	76	64	,	,	PUNCT
ap-7673	76	65	as	as	ADP
ap-7673	76	66	in	in	ADP
ap-7673	76	67	the	the	DET
ap-7673	76	68	arrangements	arrangement	NOUN
ap-7673	76	69	proposed	propose	VERB
ap-7673	76	70	in	in	ADP
ap-7673	76	71	[	[	X
ap-7673	76	72	14	14	NUM
ap-7673	76	73	]	]	PUNCT
ap-7673	76	74	.	.	PUNCT
ap-7673	77	1	expanding	expand	VERB
ap-7673	77	2	this	this	DET
ap-7673	77	3	hamiltonian	hamiltonian	NOUN
ap-7673	77	4	around	around	ADP
ap-7673	77	5	the	the	DET
ap-7673	77	6	dirac	dirac	NOUN
ap-7673	77	7	points	point	NOUN
ap-7673	77	8	,	,	PUNCT
ap-7673	77	9	through	through	ADP
ap-7673	77	10	the	the	DET
ap-7673	77	11	substitution	substitution	NOUN
ap-7673	77	12	k	k	NOUN
ap-7673	77	13	=	=	PUNCT
ap-7673	77	14	kd	kd	X
ap-7673	77	15	±	±	PROPN
ap-7673	78	1	+	+	CCONJ
ap-7673	78	2	q	q	X
ap-7673	78	3	,	,	PUNCT
ap-7673	78	4	one	one	PRON
ap-7673	78	5	arrives	arrive	VERB
ap-7673	78	6	at	at	ADP
ap-7673	78	7	a	a	DET
ap-7673	78	8	dirac	dirac	NOUN
ap-7673	78	9	hamiltonian	hamiltonian	ADJ
ap-7673	78	10	analog	analog	NOUN
ap-7673	78	11	with	with	ADP
ap-7673	78	12	minimal	minimal	ADJ
ap-7673	78	13	coupling	coupling	NOUN
ap-7673	78	14	h	h	NOUN
ap-7673	78	15	=	=	PUNCT
ap-7673	78	16	v0σ	v0σ	PROPN
ap-7673	78	17	·	·	PUNCT
ap-7673	78	18	(	(	PUNCT
ap-7673	78	19	1	1	NUM
ap-7673	78	20	+	+	NUM
ap-7673	78	21	u	u	NOUN
ap-7673	78	22	−	−	NOUN
ap-7673	78	23	βu)q	βu)q	NUM
ap-7673	78	24	+	+	CCONJ
ap-7673	78	25	iγσ3	iγσ3	ADJ
ap-7673	78	26	.	.	PUNCT
ap-7673	79	1	(	(	PUNCT
ap-7673	79	2	16	16	NUM
ap-7673	79	3	)	)	PUNCT
ap-7673	79	4	comparing	compare	VERB
ap-7673	79	5	with	with	ADP
ap-7673	79	6	(	(	PUNCT
ap-7673	79	7	7	7	NUM
ap-7673	79	8	)	)	PUNCT
ap-7673	79	9	,	,	PUNCT
ap-7673	79	10	the	the	DET
ap-7673	79	11	effect	effect	NOUN
ap-7673	79	12	of	of	ADP
ap-7673	79	13	strain	strain	NOUN
ap-7673	79	14	is	be	AUX
ap-7673	79	15	equivalent	equivalent	ADJ
ap-7673	79	16	,	,	PUNCT
ap-7673	79	17	to	to	PART
ap-7673	79	18	consider	consider	VERB
ap-7673	79	19	magnetic	magnetic	ADJ
ap-7673	79	20	-	-	PUNCT
ap-7673	79	21	like	like	ADJ
ap-7673	79	22	field	field	NOUN
ap-7673	79	23	modeled	model	VERB
ap-7673	79	24	through	through	ADP
ap-7673	79	25	a	a	DET
ap-7673	79	26	pseudo	pseudo	NOUN
ap-7673	79	27	-	-	ADJ
ap-7673	79	28	magnetic	magnetic	ADJ
ap-7673	79	29	vector	vector	NOUN
ap-7673	79	30	potential	potential	ADJ
ap-7673	79	31	a.	a.	NOUN
ap-7673	79	32	the	the	DET
ap-7673	79	33	last	last	ADJ
ap-7673	79	34	term	term	NOUN
ap-7673	79	35	represents	represent	VERB
ap-7673	79	36	a	a	DET
ap-7673	79	37	gain	gain	NOUN
ap-7673	79	38	/	/	SYM
ap-7673	79	39	loss	loss	NOUN
ap-7673	79	40	balance	balance	NOUN
ap-7673	79	41	in	in	ADP
ap-7673	79	42	sublattices	sublattice	NOUN
ap-7673	79	43	a	a	DET
ap-7673	79	44	/	/	SYM
ap-7673	79	45	b.	b.	PROPN
ap-7673	79	46	in	in	ADP
ap-7673	79	47	photonic	photonic	ADJ
ap-7673	79	48	graphene	graphene	NOUN
ap-7673	79	49	,	,	PUNCT
ap-7673	79	50	strain	strain	NOUN
ap-7673	79	51	could	could	AUX
ap-7673	79	52	be	be	AUX
ap-7673	79	53	generated	generate	VERB
ap-7673	79	54	by	by	ADP
ap-7673	79	55	deformations	deformation	NOUN
ap-7673	79	56	in	in	ADP
ap-7673	79	57	the	the	DET
ap-7673	79	58	geometry	geometry	NOUN
ap-7673	79	59	of	of	ADP
ap-7673	79	60	the	the	DET
ap-7673	79	61	optical	optical	ADJ
ap-7673	79	62	-	-	PUNCT
ap-7673	79	63	fiber	fiber	NOUN
ap-7673	79	64	lattice	lattice	NOUN
ap-7673	79	65	.	.	PUNCT
ap-7673	80	1	2.3	2.3	NUM
ap-7673	80	2	.	.	PUNCT
ap-7673	81	1	non	non	ADJ
ap-7673	81	2	-	-	ADJ
ap-7673	81	3	uniform	uniform	ADJ
ap-7673	81	4	strain	strain	NOUN
ap-7673	81	5	for	for	ADP
ap-7673	81	6	non	non	ADJ
ap-7673	81	7	-	-	ADJ
ap-7673	81	8	uniform	uniform	ADJ
ap-7673	81	9	strain	strain	NOUN
ap-7673	81	10	,	,	PUNCT
ap-7673	81	11	the	the	DET
ap-7673	81	12	deformation	deformation	NOUN
ap-7673	81	13	matrix	matrix	NOUN
ap-7673	81	14	depends	depend	VERB
ap-7673	81	15	of	of	ADP
ap-7673	81	16	the	the	DET
ap-7673	81	17	position	position	NOUN
ap-7673	81	18	,	,	PUNCT
ap-7673	81	19	u	u	NOUN
ap-7673	81	20	→	→	SYM
ap-7673	81	21	u(r	u(r	NOUN
ap-7673	81	22	)	)	PUNCT
ap-7673	81	23	.	.	PUNCT
ap-7673	82	1	thus	thus	ADV
ap-7673	82	2	,	,	PUNCT
ap-7673	82	3	the	the	DET
ap-7673	82	4	expression	expression	NOUN
ap-7673	82	5	for	for	ADP
ap-7673	82	6	the	the	DET
ap-7673	82	7	hamiltonian	hamiltonian	NOUN
ap-7673	82	8	becomes	become	VERB
ap-7673	82	9	h	h	NOUN
ap-7673	82	10	=	=	PUNCT
ap-7673	82	11	−iσi	−iσi	NOUN
ap-7673	82	12	√vij∂j	√vij∂j	NOUN
ap-7673	82	13	√vij	√vij	PROPN
ap-7673	82	14	+	+	CCONJ
ap-7673	82	15	v0σiai	v0σiai	ADJ
ap-7673	82	16	+	+	CCONJ
ap-7673	82	17	iγσ3	iγσ3	PROPN
ap-7673	82	18	,	,	PUNCT
ap-7673	82	19	(	(	PUNCT
ap-7673	82	20	17	17	NUM
ap-7673	82	21	)	)	PUNCT
ap-7673	82	22	considering	consider	VERB
ap-7673	82	23	a	a	DET
ap-7673	82	24	strain	strain	NOUN
ap-7673	82	25	tensor	tensor	NOUN
ap-7673	82	26	of	of	ADP
ap-7673	82	27	the	the	DET
ap-7673	82	28	form	form	NOUN
ap-7673	82	29	u	u	NOUN
ap-7673	82	30	=	=	PUNCT
ap-7673	82	31	(	(	PUNCT
ap-7673	82	32	u11(x	u11(x	NOUN
ap-7673	82	33	)	)	PUNCT
ap-7673	82	34	0	0	NUM
ap-7673	82	35	0	0	NUM
ap-7673	82	36	u22(y	u22(y	NOUN
ap-7673	82	37	)	)	PUNCT
ap-7673	82	38	)	)	PUNCT
ap-7673	82	39	,	,	PUNCT
ap-7673	82	40	(	(	PUNCT
ap-7673	82	41	18	18	NUM
ap-7673	82	42	)	)	PUNCT
ap-7673	82	43	and	and	CCONJ
ap-7673	82	44	equations	equation	NOUN
ap-7673	82	45	(	(	PUNCT
ap-7673	82	46	10	10	NUM
ap-7673	82	47	)	)	PUNCT
ap-7673	82	48	and	and	CCONJ
ap-7673	82	49	(	(	PUNCT
ap-7673	82	50	14	14	NUM
ap-7673	82	51	)	)	PUNCT
ap-7673	82	52	,	,	PUNCT
ap-7673	82	53	still	still	ADV
ap-7673	82	54	apply	apply	VERB
ap-7673	82	55	.	.	PUNCT
ap-7673	83	1	we	we	PRON
ap-7673	83	2	can	can	AUX
ap-7673	83	3	also	also	ADV
ap-7673	83	4	write	write	VERB
ap-7673	83	5	the	the	DET
ap-7673	83	6	strain	strain	NOUN
ap-7673	83	7	hamiltonian	hamiltonian	NOUN
ap-7673	83	8	as	as	ADP
ap-7673	83	9	h(x	h(x	PROPN
ap-7673	83	10	,	,	PUNCT
ap-7673	83	11	y	y	PROPN
ap-7673	83	12	)	)	PUNCT
ap-7673	83	13	=	=	SYM
ap-7673	84	1	−	−	NOUN
ap-7673	84	2	iσ1	iσ1	VERB
ap-7673	84	3	√	√	PROPN
ap-7673	84	4	v11∂x	v11∂x	PROPN
ap-7673	84	5	√	√	PROPN
ap-7673	85	1	v11	v11	NOUN
ap-7673	85	2	−	−	NOUN
ap-7673	85	3	iσ2	iσ2	NOUN
ap-7673	85	4	√	√	NOUN
ap-7673	85	5	v22∂y	v22∂y	VERB
ap-7673	85	6	√	√	NUM
ap-7673	85	7	v22	v22	NOUN
ap-7673	86	1	+	+	CCONJ
ap-7673	86	2	σ1	σ1	PROPN
ap-7673	86	3	v0β	v0β	NOUN
ap-7673	86	4	2a	2a	NUM
ap-7673	86	5	(	(	PUNCT
ap-7673	86	6	u11(x	u11(x	NOUN
ap-7673	86	7	)	)	PUNCT
ap-7673	86	8	−	−	NOUN
ap-7673	86	9	u22(y	u22(y	ADJ
ap-7673	86	10	)	)	PUNCT
ap-7673	86	11	)	)	PUNCT
ap-7673	87	1	+	+	CCONJ
ap-7673	87	2	iγσ3	iγσ3	PROPN
ap-7673	87	3	,	,	PUNCT
ap-7673	87	4	(	(	PUNCT
ap-7673	87	5	19	19	NUM
ap-7673	87	6	)	)	PUNCT
ap-7673	87	7	where	where	SCONJ
ap-7673	87	8	v11	v11	NOUN
ap-7673	87	9	=	=	NOUN
ap-7673	87	10	v11(x	v11(x	NOUN
ap-7673	87	11	)	)	PUNCT
ap-7673	87	12	,	,	PUNCT
ap-7673	87	13	v22	v22	NOUN
ap-7673	87	14	=	=	SYM
ap-7673	87	15	v22(y	v22(y	NOUN
ap-7673	87	16	)	)	PUNCT
ap-7673	87	17	.	.	PUNCT
ap-7673	88	1	we	we	PRON
ap-7673	88	2	can	can	AUX
ap-7673	88	3	relate	relate	VERB
ap-7673	88	4	the	the	DET
ap-7673	88	5	eigenvalue	eigenvalue	ADJ
ap-7673	88	6	equation	equation	NOUN
ap-7673	88	7	of	of	ADP
ap-7673	88	8	this	this	DET
ap-7673	88	9	hamiltonian	hamiltonian	NOUN
ap-7673	88	10	,	,	PUNCT
ap-7673	88	11	hψ	hψ	X
ap-7673	88	12	=	=	SYM
ap-7673	88	13	eψ	eψ	PROPN
ap-7673	88	14	,	,	PUNCT
ap-7673	88	15	with	with	ADP
ap-7673	88	16	a	a	DET
ap-7673	88	17	strain	strain	NOUN
ap-7673	88	18	-	-	PUNCT
ap-7673	88	19	free	free	ADJ
ap-7673	88	20	one	one	NOUN
ap-7673	88	21	using	use	VERB
ap-7673	88	22	the	the	DET
ap-7673	88	23	following	follow	VERB
ap-7673	88	24	transformation	transformation	NOUN
ap-7673	88	25	.	.	PUNCT
ap-7673	89	1	first	first	ADV
ap-7673	89	2	,	,	PUNCT
ap-7673	89	3	we	we	PRON
ap-7673	89	4	define	define	VERB
ap-7673	89	5	the	the	DET
ap-7673	89	6	coordinates	coordinate	NOUN
ap-7673	89	7	r	r	NOUN
ap-7673	89	8	=	=	SYM
ap-7673	89	9	∫	∫	PROPN
ap-7673	89	10	v0	v0	NOUN
ap-7673	89	11	v11(x)dx	v11(x)dx	NUM
ap-7673	89	12	,	,	PUNCT
ap-7673	89	13	s	s	PART
ap-7673	89	14	=	=	NOUN
ap-7673	89	15	∫	∫	PROPN
ap-7673	89	16	v0	v0	PROPN
ap-7673	89	17	v22(y)dy	v22(y)dy	PROPN
ap-7673	89	18	,	,	PUNCT
ap-7673	89	19	(	(	PUNCT
ap-7673	89	20	20	20	NUM
ap-7673	89	21	)	)	PUNCT
ap-7673	89	22	and	and	CCONJ
ap-7673	89	23	the	the	DET
ap-7673	89	24	operator	operator	NOUN
ap-7673	89	25	g(x	g(x	NOUN
ap-7673	89	26	,	,	PUNCT
ap-7673	89	27	y	y	NOUN
ap-7673	89	28	)	)	PUNCT
ap-7673	89	29	=	=	PUNCT
ap-7673	89	30	√v11v22	√v11v22	NOUN
ap-7673	89	31	v0	v0	NOUN
ap-7673	89	32	exp	exp	NOUN
ap-7673	89	33	(	(	PUNCT
ap-7673	89	34	iv0β	iv0β	PROPN
ap-7673	89	35	2a	2a	NUM
ap-7673	89	36	∫	∫	NOUN
ap-7673	89	37	x	x	SYM
ap-7673	89	38	0	0	NUM
ap-7673	89	39	u11(q	u11(q	ADJ
ap-7673	89	40	)	)	PUNCT
ap-7673	89	41	v11(q)dq	v11(q)dq	NOUN
ap-7673	89	42	)	)	PUNCT
ap-7673	89	43	,	,	PUNCT
ap-7673	89	44	(	(	PUNCT
ap-7673	89	45	21	21	NUM
ap-7673	89	46	)	)	PUNCT
ap-7673	89	47	then	then	ADV
ap-7673	89	48	,	,	PUNCT
ap-7673	89	49	h	h	NOUN
ap-7673	89	50	will	will	AUX
ap-7673	89	51	be	be	AUX
ap-7673	89	52	related	relate	VERB
ap-7673	89	53	with	with	ADP
ap-7673	89	54	a	a	DET
ap-7673	89	55	flat	flat	ADJ
ap-7673	89	56	fermi	fermi	NOUN
ap-7673	89	57	velocity	velocity	NOUN
ap-7673	89	58	hamiltonian	hamiltonian	PROPN
ap-7673	89	59	h0	h0	PROPN
ap-7673	89	60	as	as	ADP
ap-7673	89	61	h(x	h(x	PROPN
ap-7673	89	62	,	,	PUNCT
ap-7673	89	63	y	y	PROPN
ap-7673	89	64	)	)	PUNCT
ap-7673	89	65	=	=	SYM
ap-7673	90	1	g−1(x	g−1(x	PROPN
ap-7673	90	2	,	,	PUNCT
ap-7673	90	3	y)h0(r(x	y)h0(r(x	PROPN
ap-7673	90	4	)	)	PUNCT
ap-7673	90	5	,	,	PUNCT
ap-7673	90	6	s(y))g(x	s(y))g(x	VERB
ap-7673	90	7	,	,	PUNCT
ap-7673	90	8	y	y	PROPN
ap-7673	90	9	)	)	PUNCT
ap-7673	90	10	,	,	PUNCT
ap-7673	90	11	(	(	PUNCT
ap-7673	90	12	22	22	NUM
ap-7673	90	13	)	)	PUNCT
ap-7673	90	14	where	where	SCONJ
ap-7673	90	15	h0φ	h0φ	PROPN
ap-7673	90	16	=	=	PUNCT
ap-7673	90	17	(	(	PUNCT
ap-7673	90	18	−iv0σ1∂r	−iv0σ1∂r	PROPN
ap-7673	90	19	−	−	PROPN
ap-7673	90	20	iv0σ2∂s	iv0σ2∂s	NOUN
ap-7673	90	21	−	−	NOUN
ap-7673	90	22	v0β	v0β	NOUN
ap-7673	90	23	2a	2a	NUM
ap-7673	90	24	u22	u22	PROPN
ap-7673	90	25	+	+	CCONJ
ap-7673	90	26	iγσ3	iγσ3	PROPN
ap-7673	90	27	)	)	PUNCT
ap-7673	90	28	φ	φ	PROPN
ap-7673	90	29	,	,	PUNCT
ap-7673	90	30	(	(	PUNCT
ap-7673	90	31	23	23	NUM
ap-7673	90	32	)	)	PUNCT
ap-7673	90	33	and	and	CCONJ
ap-7673	90	34	u22	u22	PROPN
ap-7673	90	35	=	=	SYM
ap-7673	90	36	u22(y(r	u22(y(r	PROPN
ap-7673	90	37	,	,	PUNCT
ap-7673	90	38	s	s	NOUN
ap-7673	90	39	)	)	PUNCT
ap-7673	90	40	)	)	PUNCT
ap-7673	90	41	.	.	PUNCT
ap-7673	91	1	the	the	DET
ap-7673	91	2	solutions	solution	NOUN
ap-7673	91	3	are	be	AUX
ap-7673	91	4	mapped	map	VERB
ap-7673	91	5	as	as	ADP
ap-7673	91	6	ψ(x	ψ(x	PROPN
ap-7673	91	7	,	,	PUNCT
ap-7673	91	8	y	y	NOUN
ap-7673	91	9	)	)	PUNCT
ap-7673	91	10	=	=	SYM
ap-7673	91	11	g−1(x	g−1(x	PROPN
ap-7673	91	12	,	,	PUNCT
ap-7673	91	13	y)φ(r(x	y)φ(r(x	NOUN
ap-7673	91	14	)	)	PUNCT
ap-7673	91	15	,	,	PUNCT
ap-7673	91	16	s(y	s(y	PROPN
ap-7673	91	17	)	)	PUNCT
ap-7673	91	18	)	)	PUNCT
ap-7673	91	19	.	.	PUNCT
ap-7673	92	1	(	(	PUNCT
ap-7673	92	2	24	24	NUM
ap-7673	92	3	)	)	PUNCT
ap-7673	92	4	the	the	DET
ap-7673	92	5	energy	energy	NOUN
ap-7673	92	6	spectrum	spectrum	NOUN
ap-7673	92	7	is	be	AUX
ap-7673	92	8	the	the	DET
ap-7673	92	9	same	same	ADJ
ap-7673	92	10	for	for	ADP
ap-7673	92	11	both	both	DET
ap-7673	92	12	hamiltonians	hamiltonian	NOUN
ap-7673	92	13	[	[	X
ap-7673	92	14	18	18	NUM
ap-7673	92	15	,	,	PUNCT
ap-7673	92	16	19	19	NUM
ap-7673	92	17	,	,	PUNCT
ap-7673	92	18	26	26	NUM
ap-7673	92	19	]	]	PUNCT
ap-7673	92	20	.	.	PUNCT
ap-7673	93	1	3	3	X
ap-7673	93	2	.	.	X
ap-7673	93	3	supersymmetric	supersymmetric	ADJ
ap-7673	93	4	quantum	quantum	ADJ
ap-7673	93	5	mechanics	mechanic	NOUN
ap-7673	93	6	:	:	PUNCT
ap-7673	93	7	matrix	matrix	NOUN
ap-7673	93	8	approach	approach	NOUN
ap-7673	93	9	supersymmetric	supersymmetric	ADJ
ap-7673	93	10	quantum	quantum	NOUN
ap-7673	93	11	mechanics	mechanic	NOUN
ap-7673	93	12	(	(	PUNCT
ap-7673	93	13	susy	susy	NOUN
ap-7673	93	14	-	-	PUNCT
ap-7673	93	15	qm	qm	PROPN
ap-7673	93	16	)	)	PUNCT
ap-7673	93	17	is	be	AUX
ap-7673	93	18	a	a	DET
ap-7673	93	19	method	method	NOUN
ap-7673	93	20	that	that	PRON
ap-7673	93	21	relates	relate	VERB
ap-7673	93	22	two	two	NUM
ap-7673	93	23	schrödinger	schrödinger	ADJ
ap-7673	93	24	hamiltonians	hamiltonian	NOUN
ap-7673	93	25	through	through	ADP
ap-7673	93	26	an	an	DET
ap-7673	93	27	intertwining	intertwine	VERB
ap-7673	93	28	operator	operator	NOUN
ap-7673	93	29	[	[	X
ap-7673	93	30	27	27	NUM
ap-7673	93	31	,	,	PUNCT
ap-7673	93	32	28	28	NUM
ap-7673	93	33	]	]	PUNCT
ap-7673	93	34	.	.	PUNCT
ap-7673	94	1	another	another	DET
ap-7673	94	2	approach	approach	NOUN
ap-7673	94	3	is	be	AUX
ap-7673	94	4	the	the	DET
ap-7673	94	5	matrix	matrix	NOUN
ap-7673	94	6	susy	susy	PROPN
ap-7673	94	7	-	-	PUNCT
ap-7673	94	8	qm	qm	PROPN
ap-7673	94	9	,	,	PUNCT
ap-7673	94	10	which	which	PRON
ap-7673	94	11	intertwines	intertwine	VERB
ap-7673	94	12	two	two	NUM
ap-7673	94	13	dirac	dirac	NOUN
ap-7673	94	14	hamiltonians	hamiltonian	NOUN
ap-7673	94	15	h0	h0	PROPN
ap-7673	94	16	,	,	PUNCT
ap-7673	94	17	h1	h1	NOUN
ap-7673	94	18	by	by	ADP
ap-7673	94	19	a	a	DET
ap-7673	94	20	matrix	matrix	NOUN
ap-7673	94	21	operator	operator	NOUN
ap-7673	94	22	l.	l.	NOUN
ap-7673	94	23	in	in	ADP
ap-7673	94	24	this	this	DET
ap-7673	94	25	work	work	NOUN
ap-7673	94	26	,	,	PUNCT
ap-7673	94	27	we	we	PRON
ap-7673	94	28	use	use	VERB
ap-7673	94	29	the	the	DET
ap-7673	94	30	latter	latter	ADJ
ap-7673	94	31	to	to	PART
ap-7673	94	32	construct	construct	VERB
ap-7673	94	33	an	an	DET
ap-7673	94	34	appropriate	appropriate	ADJ
ap-7673	94	35	hamiltonian	hamiltonian	ADJ
ap-7673	94	36	h1	h1	NOUN
ap-7673	94	37	that	that	PRON
ap-7673	94	38	will	will	AUX
ap-7673	94	39	be	be	AUX
ap-7673	94	40	linked	link	VERB
ap-7673	94	41	via	via	ADP
ap-7673	94	42	the	the	DET
ap-7673	94	43	operator	operator	NOUN
ap-7673	94	44	g	g	PROPN
ap-7673	94	45	introduced	introduce	VERB
ap-7673	94	46	in	in	ADP
ap-7673	94	47	(	(	PUNCT
ap-7673	94	48	21	21	NUM
ap-7673	94	49	)	)	PUNCT
ap-7673	94	50	to	to	ADP
ap-7673	94	51	a	a	DET
ap-7673	94	52	photonic	photonic	ADJ
ap-7673	94	53	graphene	graphene	NOUN
ap-7673	94	54	system	system	NOUN
ap-7673	94	55	under	under	ADP
ap-7673	94	56	strain	strain	NOUN
ap-7673	94	57	.	.	PUNCT
ap-7673	95	1	for	for	ADP
ap-7673	95	2	the	the	DET
ap-7673	95	3	sake	sake	NOUN
ap-7673	95	4	of	of	ADP
ap-7673	95	5	completeness	completeness	NOUN
ap-7673	95	6	we	we	PRON
ap-7673	95	7	will	will	AUX
ap-7673	95	8	give	give	VERB
ap-7673	95	9	a	a	DET
ap-7673	95	10	brief	brief	ADJ
ap-7673	95	11	review	review	NOUN
ap-7673	95	12	of	of	ADP
ap-7673	95	13	matrix	matrix	NOUN
ap-7673	95	14	susy	susy	PROPN
ap-7673	95	15	-	-	PUNCT
ap-7673	95	16	qm	qm	PROPN
ap-7673	95	17	(	(	PUNCT
ap-7673	95	18	more	more	ADJ
ap-7673	95	19	details	detail	NOUN
ap-7673	95	20	can	can	AUX
ap-7673	95	21	be	be	AUX
ap-7673	95	22	found	find	VERB
ap-7673	95	23	in	in	ADP
ap-7673	95	24	[	[	X
ap-7673	95	25	29	29	NUM
ap-7673	95	26	]	]	PUNCT
ap-7673	95	27	)	)	PUNCT
ap-7673	95	28	.	.	PUNCT
ap-7673	96	1	we	we	PRON
ap-7673	96	2	start	start	VERB
ap-7673	96	3	by	by	ADP
ap-7673	96	4	proposing	propose	VERB
ap-7673	96	5	the	the	DET
ap-7673	96	6	following	follow	VERB
ap-7673	96	7	intertwining	intertwine	VERB
ap-7673	96	8	relation	relation	NOUN
ap-7673	96	9	:	:	PUNCT
ap-7673	97	1	l1h0	l1h0	X
ap-7673	97	2	=	=	SYM
ap-7673	97	3	h1l1	h1l1	NOUN
ap-7673	97	4	,	,	PUNCT
ap-7673	97	5	(	(	PUNCT
ap-7673	97	6	25	25	NUM
ap-7673	97	7	)	)	PUNCT
ap-7673	97	8	where	where	SCONJ
ap-7673	97	9	the	the	DET
ap-7673	97	10	dirac	dirac	NOUN
ap-7673	97	11	hamiltonians	hamiltonian	NOUN
ap-7673	97	12	are	be	AUX
ap-7673	97	13	given	give	VERB
ap-7673	97	14	by	by	ADP
ap-7673	97	15	h0	h0	NOUN
ap-7673	97	16	=	=	PROPN
ap-7673	97	17	−iσ2∂s	−iσ2∂s	PROPN
ap-7673	97	18	+	+	CCONJ
ap-7673	97	19	v0(s	v0(s	PROPN
ap-7673	97	20	)	)	PUNCT
ap-7673	97	21	,	,	PUNCT
ap-7673	97	22	h1	h1	NOUN
ap-7673	97	23	=	=	SYM
ap-7673	97	24	−iσ2∂s	−iσ2∂s	PROPN
ap-7673	97	25	+	+	CCONJ
ap-7673	97	26	v1(s	v1(s	NUM
ap-7673	97	27	)	)	PUNCT
ap-7673	97	28	,	,	PUNCT
ap-7673	97	29	(	(	PUNCT
ap-7673	97	30	26	26	NUM
ap-7673	97	31	)	)	PUNCT
ap-7673	97	32	and	and	CCONJ
ap-7673	97	33	the	the	DET
ap-7673	97	34	intertwining	intertwine	VERB
ap-7673	97	35	operator	operator	NOUN
ap-7673	97	36	is	be	AUX
ap-7673	97	37	l1	l1	PROPN
ap-7673	97	38	=	=	PROPN
ap-7673	97	39	∂s	∂s	PROPN
ap-7673	97	40	−	−	PROPN
ap-7673	97	41	usu	usu	PROPN
ap-7673	97	42	−1	−1	NOUN
ap-7673	97	43	,	,	PUNCT
ap-7673	97	44	(	(	PUNCT
ap-7673	97	45	27	27	NUM
ap-7673	97	46	)	)	PUNCT
ap-7673	97	47	with	with	ADP
ap-7673	97	48	u	u	PRON
ap-7673	97	49	being	be	AUX
ap-7673	97	50	a	a	DET
ap-7673	97	51	matrix	matrix	NOUN
ap-7673	97	52	function	function	NOUN
ap-7673	97	53	called	call	VERB
ap-7673	97	54	seed	seed	NOUN
ap-7673	97	55	or	or	CCONJ
ap-7673	97	56	transformation	transformation	NOUN
ap-7673	97	57	matrix	matrix	NOUN
ap-7673	97	58	,	,	PUNCT
ap-7673	97	59	the	the	DET
ap-7673	97	60	subindex	subindex	NOUN
ap-7673	97	61	in	in	ADP
ap-7673	97	62	us	we	PRON
ap-7673	97	63	represent	represent	VERB
ap-7673	97	64	the	the	DET
ap-7673	97	65	derivative	derivative	ADJ
ap-7673	97	66	respect	respect	NOUN
ap-7673	97	67	to	to	ADP
ap-7673	97	68	s	s	NOUN
ap-7673	97	69	,	,	PUNCT
ap-7673	97	70	and	and	CCONJ
ap-7673	97	71	u	u	PRON
ap-7673	97	72	must	must	AUX
ap-7673	97	73	satisfy	satisfy	VERB
ap-7673	97	74	h0u	h0u	PROPN
ap-7673	97	75	=	=	SYM
ap-7673	97	76	uλ	uλ	PROPN
ap-7673	97	77	.	.	PUNCT
ap-7673	98	1	let	let	VERB
ap-7673	98	2	us	we	PRON
ap-7673	98	3	write	write	VERB
ap-7673	98	4	u	u	PROPN
ap-7673	98	5	in	in	ADP
ap-7673	98	6	a	a	DET
ap-7673	98	7	general	general	ADJ
ap-7673	98	8	form	form	NOUN
ap-7673	98	9	and	and	CCONJ
ap-7673	98	10	λ	λ	PROPN
ap-7673	98	11	as	as	ADP
ap-7673	98	12	a	a	DET
ap-7673	98	13	diagonal	diagonal	ADJ
ap-7673	98	14	matrix	matrix	NOUN
ap-7673	98	15	u	u	NOUN
ap-7673	98	16	=	=	PUNCT
ap-7673	98	17	(	(	PUNCT
ap-7673	98	18	u11	u11	PROPN
ap-7673	98	19	u12	u12	PROPN
ap-7673	98	20	u21	u21	PROPN
ap-7673	98	21	u22	u22	PROPN
ap-7673	98	22	)	)	PUNCT
ap-7673	98	23	,	,	PUNCT
ap-7673	98	24	λ	λ	X
ap-7673	98	25	=	=	PRON
ap-7673	98	26	(	(	PUNCT
ap-7673	98	27	λ1	λ1	ADJ
ap-7673	98	28	0	0	NUM
ap-7673	98	29	0	0	NUM
ap-7673	98	30	λ2	λ2	NOUN
ap-7673	98	31	)	)	PUNCT
ap-7673	98	32	.	.	PUNCT
ap-7673	99	1	(	(	PUNCT
ap-7673	99	2	28	28	NUM
ap-7673	99	3	)	)	PUNCT
ap-7673	99	4	25	25	NUM
ap-7673	99	5	m.	m.	NOUN
ap-7673	99	6	castillo	castillo	PROPN
ap-7673	99	7	-	-	PUNCT
ap-7673	99	8	celeita	celeita	PROPN
ap-7673	99	9	,	,	PUNCT
ap-7673	99	10	a.	a.	PROPN
ap-7673	99	11	contreras	contreras	PROPN
ap-7673	99	12	-	-	PUNCT
ap-7673	99	13	astorga	astorga	PROPN
ap-7673	99	14	,	,	PUNCT
ap-7673	99	15	d.	d.	PROPN
ap-7673	99	16	j.	j.	PROPN
ap-7673	99	17	fernández	fernández	PROPN
ap-7673	99	18	c.	c.	PROPN
ap-7673	99	19	acta	acta	PROPN
ap-7673	99	20	polytechnica	polytechnica	PROPN
ap-7673	99	21	from	from	ADP
ap-7673	99	22	the	the	DET
ap-7673	99	23	intertwining	intertwine	VERB
ap-7673	99	24	relation	relation	NOUN
ap-7673	99	25	and	and	CCONJ
ap-7673	99	26	the	the	DET
ap-7673	99	27	given	give	VERB
ap-7673	99	28	definitions	definition	NOUN
ap-7673	99	29	,	,	PUNCT
ap-7673	99	30	the	the	DET
ap-7673	99	31	potential	potential	ADJ
ap-7673	99	32	v1	v1	NOUN
ap-7673	99	33	can	can	AUX
ap-7673	99	34	be	be	AUX
ap-7673	99	35	written	write	VERB
ap-7673	99	36	in	in	ADP
ap-7673	99	37	terms	term	NOUN
ap-7673	99	38	of	of	ADP
ap-7673	99	39	the	the	DET
ap-7673	99	40	potential	potential	ADJ
ap-7673	99	41	v0	v0	NOUN
ap-7673	99	42	and	and	CCONJ
ap-7673	99	43	the	the	DET
ap-7673	99	44	transformation	transformation	NOUN
ap-7673	99	45	matrix	matrix	NOUN
ap-7673	99	46	as	as	ADP
ap-7673	99	47	v1	v1	NOUN
ap-7673	99	48	=	=	SYM
ap-7673	99	49	v0	v0	NOUN
ap-7673	99	50	+	+	CCONJ
ap-7673	99	51	i[usu	i[usu	NOUN
ap-7673	99	52	−1	−1	NOUN
ap-7673	99	53	,	,	PUNCT
ap-7673	99	54	σ2	σ2	PROPN
ap-7673	99	55	]	]	PUNCT
ap-7673	99	56	.	.	PUNCT
ap-7673	100	1	(	(	PUNCT
ap-7673	100	2	29	29	NUM
ap-7673	100	3	)	)	PUNCT
ap-7673	100	4	solutions	solution	NOUN
ap-7673	100	5	of	of	ADP
ap-7673	100	6	the	the	DET
ap-7673	100	7	dirac	dirac	NOUN
ap-7673	100	8	equation	equation	NOUN
ap-7673	100	9	h0ξ	h0ξ	PRON
ap-7673	101	1	=	=	X
ap-7673	101	2	eξ	eξ	PROPN
ap-7673	101	3	can	can	AUX
ap-7673	101	4	be	be	AUX
ap-7673	101	5	mapped	map	VERB
ap-7673	101	6	onto	onto	ADP
ap-7673	101	7	solutions	solution	NOUN
ap-7673	101	8	of	of	ADP
ap-7673	101	9	h1φ	h1φ	NOUN
ap-7673	101	10	=	=	PUNCT
ap-7673	101	11	eφ	eφ	ADP
ap-7673	101	12	using	use	VERB
ap-7673	101	13	the	the	DET
ap-7673	101	14	intertwining	intertwine	VERB
ap-7673	101	15	operator	operator	NOUN
ap-7673	101	16	as	as	ADP
ap-7673	101	17	φ	φ	PROPN
ap-7673	101	18	∝	∝	PROPN
ap-7673	101	19	l1ξ	l1ξ	PROPN
ap-7673	101	20	.	.	PUNCT
ap-7673	102	1	there	there	PRON
ap-7673	102	2	are	be	VERB
ap-7673	102	3	some	some	DET
ap-7673	102	4	extra	extra	ADJ
ap-7673	102	5	solutions	solution	NOUN
ap-7673	102	6	,	,	PUNCT
ap-7673	102	7	usually	usually	ADV
ap-7673	102	8	referred	refer	VERB
ap-7673	102	9	to	to	ADP
ap-7673	102	10	missing	miss	VERB
ap-7673	102	11	states	state	NOUN
ap-7673	102	12	.	.	PUNCT
ap-7673	103	1	they	they	PRON
ap-7673	103	2	can	can	AUX
ap-7673	103	3	be	be	AUX
ap-7673	103	4	obtained	obtain	VERB
ap-7673	103	5	from	from	ADP
ap-7673	103	6	each	each	DET
ap-7673	103	7	column	column	NOUN
ap-7673	103	8	of	of	ADP
ap-7673	103	9	(	(	PUNCT
ap-7673	103	10	ut	ut	PROPN
ap-7673	103	11	)	)	PUNCT
ap-7673	103	12	−1	−1	NOUN
ap-7673	103	13	,	,	PUNCT
ap-7673	103	14	named	name	VERB
ap-7673	103	15	φλj	φλj	PROPN
ap-7673	103	16	,	,	PUNCT
ap-7673	103	17	j	j	PROPN
ap-7673	103	18	=	=	SYM
ap-7673	103	19	1	1	NUM
ap-7673	103	20	,	,	PUNCT
ap-7673	103	21	2	2	NUM
ap-7673	103	22	,	,	PUNCT
ap-7673	103	23	which	which	PRON
ap-7673	103	24	satisfy	satisfy	VERB
ap-7673	103	25	h1φλj	h1φλj	PROPN
ap-7673	103	26	=	=	PRON
ap-7673	103	27	λjφλj	λjφλj	NOUN
ap-7673	103	28	.	.	PUNCT
ap-7673	104	1	if	if	SCONJ
ap-7673	104	2	the	the	DET
ap-7673	104	3	vectors	vector	NOUN
ap-7673	104	4	φλj	φλj	PROPN
ap-7673	104	5	fulfill	fulfill	VERB
ap-7673	104	6	the	the	DET
ap-7673	104	7	boundary	boundary	ADJ
ap-7673	104	8	conditions	condition	NOUN
ap-7673	104	9	of	of	ADP
ap-7673	104	10	the	the	DET
ap-7673	104	11	problem	problem	NOUN
ap-7673	104	12	,	,	PUNCT
ap-7673	104	13	λj	λj	PROPN
ap-7673	104	14	must	must	AUX
ap-7673	104	15	be	be	AUX
ap-7673	104	16	included	include	VERB
ap-7673	104	17	in	in	ADP
ap-7673	104	18	the	the	DET
ap-7673	104	19	spectrum	spectrum	NOUN
ap-7673	104	20	of	of	ADP
ap-7673	104	21	h1	h1	PROPN
ap-7673	104	22	.	.	PUNCT
ap-7673	105	1	as	as	ADP
ap-7673	105	2	a	a	DET
ap-7673	105	3	summary	summary	NOUN
ap-7673	105	4	,	,	PUNCT
ap-7673	105	5	with	with	ADP
ap-7673	105	6	this	this	DET
ap-7673	105	7	technique	technique	NOUN
ap-7673	105	8	,	,	PUNCT
ap-7673	105	9	we	we	PRON
ap-7673	105	10	start	start	VERB
ap-7673	105	11	from	from	ADP
ap-7673	105	12	h0	h0	PROPN
ap-7673	105	13	,	,	PUNCT
ap-7673	105	14	its	its	PRON
ap-7673	105	15	eigenspinors	eigenspinor	NOUN
ap-7673	105	16	and	and	CCONJ
ap-7673	105	17	spectrum	spectrum	VERB
ap-7673	105	18	,	,	PUNCT
ap-7673	105	19	then	then	ADV
ap-7673	105	20	we	we	PRON
ap-7673	105	21	construct	construct	VERB
ap-7673	105	22	h1	h1	PROPN
ap-7673	105	23	,	,	PUNCT
ap-7673	105	24	obtain	obtain	VERB
ap-7673	105	25	the	the	DET
ap-7673	105	26	solutions	solution	NOUN
ap-7673	105	27	of	of	ADP
ap-7673	105	28	the	the	DET
ap-7673	105	29	corresponding	corresponding	ADJ
ap-7673	105	30	dirac	dirac	NOUN
ap-7673	105	31	equation	equation	NOUN
ap-7673	105	32	and	and	CCONJ
ap-7673	105	33	the	the	DET
ap-7673	105	34	spectrum	spectrum	NOUN
ap-7673	105	35	.	.	PUNCT
ap-7673	106	1	now	now	ADV
ap-7673	106	2	,	,	PUNCT
ap-7673	106	3	let	let	VERB
ap-7673	106	4	us	we	PRON
ap-7673	106	5	mention	mention	VERB
ap-7673	106	6	that	that	SCONJ
ap-7673	106	7	it	it	PRON
ap-7673	106	8	is	be	AUX
ap-7673	106	9	possible	possible	ADJ
ap-7673	106	10	to	to	PART
ap-7673	106	11	iterate	iterate	VERB
ap-7673	106	12	this	this	DET
ap-7673	106	13	technique	technique	NOUN
ap-7673	106	14	.	.	PUNCT
ap-7673	107	1	the	the	DET
ap-7673	107	2	main	main	ADJ
ap-7673	107	3	advantage	advantage	NOUN
ap-7673	107	4	comes	come	VERB
ap-7673	107	5	from	from	ADP
ap-7673	107	6	the	the	DET
ap-7673	107	7	modification	modification	NOUN
ap-7673	107	8	of	of	ADP
ap-7673	107	9	the	the	DET
ap-7673	107	10	spectrum	spectrum	NOUN
ap-7673	107	11	,	,	PUNCT
ap-7673	107	12	since	since	SCONJ
ap-7673	107	13	with	with	ADP
ap-7673	107	14	each	each	DET
ap-7673	107	15	iteration	iteration	NOUN
ap-7673	107	16	,	,	PUNCT
ap-7673	107	17	we	we	PRON
ap-7673	107	18	can	can	AUX
ap-7673	107	19	add	add	VERB
ap-7673	107	20	more	more	ADJ
ap-7673	107	21	energy	energy	NOUN
ap-7673	107	22	levels	level	NOUN
ap-7673	107	23	.	.	PUNCT
ap-7673	108	1	the	the	DET
ap-7673	108	2	second	second	ADJ
ap-7673	108	3	-	-	PUNCT
ap-7673	108	4	order	order	NOUN
ap-7673	108	5	matrix	matrix	NOUN
ap-7673	108	6	susy	susy	NOUN
ap-7673	108	7	-	-	PUNCT
ap-7673	108	8	qm	qm	PROPN
ap-7673	108	9	can	can	AUX
ap-7673	108	10	be	be	AUX
ap-7673	108	11	reached	reach	VERB
ap-7673	108	12	through	through	ADP
ap-7673	108	13	a	a	DET
ap-7673	108	14	second	second	ADJ
ap-7673	108	15	intertwining	intertwine	VERB
ap-7673	108	16	relation	relation	NOUN
ap-7673	108	17	l2h1	l2h1	NOUN
ap-7673	108	18	=	=	SYM
ap-7673	108	19	h2l2	h2l2	PROPN
ap-7673	108	20	,	,	PUNCT
ap-7673	108	21	(	(	PUNCT
ap-7673	108	22	30	30	NUM
ap-7673	108	23	)	)	PUNCT
ap-7673	108	24	which	which	PRON
ap-7673	108	25	is	be	AUX
ap-7673	108	26	similar	similar	ADJ
ap-7673	108	27	to	to	ADP
ap-7673	108	28	(	(	PUNCT
ap-7673	108	29	25	25	NUM
ap-7673	108	30	)	)	PUNCT
ap-7673	108	31	.	.	PUNCT
ap-7673	109	1	the	the	DET
ap-7673	109	2	intertwining	intertwine	VERB
ap-7673	109	3	operator	operator	NOUN
ap-7673	109	4	now	now	ADV
ap-7673	109	5	takes	take	VERB
ap-7673	109	6	the	the	DET
ap-7673	109	7	form	form	NOUN
ap-7673	109	8	l2	l2	NOUN
ap-7673	109	9	=	=	SYM
ap-7673	109	10	∂s	∂s	PROPN
ap-7673	109	11	−	−	PROPN
ap-7673	109	12	(	(	PUNCT
ap-7673	109	13	u2)su−1	u2)su−1	ADJ
ap-7673	109	14	2	2	NUM
ap-7673	109	15	.	.	PUNCT
ap-7673	110	1	(	(	PUNCT
ap-7673	110	2	31	31	NUM
ap-7673	110	3	)	)	PUNCT
ap-7673	110	4	the	the	DET
ap-7673	110	5	operator	operator	NOUN
ap-7673	110	6	l1	l1	PROPN
ap-7673	110	7	is	be	AUX
ap-7673	110	8	used	use	VERB
ap-7673	110	9	to	to	PART
ap-7673	110	10	determine	determine	VERB
ap-7673	110	11	the	the	DET
ap-7673	110	12	transformation	transformation	NOUN
ap-7673	110	13	matrix	matrix	NOUN
ap-7673	110	14	of	of	ADP
ap-7673	110	15	the	the	DET
ap-7673	110	16	second	second	ADJ
ap-7673	110	17	iteration	iteration	NOUN
ap-7673	110	18	,	,	PUNCT
ap-7673	110	19	u2	u2	NOUN
ap-7673	110	20	=	=	PUNCT
ap-7673	110	21	l1u2	l1u2	NOUN
ap-7673	110	22	,	,	PUNCT
ap-7673	110	23	where	where	SCONJ
ap-7673	110	24	u2	u2	PROPN
ap-7673	110	25	fulfills	fulfill	VERB
ap-7673	110	26	the	the	DET
ap-7673	110	27	relation	relation	NOUN
ap-7673	111	1	h0u2	h0u2	NOUN
ap-7673	111	2	=	=	SYM
ap-7673	111	3	u2λ2	u2λ2	PROPN
ap-7673	111	4	.	.	PUNCT
ap-7673	112	1	in	in	ADP
ap-7673	112	2	this	this	DET
ap-7673	112	3	case	case	NOUN
ap-7673	112	4	,	,	PUNCT
ap-7673	112	5	λ2	λ2	PROPN
ap-7673	112	6	is	be	AUX
ap-7673	112	7	an	an	DET
ap-7673	112	8	hermitian	hermitian	ADJ
ap-7673	112	9	matrix	matrix	NOUN
ap-7673	112	10	that	that	PRON
ap-7673	112	11	we	we	PRON
ap-7673	112	12	choose	choose	VERB
ap-7673	112	13	diagonal	diagonal	ADJ
ap-7673	112	14	once	once	ADV
ap-7673	112	15	again	again	ADV
ap-7673	112	16	,	,	PUNCT
ap-7673	112	17	λ2	λ2	NOUN
ap-7673	112	18	=	=	SYM
ap-7673	112	19	(	(	PUNCT
ap-7673	112	20	λ̃1	λ̃1	PROPN
ap-7673	112	21	0	0	NUM
ap-7673	112	22	0	0	NUM
ap-7673	112	23	λ̃2	λ̃2	PROPN
ap-7673	112	24	)	)	PUNCT
ap-7673	112	25	,	,	PUNCT
ap-7673	112	26	u2	u2	NOUN
ap-7673	112	27	=	=	SYM
ap-7673	112	28	(	(	PUNCT
ap-7673	112	29	w11	w11	PROPN
ap-7673	112	30	w12	w12	PROPN
ap-7673	112	31	w21	w21	PROPN
ap-7673	112	32	w22	w22	PROPN
ap-7673	112	33	)	)	PUNCT
ap-7673	112	34	.	.	PUNCT
ap-7673	113	1	(	(	PUNCT
ap-7673	113	2	32	32	NUM
ap-7673	113	3	)	)	PUNCT
ap-7673	113	4	the	the	DET
ap-7673	113	5	elements	element	NOUN
ap-7673	113	6	of	of	ADP
ap-7673	113	7	λ2	λ2	NOUN
ap-7673	113	8	are	be	AUX
ap-7673	113	9	such	such	ADJ
ap-7673	113	10	that	that	SCONJ
ap-7673	113	11	(	(	PUNCT
ap-7673	113	12	λ̃1	λ̃1	PROPN
ap-7673	113	13	,	,	PUNCT
ap-7673	113	14	λ̃2	λ̃2	PROPN
ap-7673	113	15	)	)	PUNCT
ap-7673	113	16	̸=	̸=	PROPN
ap-7673	113	17	(	(	PUNCT
ap-7673	113	18	λ1	λ1	ADJ
ap-7673	113	19	,	,	PUNCT
ap-7673	113	20	λ2	λ2	PROPN
ap-7673	113	21	)	)	PUNCT
ap-7673	113	22	.	.	PUNCT
ap-7673	114	1	therefore	therefore	ADV
ap-7673	114	2	,	,	PUNCT
ap-7673	114	3	the	the	DET
ap-7673	114	4	second	second	ADJ
ap-7673	114	5	order	order	NOUN
ap-7673	114	6	potential	potential	NOUN
ap-7673	114	7	is	be	AUX
ap-7673	114	8	given	give	VERB
ap-7673	114	9	by	by	ADP
ap-7673	114	10	v2	v2	NOUN
ap-7673	114	11	=	=	SYM
ap-7673	114	12	v1	v1	NOUN
ap-7673	115	1	+	+	CCONJ
ap-7673	115	2	i	i	PRON
ap-7673	115	3	[	[	PUNCT
ap-7673	115	4	(	(	PUNCT
ap-7673	115	5	u2)su−1	u2)su−1	ADJ
ap-7673	115	6	2	2	NUM
ap-7673	115	7	,	,	PUNCT
ap-7673	115	8	σ2	σ2	NOUN
ap-7673	115	9	]	]	PUNCT
ap-7673	115	10	.	.	PUNCT
ap-7673	116	1	(	(	PUNCT
ap-7673	116	2	33	33	NUM
ap-7673	116	3	)	)	PUNCT
ap-7673	116	4	the	the	DET
ap-7673	116	5	solutions	solution	NOUN
ap-7673	116	6	of	of	ADP
ap-7673	116	7	h2χ	h2χ	PROPN
ap-7673	116	8	=	=	PUNCT
ap-7673	117	1	eχ	eχ	NOUN
ap-7673	117	2	are	be	AUX
ap-7673	117	3	obtained	obtain	VERB
ap-7673	117	4	from	from	ADP
ap-7673	117	5	the	the	DET
ap-7673	117	6	eigenspinors	eigenspinor	NOUN
ap-7673	117	7	of	of	ADP
ap-7673	117	8	h1	h1	NOUN
ap-7673	117	9	as	as	ADP
ap-7673	117	10	χ	χ	PROPN
ap-7673	117	11	∝	∝	PROPN
ap-7673	117	12	l2φ	l2φ	PROPN
ap-7673	117	13	.	.	PUNCT
ap-7673	118	1	the	the	DET
ap-7673	118	2	second	second	ADJ
ap-7673	118	3	-	-	PUNCT
ap-7673	118	4	order	order	NOUN
ap-7673	118	5	matrix	matrix	NOUN
ap-7673	118	6	susy	susy	NOUN
ap-7673	118	7	-	-	PUNCT
ap-7673	118	8	qm	qm	PROPN
ap-7673	118	9	generates	generate	VERB
ap-7673	118	10	,	,	PUNCT
ap-7673	118	11	in	in	ADP
ap-7673	118	12	principle	principle	NOUN
ap-7673	118	13	,	,	PUNCT
ap-7673	118	14	two	two	NUM
ap-7673	118	15	sets	set	NOUN
ap-7673	118	16	of	of	ADP
ap-7673	118	17	eigenspinors	eigenspinor	NOUN
ap-7673	118	18	that	that	PRON
ap-7673	118	19	correspond	correspond	VERB
ap-7673	118	20	to	to	ADP
ap-7673	118	21	the	the	DET
ap-7673	118	22	columns	column	NOUN
ap-7673	118	23	of	of	ADP
ap-7673	118	24	the	the	DET
ap-7673	118	25	matrices	matrix	NOUN
ap-7673	118	26	(	(	PUNCT
ap-7673	118	27	ut	ut	PROPN
ap-7673	118	28	2	2	NUM
ap-7673	118	29	)	)	PUNCT
ap-7673	118	30	−1	−1	NOUN
ap-7673	118	31	and	and	CCONJ
ap-7673	118	32	l2(ut	l2(ut	PROPN
ap-7673	118	33	)	)	PUNCT
ap-7673	118	34	−1	−1	NOUN
ap-7673	118	35	.	.	PUNCT
ap-7673	119	1	4	4	X
ap-7673	119	2	.	.	X
ap-7673	119	3	photonic	photonic	ADJ
ap-7673	119	4	graphene	graphene	NOUN
ap-7673	119	5	under	under	ADP
ap-7673	119	6	strain	strain	NOUN
ap-7673	119	7	and	and	CCONJ
ap-7673	119	8	position	position	NOUN
ap-7673	119	9	-	-	PUNCT
ap-7673	119	10	dependent	dependent	ADJ
ap-7673	119	11	gain	gain	NOUN
ap-7673	119	12	and	and	CCONJ
ap-7673	119	13	loss	loss	NOUN
ap-7673	119	14	in	in	ADP
ap-7673	119	15	this	this	DET
ap-7673	119	16	section	section	NOUN
ap-7673	119	17	,	,	PUNCT
ap-7673	119	18	we	we	PRON
ap-7673	119	19	start	start	VERB
ap-7673	119	20	from	from	ADP
ap-7673	119	21	the	the	DET
ap-7673	119	22	auxiliary	auxiliary	ADJ
ap-7673	119	23	dirac	dirac	NOUN
ap-7673	119	24	equation	equation	NOUN
ap-7673	119	25	of	of	ADP
ap-7673	119	26	a	a	DET
ap-7673	119	27	free	free	ADJ
ap-7673	119	28	particle	particle	NOUN
ap-7673	119	29	with	with	ADP
ap-7673	119	30	imaginary	imaginary	ADJ
ap-7673	119	31	mass	mass	NOUN
ap-7673	119	32	,	,	PUNCT
ap-7673	119	33	and	and	CCONJ
ap-7673	119	34	using	use	VERB
ap-7673	119	35	a	a	DET
ap-7673	119	36	matrix	matrix	NOUN
ap-7673	119	37	susy	susy	NOUN
ap-7673	119	38	-	-	PUNCT
ap-7673	119	39	qm	qm	PROPN
ap-7673	119	40	and	and	CCONJ
ap-7673	119	41	a	a	DET
ap-7673	119	42	gauge	gauge	ADJ
ap-7673	119	43	transformation	transformation	NOUN
ap-7673	119	44	g	g	NOUN
ap-7673	119	45	,	,	PUNCT
ap-7673	119	46	we	we	PRON
ap-7673	119	47	obtain	obtain	VERB
ap-7673	119	48	a	a	DET
ap-7673	119	49	photonic	photonic	ADJ
ap-7673	119	50	graphene	graphene	NOUN
ap-7673	119	51	model	model	NOUN
ap-7673	119	52	with	with	ADP
ap-7673	119	53	strain	strain	NOUN
ap-7673	119	54	and	and	CCONJ
ap-7673	119	55	position	position	NOUN
ap-7673	119	56	dependent	dependent	ADJ
ap-7673	119	57	gain	gain	NOUN
ap-7673	119	58	/	/	SYM
ap-7673	119	59	loss	loss	NOUN
ap-7673	119	60	.	.	PUNCT
ap-7673	120	1	we	we	PRON
ap-7673	120	2	show	show	VERB
ap-7673	120	3	that	that	SCONJ
ap-7673	120	4	we	we	PRON
ap-7673	120	5	can	can	AUX
ap-7673	120	6	iterate	iterate	VERB
ap-7673	120	7	the	the	DET
ap-7673	120	8	technique	technique	NOUN
ap-7673	120	9	to	to	PART
ap-7673	120	10	add	add	VERB
ap-7673	120	11	more	more	ADJ
ap-7673	120	12	propagations	propagation	NOUN
ap-7673	120	13	modes	mode	NOUN
ap-7673	120	14	.	.	PUNCT
ap-7673	121	1	figure	figure	NOUN
ap-7673	121	2	2	2	NUM
ap-7673	121	3	.	.	PUNCT
ap-7673	121	4	graph	graph	NOUN
ap-7673	121	5	of	of	ADP
ap-7673	121	6	the	the	DET
ap-7673	121	7	functions	function	NOUN
ap-7673	121	8	v0kr	v0kr	X
ap-7673	122	1	+	+	CCONJ
ap-7673	122	2	k(s	k(s	PROPN
ap-7673	122	3	)	)	PUNCT
ap-7673	122	4	(	(	PUNCT
ap-7673	122	5	line	line	NOUN
ap-7673	122	6	blue	blue	NOUN
ap-7673	122	7	)	)	PUNCT
ap-7673	122	8	and	and	CCONJ
ap-7673	122	9	the	the	DET
ap-7673	122	10	gain	gain	NOUN
ap-7673	122	11	/	/	SYM
ap-7673	122	12	loss	loss	NOUN
ap-7673	122	13	term	term	NOUN
ap-7673	122	14	γ	γ	X
ap-7673	122	15	−γ(s	−γ(s	ADV
ap-7673	122	16	)	)	PUNCT
ap-7673	122	17	(	(	PUNCT
ap-7673	122	18	dashed	dash	VERB
ap-7673	122	19	red	red	ADJ
ap-7673	122	20	line	line	NOUN
ap-7673	122	21	)	)	PUNCT
ap-7673	122	22	for	for	ADP
ap-7673	122	23	ϵ	ϵ	NOUN
ap-7673	122	24	=	=	SYM
ap-7673	122	25	1.5	1.5	NUM
ap-7673	122	26	,	,	PUNCT
ap-7673	122	27	kr	kr	PROPN
ap-7673	122	28	=	=	SYM
ap-7673	122	29	π	π	PROPN
ap-7673	122	30	,	,	PUNCT
ap-7673	122	31	γ	γ	X
ap-7673	122	32	=	=	SYM
ap-7673	122	33	1	1	NUM
ap-7673	122	34	,	,	PUNCT
ap-7673	122	35	v0	v0	NOUN
ap-7673	122	36	=	=	SYM
ap-7673	122	37	1.0	1.0	NUM
ap-7673	122	38	.	.	PUNCT
ap-7673	122	39	notice	notice	VERB
ap-7673	122	40	that	that	SCONJ
ap-7673	122	41	γ	γ	PROPN
ap-7673	122	42	−	−	PROPN
ap-7673	122	43	γ(s	γ(	NOUN
ap-7673	122	44	)	)	PUNCT
ap-7673	122	45	coincides	coincide	VERB
ap-7673	122	46	asymptotically	asymptotically	ADV
ap-7673	122	47	with	with	ADP
ap-7673	122	48	γ	γ	PROPN
ap-7673	122	49	.	.	PROPN
ap-7673	122	50	4.1	4.1	NUM
ap-7673	122	51	.	.	PUNCT
ap-7673	123	1	photonic	photonic	ADJ
ap-7673	123	2	graphene	graphene	NOUN
ap-7673	123	3	with	with	ADP
ap-7673	123	4	a	a	DET
ap-7673	123	5	single	single	ADJ
ap-7673	123	6	mode	mode	NOUN
ap-7673	123	7	let	let	VERB
ap-7673	123	8	us	we	PRON
ap-7673	123	9	start	start	VERB
ap-7673	123	10	from	from	ADP
ap-7673	123	11	the	the	DET
ap-7673	123	12	free	free	ADJ
ap-7673	123	13	particle	particle	NOUN
ap-7673	123	14	dirac	dirac	NOUN
ap-7673	123	15	equation	equation	NOUN
ap-7673	123	16	where	where	SCONJ
ap-7673	123	17	we	we	PRON
ap-7673	123	18	included	include	VERB
ap-7673	123	19	a	a	DET
ap-7673	123	20	purely	purely	ADV
ap-7673	123	21	imaginary	imaginary	ADJ
ap-7673	123	22	mass	mass	ADJ
ap-7673	123	23	term	term	NOUN
ap-7673	123	24	:	:	PUNCT
ap-7673	123	25	h0φ	h0φ	PROPN
ap-7673	123	26	=(	=(	NOUN
ap-7673	123	27	−iv0σ1∂r	−iv0σ1∂r	PROPN
ap-7673	123	28	−	−	PROPN
ap-7673	123	29	iv0σ2∂s	iv0σ2∂s	NOUN
ap-7673	123	30	+	+	X
ap-7673	123	31	iγσ3)φ	iγσ3)φ	NOUN
ap-7673	123	32	.	.	PUNCT
ap-7673	124	1	(	(	PUNCT
ap-7673	124	2	34	34	NUM
ap-7673	124	3	)	)	PUNCT
ap-7673	124	4	considering	consider	VERB
ap-7673	124	5	φ(r	φ(r	ADJ
ap-7673	124	6	,	,	PUNCT
ap-7673	124	7	s	s	NOUN
ap-7673	124	8	)	)	PUNCT
ap-7673	124	9	=	=	SYM
ap-7673	124	10	exp(ikrr)(ϕa(s	exp(ikrr)(ϕa(s	NOUN
ap-7673	124	11	)	)	PUNCT
ap-7673	124	12	,	,	PUNCT
ap-7673	124	13	ϕb(s))t	ϕb(s))t	PUNCT
ap-7673	124	14	,	,	PUNCT
ap-7673	124	15	the	the	DET
ap-7673	124	16	hamiltonian	hamiltonian	NOUN
ap-7673	124	17	can	can	AUX
ap-7673	124	18	be	be	AUX
ap-7673	124	19	written	write	VERB
ap-7673	124	20	as	as	ADP
ap-7673	124	21	h0(r	h0(r	PROPN
ap-7673	124	22	,	,	PUNCT
ap-7673	124	23	s	s	PART
ap-7673	124	24	)	)	PUNCT
ap-7673	124	25	=	=	SYM
ap-7673	125	1	−iv0σ2∂s	−iv0σ2∂	VERB
ap-7673	125	2	+	+	NUM
ap-7673	125	3	v0	v0	NOUN
ap-7673	125	4	,	,	PUNCT
ap-7673	125	5	(	(	PUNCT
ap-7673	125	6	35	35	NUM
ap-7673	125	7	)	)	PUNCT
ap-7673	126	1	where	where	SCONJ
ap-7673	126	2	v0	v0	NOUN
ap-7673	126	3	=	=	SYM
ap-7673	126	4	v0krσ1	v0krσ1	PROPN
ap-7673	126	5	+	+	X
ap-7673	126	6	iγσ3	iγσ3	PROPN
ap-7673	126	7	.	.	PUNCT
ap-7673	127	1	now	now	ADV
ap-7673	127	2	,	,	PUNCT
ap-7673	127	3	we	we	PRON
ap-7673	127	4	use	use	VERB
ap-7673	127	5	the	the	DET
ap-7673	127	6	matrix	matrix	NOUN
ap-7673	127	7	susy	susy	PROPN
ap-7673	127	8	-	-	PUNCT
ap-7673	127	9	qm	qm	PROPN
ap-7673	127	10	to	to	PART
ap-7673	127	11	construct	construct	VERB
ap-7673	127	12	a	a	DET
ap-7673	127	13	new	new	ADJ
ap-7673	127	14	system	system	NOUN
ap-7673	127	15	.	.	PUNCT
ap-7673	128	1	a	a	DET
ap-7673	128	2	convenient	convenient	ADJ
ap-7673	128	3	selection	selection	NOUN
ap-7673	128	4	of	of	ADP
ap-7673	128	5	the	the	DET
ap-7673	128	6	λ	λ	PROPN
ap-7673	128	7	elements	element	NOUN
ap-7673	128	8	is	be	AUX
ap-7673	128	9	λ1	λ1	ADJ
ap-7673	128	10	=	=	SYM
ap-7673	128	11	ϵ	ϵ	SYM
ap-7673	128	12	=	=	PUNCT
ap-7673	128	13	−λ2	−λ2	NOUN
ap-7673	128	14	.	.	PUNCT
ap-7673	129	1	we	we	PRON
ap-7673	129	2	build	build	VERB
ap-7673	129	3	the	the	DET
ap-7673	129	4	transformation	transformation	NOUN
ap-7673	129	5	matrix	matrix	NOUN
ap-7673	129	6	u	u	NOUN
ap-7673	129	7	with	with	ADP
ap-7673	129	8	the	the	DET
ap-7673	129	9	entries	entry	NOUN
ap-7673	129	10	u21	u21	NOUN
ap-7673	129	11	=	=	SYM
ap-7673	129	12	u∗	u∗	PROPN
ap-7673	129	13	22	22	NUM
ap-7673	129	14	=	=	SYM
ap-7673	129	15	cosh(κs	cosh(κs	PROPN
ap-7673	129	16	)	)	PUNCT
ap-7673	130	1	+	+	CCONJ
ap-7673	130	2	i	i	PROPN
ap-7673	130	3	sinh(κs	sinh(κs	PROPN
ap-7673	130	4	)	)	PUNCT
ap-7673	130	5	,	,	PUNCT
ap-7673	130	6	the	the	DET
ap-7673	130	7	corresponding	correspond	VERB
ap-7673	130	8	momentum	momentum	NOUN
ap-7673	130	9	in	in	ADP
ap-7673	130	10	s	s	PROPN
ap-7673	130	11	is	be	AUX
ap-7673	130	12	given	give	VERB
ap-7673	130	13	by	by	ADP
ap-7673	130	14	κ	κ	NOUN
ap-7673	130	15	=	=	SYM
ap-7673	130	16	√	√	PROPN
ap-7673	130	17	k2	k2	PROPN
ap-7673	130	18	r	r	NOUN
ap-7673	130	19	−	−	PROPN
ap-7673	130	20	(	(	PUNCT
ap-7673	130	21	γ2	γ2	PROPN
ap-7673	130	22	+	+	CCONJ
ap-7673	130	23	ϵ2)/v2	ϵ2)/v2	NOUN
ap-7673	130	24	0	0	NUM
ap-7673	130	25	.	.	PUNCT
ap-7673	131	1	the	the	DET
ap-7673	131	2	other	other	ADJ
ap-7673	131	3	two	two	NUM
ap-7673	131	4	components	component	NOUN
ap-7673	131	5	are	be	AUX
ap-7673	131	6	found	find	VERB
ap-7673	131	7	through	through	ADP
ap-7673	131	8	the	the	DET
ap-7673	131	9	equation	equation	NOUN
ap-7673	131	10	:	:	PUNCT
ap-7673	131	11	u1j	u1j	NOUN
ap-7673	131	12	=	=	SYM
ap-7673	131	13	v0	v0	NOUN
ap-7673	131	14	(	(	PUNCT
ap-7673	131	15	λj	λj	PROPN
ap-7673	131	16	−	−	PROPN
ap-7673	131	17	iγ	iγ	NOUN
ap-7673	131	18	)	)	PUNCT
ap-7673	131	19	(	(	PUNCT
ap-7673	131	20	−u′	−u′	NOUN
ap-7673	131	21	2j	2j	X
ap-7673	131	22	+	+	CCONJ
ap-7673	131	23	kru2j	kru2j	PROPN
ap-7673	131	24	)	)	PUNCT
ap-7673	131	25	,	,	PUNCT
ap-7673	131	26	j	j	PROPN
ap-7673	132	1	=	=	SYM
ap-7673	132	2	1	1	NUM
ap-7673	132	3	,	,	PUNCT
ap-7673	132	4	2	2	NUM
ap-7673	132	5	.	.	PUNCT
ap-7673	132	6	(	(	PUNCT
ap-7673	132	7	36	36	NUM
ap-7673	132	8	)	)	PUNCT
ap-7673	132	9	from	from	ADP
ap-7673	132	10	(	(	PUNCT
ap-7673	132	11	29	29	NUM
ap-7673	132	12	)	)	PUNCT
ap-7673	132	13	we	we	PRON
ap-7673	132	14	obtain	obtain	VERB
ap-7673	132	15	v1	v1	NOUN
ap-7673	132	16	as	as	ADP
ap-7673	132	17	v1	v1	NOUN
ap-7673	132	18	=	=	SYM
ap-7673	132	19	v0	v0	NOUN
ap-7673	132	20	+	+	CCONJ
ap-7673	132	21	σ1k(s	σ1k(s	PROPN
ap-7673	132	22	)	)	PUNCT
ap-7673	132	23	−	−	ADP
ap-7673	133	1	iσ3γ(s	iσ3γ(	NOUN
ap-7673	133	2	)	)	PUNCT
ap-7673	133	3	,	,	PUNCT
ap-7673	133	4	(	(	PUNCT
ap-7673	133	5	37	37	NUM
ap-7673	133	6	)	)	PUNCT
ap-7673	133	7	where	where	SCONJ
ap-7673	133	8	γ(s	γ(	NOUN
ap-7673	133	9	)	)	PUNCT
ap-7673	133	10	,	,	PUNCT
ap-7673	133	11	k(s	k(s	PROPN
ap-7673	133	12	)	)	PUNCT
ap-7673	133	13	are	be	AUX
ap-7673	133	14	given	give	VERB
ap-7673	133	15	by	by	ADP
ap-7673	133	16	γ	γ	NOUN
ap-7673	133	17	=	=	SYM
ap-7673	133	18	2γ	2γ	NOUN
ap-7673	133	19	+	+	X
ap-7673	134	1	2ϵ	2ϵ	NUM
ap-7673	134	2	(	(	PUNCT
ap-7673	134	3	κ(γ	κ(γ	NOUN
ap-7673	134	4	sinh(2κs	sinh(2κs	NOUN
ap-7673	134	5	)	)	PUNCT
ap-7673	134	6	+	+	SYM
ap-7673	134	7	ϵ	ϵ	X
ap-7673	134	8	)	)	PUNCT
ap-7673	134	9	−	−	PROPN
ap-7673	134	10	γkr	γkr	PROPN
ap-7673	134	11	cosh(2κs	cosh(2κs	PROPN
ap-7673	134	12	)	)	PUNCT
ap-7673	134	13	)	)	PUNCT
ap-7673	135	1	κ(γ	κ(γ	PROPN
ap-7673	135	2	−	−	PROPN
ap-7673	135	3	ϵ	ϵ	ADP
ap-7673	135	4	sinh(2κs	sinh(2κs	NOUN
ap-7673	135	5	)	)	PUNCT
ap-7673	135	6	)	)	PUNCT
ap-7673	136	1	+	+	CCONJ
ap-7673	136	2	krϵ	krϵ	PROPN
ap-7673	136	3	cosh(2κs	cosh(2κs	PROPN
ap-7673	136	4	)	)	PUNCT
ap-7673	136	5	,	,	PUNCT
ap-7673	136	6	k	k	PROPN
ap-7673	136	7	=	=	SYM
ap-7673	136	8	2v0krϵ	2v0krϵ	PROPN
ap-7673	136	9	(	(	PUNCT
ap-7673	136	10	kr	kr	PROPN
ap-7673	136	11	cosh(2κs	cosh(2κs	PROPN
ap-7673	136	12	)	)	PUNCT
ap-7673	136	13	−	−	PROPN
ap-7673	136	14	κ	κ	NOUN
ap-7673	136	15	sinh(2κs	sinh(2κs	NOUN
ap-7673	136	16	)	)	PUNCT
ap-7673	136	17	)	)	PUNCT
ap-7673	137	1	κ(γ	κ(γ	PROPN
ap-7673	137	2	−	−	PROPN
ap-7673	137	3	ϵ	ϵ	ADP
ap-7673	137	4	sinh(2κs	sinh(2κs	NOUN
ap-7673	137	5	)	)	PUNCT
ap-7673	137	6	)	)	PUNCT
ap-7673	138	1	+	+	CCONJ
ap-7673	138	2	krϵ	krϵ	PROPN
ap-7673	138	3	cosh(2κs	cosh(2κs	PROPN
ap-7673	138	4	)	)	PUNCT
ap-7673	138	5	−	−	PROPN
ap-7673	138	6	2v0kr	2v0kr	NUM
ap-7673	138	7	.	.	PUNCT
ap-7673	139	1	figure	figure	NOUN
ap-7673	139	2	2	2	NUM
ap-7673	139	3	shows	show	VERB
ap-7673	139	4	a	a	DET
ap-7673	139	5	plot	plot	NOUN
ap-7673	139	6	of	of	ADP
ap-7673	139	7	the	the	DET
ap-7673	139	8	functions	function	NOUN
ap-7673	139	9	v0kr	v0kr	X
ap-7673	140	1	+	+	CCONJ
ap-7673	140	2	k(s	k(s	PRON
ap-7673	140	3	)	)	PUNCT
ap-7673	140	4	and	and	CCONJ
ap-7673	140	5	γ	γ	X
ap-7673	140	6	−	−	PROPN
ap-7673	140	7	γ(s	γ(s	PROPN
ap-7673	140	8	)	)	PUNCT
ap-7673	140	9	.	.	PUNCT
ap-7673	141	1	the	the	DET
ap-7673	141	2	new	new	ADJ
ap-7673	141	3	hamiltonian	hamiltonian	NOUN
ap-7673	141	4	takes	take	VERB
ap-7673	141	5	the	the	DET
ap-7673	141	6	form	form	NOUN
ap-7673	141	7	h1(r	h1(r	ADP
ap-7673	141	8	,	,	PUNCT
ap-7673	141	9	s	s	PART
ap-7673	141	10	)	)	PUNCT
ap-7673	141	11	=	=	PUNCT
ap-7673	141	12	−iσ2v0∂s	−iσ2v0∂s	VERB
ap-7673	141	13	+	+	CCONJ
ap-7673	141	14	σ1(−iv0∂r	σ1(−iv0∂r	ADJ
ap-7673	141	15	+	+	ADP
ap-7673	141	16	k)+	k)+	PROPN
ap-7673	141	17	iσ3(γ	iσ3(γ	PROPN
ap-7673	141	18	−γ	−γ	ADJ
ap-7673	141	19	)	)	PUNCT
ap-7673	141	20	.	.	PUNCT
ap-7673	142	1	(	(	PUNCT
ap-7673	142	2	38	38	NUM
ap-7673	142	3	)	)	PUNCT
ap-7673	142	4	this	this	DET
ap-7673	142	5	system	system	NOUN
ap-7673	142	6	supports	support	VERB
ap-7673	142	7	two	two	NUM
ap-7673	142	8	single	single	ADJ
ap-7673	142	9	bound	bind	VERB
ap-7673	142	10	states	state	NOUN
ap-7673	142	11	.	.	PUNCT
ap-7673	143	1	they	they	PRON
ap-7673	143	2	are	be	AUX
ap-7673	143	3	the	the	DET
ap-7673	143	4	columns	column	NOUN
ap-7673	143	5	of	of	ADP
ap-7673	143	6	the	the	DET
ap-7673	143	7	matrix	matrix	NOUN
ap-7673	143	8	(	(	PUNCT
ap-7673	143	9	ut	ut	PROPN
ap-7673	143	10	)	)	PUNCT
ap-7673	143	11	−1	−1	NOUN
ap-7673	143	12	=	=	SYM
ap-7673	143	13	(	(	PUNCT
ap-7673	143	14	φϵ,φ−ϵ	φϵ,φ−ϵ	NUM
ap-7673	143	15	)	)	PUNCT
ap-7673	143	16	.	.	PUNCT
ap-7673	144	1	the	the	DET
ap-7673	144	2	eigenvector	eigenvector	NOUN
ap-7673	144	3	associated	associate	VERB
ap-7673	144	4	with	with	ADP
ap-7673	144	5	ϵ	ϵ	PROPN
ap-7673	144	6	is	be	AUX
ap-7673	144	7	given	give	VERB
ap-7673	144	8	by	by	ADP
ap-7673	144	9	φϵ(r	φϵ(r	NOUN
ap-7673	144	10	,	,	PUNCT
ap-7673	144	11	s	s	PART
ap-7673	144	12	)	)	PUNCT
ap-7673	144	13	=	=	SYM
ap-7673	144	14	eikrr	eikrr	ADJ
ap-7673	144	15	2	2	NUM
ap-7673	144	16			PROPN
ap-7673	144	17	−	−	PROPN
ap-7673	144	18	(	(	PUNCT
ap-7673	144	19	γ2+ϵ2)(cosh(κs)+i	γ2+ϵ2)(cosh(κs)+i	PROPN
ap-7673	144	20	sinh(κs	sinh(κs	PROPN
ap-7673	144	21	)	)	PUNCT
ap-7673	144	22	)	)	PUNCT
ap-7673	144	23	v0κ(γ−ϵ	v0κ(γ−ϵ	NOUN
ap-7673	144	24	sinh(2κs))+v0krϵ	sinh(2κs))+v0krϵ	NOUN
ap-7673	144	25	cosh(2κs	cosh(2κs	PROPN
ap-7673	144	26	)	)	PUNCT
ap-7673	144	27	(	(	PUNCT
ap-7673	144	28	γ−iϵ)((κ+ikr	γ−iϵ)((κ+ikr	PROPN
ap-7673	144	29	)	)	PUNCT
ap-7673	144	30	cosh(κs)−(kr+iκ	cosh(κs)−(kr+iκ	PROPN
ap-7673	144	31	)	)	PUNCT
ap-7673	144	32	sinh(κs	sinh(κs	NOUN
ap-7673	144	33	)	)	PUNCT
ap-7673	144	34	)	)	PUNCT
ap-7673	145	1	κ(γ−ϵ	κ(γ−ϵ	ADP
ap-7673	145	2	sinh(2κs))+krϵ	sinh(2κs))+krϵ	PROPN
ap-7673	145	3	cosh(2κs	cosh(2κs	PROPN
ap-7673	145	4	)	)	PUNCT
ap-7673	145	5			PROPN
ap-7673	145	6	.	.	PUNCT
ap-7673	146	1	(	(	PUNCT
ap-7673	146	2	39	39	NUM
ap-7673	146	3	)	)	PUNCT
ap-7673	146	4	26	26	NUM
ap-7673	146	5	vol	vol	NOUN
ap-7673	146	6	.	.	PUNCT
ap-7673	147	1	62	62	NUM
ap-7673	147	2	no	no	INTJ
ap-7673	147	3	.	.	PUNCT
ap-7673	148	1	1/2022	1/2022	NUM
ap-7673	148	2	photonic	photonic	ADJ
ap-7673	148	3	graphene	graphene	NOUN
ap-7673	148	4	under	under	ADP
ap-7673	148	5	strain	strain	NOUN
ap-7673	148	6	with	with	ADP
ap-7673	148	7	position	position	NOUN
ap-7673	148	8	-	-	PUNCT
ap-7673	148	9	dependent	dependent	ADJ
ap-7673	148	10	.	.	PUNCT
ap-7673	148	11	.	.	PUNCT
ap-7673	148	12	.	.	PUNCT
ap-7673	149	1	our	our	PRON
ap-7673	149	2	next	next	ADJ
ap-7673	149	3	step	step	NOUN
ap-7673	149	4	is	be	AUX
ap-7673	149	5	to	to	PART
ap-7673	149	6	apply	apply	VERB
ap-7673	149	7	the	the	DET
ap-7673	149	8	gauge	gauge	ADJ
ap-7673	149	9	transformation	transformation	NOUN
ap-7673	149	10	defined	define	VERB
ap-7673	149	11	in	in	ADP
ap-7673	149	12	(	(	PUNCT
ap-7673	149	13	20)-(22	20)-(22	NOUN
ap-7673	149	14	)	)	PUNCT
ap-7673	149	15	.	.	PUNCT
ap-7673	150	1	the	the	DET
ap-7673	150	2	strain	strain	NOUN
ap-7673	150	3	and	and	CCONJ
ap-7673	150	4	fermi	fermi	NOUN
ap-7673	150	5	velocity	velocity	NOUN
ap-7673	150	6	tensors	tensor	NOUN
ap-7673	150	7	that	that	PRON
ap-7673	150	8	we	we	PRON
ap-7673	150	9	consider	consider	VERB
ap-7673	150	10	are	be	AUX
ap-7673	150	11	u	u	NOUN
ap-7673	150	12	=	=	PUNCT
ap-7673	150	13	(	(	PUNCT
ap-7673	150	14	0	0	NUM
ap-7673	150	15	0	0	NUM
ap-7673	150	16	0	0	NUM
ap-7673	150	17	−	−	PROPN
ap-7673	150	18	2ak(y	2ak(y	NUM
ap-7673	150	19	)	)	PUNCT
ap-7673	150	20	)	)	PUNCT
ap-7673	150	21	β	β	PROPN
ap-7673	150	22	)	)	PUNCT
ap-7673	150	23	,	,	PUNCT
ap-7673	150	24	v	v	X
ap-7673	150	25	=	=	SYM
ap-7673	150	26	v0	v0	NOUN
ap-7673	150	27	(	(	PUNCT
ap-7673	150	28	1	1	NUM
ap-7673	150	29	1	1	NUM
ap-7673	150	30	1	1	NUM
ap-7673	150	31	1	1	NUM
ap-7673	150	32	−	−	PROPN
ap-7673	150	33	(	(	PUNCT
ap-7673	150	34	1	1	NUM
ap-7673	150	35	−	−	PROPN
ap-7673	150	36	β	β	X
ap-7673	150	37	)	)	PUNCT
ap-7673	150	38	2ak(y	2ak(y	NUM
ap-7673	150	39	)	)	PUNCT
ap-7673	150	40	β	β	PROPN
ap-7673	150	41	)	)	PUNCT
ap-7673	150	42	,	,	PUNCT
ap-7673	150	43	(	(	PUNCT
ap-7673	150	44	40	40	NUM
ap-7673	150	45	)	)	PUNCT
ap-7673	150	46	see	see	VERB
ap-7673	150	47	(	(	PUNCT
ap-7673	150	48	18	18	NUM
ap-7673	150	49	)	)	PUNCT
ap-7673	150	50	.	.	PUNCT
ap-7673	151	1	the	the	DET
ap-7673	151	2	change	change	NOUN
ap-7673	151	3	of	of	ADP
ap-7673	151	4	variables	variable	NOUN
ap-7673	151	5	in	in	ADP
ap-7673	151	6	(	(	PUNCT
ap-7673	151	7	20	20	NUM
ap-7673	151	8	)	)	PUNCT
ap-7673	151	9	becomes	become	VERB
ap-7673	151	10	r	r	NOUN
ap-7673	151	11	=	=	SYM
ap-7673	151	12	x	x	NOUN
ap-7673	151	13	,	,	PUNCT
ap-7673	151	14	s	s	PART
ap-7673	151	15	=	=	SYM
ap-7673	151	16	∫	∫	PROPN
ap-7673	151	17	1	1	NUM
ap-7673	151	18	1	1	NUM
ap-7673	151	19	−	−	PROPN
ap-7673	151	20	(	(	PUNCT
ap-7673	151	21	1	1	NUM
ap-7673	151	22	−	−	PROPN
ap-7673	151	23	β	β	X
ap-7673	151	24	)	)	PUNCT
ap-7673	151	25	2ak(y	2ak(y	NUM
ap-7673	151	26	)	)	PUNCT
ap-7673	151	27	β	β	X
ap-7673	151	28	dy	dy	X
ap-7673	151	29	,	,	PUNCT
ap-7673	151	30	(	(	PUNCT
ap-7673	151	31	41	41	NUM
ap-7673	151	32	)	)	PUNCT
ap-7673	151	33	and	and	CCONJ
ap-7673	151	34	the	the	DET
ap-7673	151	35	operator	operator	NOUN
ap-7673	151	36	g(x	g(x	NOUN
ap-7673	151	37	,	,	PUNCT
ap-7673	151	38	y	y	NOUN
ap-7673	151	39	)	)	PUNCT
ap-7673	151	40	=	=	SYM
ap-7673	152	1	√	√	ADP
ap-7673	152	2	1	1	NUM
ap-7673	152	3	−	−	PROPN
ap-7673	152	4	(	(	PUNCT
ap-7673	152	5	1	1	NUM
ap-7673	152	6	−	−	PROPN
ap-7673	152	7	β	β	X
ap-7673	152	8	)	)	PUNCT
ap-7673	152	9	2ak(y	2ak(y	NUM
ap-7673	152	10	)	)	PUNCT
ap-7673	153	1	β	β	X
ap-7673	153	2	.	.	PUNCT
ap-7673	154	1	this	this	DET
ap-7673	154	2	choice	choice	NOUN
ap-7673	154	3	leads	lead	VERB
ap-7673	154	4	to	to	ADP
ap-7673	154	5	the	the	DET
ap-7673	154	6	following	follow	VERB
ap-7673	154	7	hamiltonian	hamiltonian	ADJ
ap-7673	154	8	h1(x	h1(x	PROPN
ap-7673	154	9	,	,	PUNCT
ap-7673	154	10	y	y	NOUN
ap-7673	154	11	)	)	PUNCT
ap-7673	154	12	=	=	SYM
ap-7673	155	1	−	−	PROPN
ap-7673	155	2	iv0σ1∂x	iv0σ1∂x	NOUN
ap-7673	155	3	−	−	NOUN
ap-7673	155	4	iσ2	iσ2	NOUN
ap-7673	155	5	√	√	NOUN
ap-7673	155	6	v22(y)∂y	v22(y)∂y	NUM
ap-7673	155	7	√	√	NUM
ap-7673	155	8	v22(y	v22(y	NOUN
ap-7673	155	9	)	)	PUNCT
ap-7673	155	10	−	−	PROPN
ap-7673	155	11	σ1	σ1	PROPN
ap-7673	155	12	v0β	v0β	NOUN
ap-7673	155	13	2a	2a	NUM
ap-7673	155	14	u22(y	u22(y	ADJ
ap-7673	155	15	)	)	PUNCT
ap-7673	156	1	+	+	CCONJ
ap-7673	156	2	i(γ	i(γ	PROPN
ap-7673	156	3	−	−	PROPN
ap-7673	156	4	γ(y))σ3	γ(y))σ3	PROPN
ap-7673	156	5	.	.	PUNCT
ap-7673	157	1	(	(	PUNCT
ap-7673	157	2	42	42	NUM
ap-7673	157	3	)	)	PUNCT
ap-7673	157	4	bounded	bound	VERB
ap-7673	157	5	eigenstates	eigenstate	NOUN
ap-7673	157	6	of	of	ADP
ap-7673	157	7	h1	h1	PROPN
ap-7673	157	8	can	can	AUX
ap-7673	157	9	be	be	AUX
ap-7673	157	10	found	find	VERB
ap-7673	157	11	as	as	ADP
ap-7673	157	12	ψϵ(x	ψϵ(x	NOUN
ap-7673	157	13	,	,	PUNCT
ap-7673	157	14	y	y	NOUN
ap-7673	157	15	)	)	PUNCT
ap-7673	157	16	=	=	SYM
ap-7673	157	17	g−1(x	g−1(x	PROPN
ap-7673	157	18	,	,	PUNCT
ap-7673	157	19	y)φϵ(r(x	y)φϵ(r(x	PROPN
ap-7673	157	20	)	)	PUNCT
ap-7673	157	21	,	,	PUNCT
ap-7673	157	22	s(y	s(y	PROPN
ap-7673	157	23	)	)	PUNCT
ap-7673	157	24	)	)	PUNCT
ap-7673	157	25	.	.	PUNCT
ap-7673	158	1	in	in	ADP
ap-7673	158	2	this	this	DET
ap-7673	158	3	system	system	NOUN
ap-7673	158	4	,	,	PUNCT
ap-7673	158	5	there	there	PRON
ap-7673	158	6	is	be	VERB
ap-7673	158	7	a	a	DET
ap-7673	158	8	single	single	ADJ
ap-7673	158	9	mode	mode	NOUN
ap-7673	158	10	in	in	ADP
ap-7673	158	11	the	the	DET
ap-7673	158	12	upper	upper	ADJ
ap-7673	158	13	dirac	dirac	NOUN
ap-7673	158	14	cone	cone	NOUN
ap-7673	158	15	and	and	CCONJ
ap-7673	158	16	another	another	PRON
ap-7673	158	17	in	in	ADP
ap-7673	158	18	the	the	DET
ap-7673	158	19	bottom	bottom	ADJ
ap-7673	158	20	cone	cone	NOUN
ap-7673	158	21	.	.	PUNCT
ap-7673	159	1	the	the	DET
ap-7673	159	2	strain	strain	NOUN
ap-7673	159	3	generates	generate	VERB
ap-7673	159	4	an	an	DET
ap-7673	159	5	analog	analog	NOUN
ap-7673	159	6	of	of	ADP
ap-7673	159	7	a	a	DET
ap-7673	159	8	magnetic	magnetic	ADJ
ap-7673	159	9	field	field	NOUN
ap-7673	159	10	perpendicular	perpendicular	NOUN
ap-7673	159	11	to	to	ADP
ap-7673	159	12	the	the	DET
ap-7673	159	13	graphene	graphene	NOUN
ap-7673	159	14	layer	layer	NOUN
ap-7673	159	15	b⃗(y	b⃗(y	NOUN
ap-7673	159	16	)	)	PUNCT
ap-7673	159	17	=	=	PUNCT
ap-7673	160	1	(	(	PUNCT
ap-7673	160	2	β/2a)∂yu22ẑ.	β/2a)∂yu22ẑ.	NOUN
ap-7673	160	3	since	since	SCONJ
ap-7673	160	4	we	we	PRON
ap-7673	160	5	are	be	AUX
ap-7673	160	6	working	work	VERB
ap-7673	160	7	with	with	ADP
ap-7673	160	8	a	a	DET
ap-7673	160	9	photonic	photonic	ADJ
ap-7673	160	10	graphene	graphene	NOUN
ap-7673	160	11	,	,	PUNCT
ap-7673	160	12	such	such	DET
ap-7673	160	13	a	a	DET
ap-7673	160	14	pseudo	pseudo	NOUN
ap-7673	160	15	-	-	ADJ
ap-7673	160	16	magnetic	magnetic	ADJ
ap-7673	160	17	field	field	NOUN
ap-7673	160	18	affects	affect	VERB
ap-7673	160	19	light	light	ADJ
ap-7673	160	20	.	.	PUNCT
ap-7673	161	1	moreover	moreover	ADV
ap-7673	161	2	,	,	PUNCT
ap-7673	161	3	the	the	DET
ap-7673	161	4	term	term	NOUN
ap-7673	161	5	iγ(y)σ3	iγ(y)σ3	NOUN
ap-7673	161	6	indicates	indicate	VERB
ap-7673	161	7	a	a	DET
ap-7673	161	8	position	position	NOUN
ap-7673	161	9	dependent	dependent	ADJ
ap-7673	161	10	gain	gain	NOUN
ap-7673	161	11	/	/	SYM
ap-7673	161	12	loss	loss	NOUN
ap-7673	161	13	in	in	ADP
ap-7673	161	14	the	the	DET
ap-7673	161	15	optical	optical	ADJ
ap-7673	161	16	fibers	fiber	NOUN
ap-7673	161	17	of	of	ADP
ap-7673	161	18	the	the	DET
ap-7673	161	19	sublattice	sublattice	NOUN
ap-7673	161	20	a	a	DET
ap-7673	161	21	/	/	SYM
ap-7673	161	22	b.	b.	PROPN
ap-7673	161	23	figure	figure	NOUN
ap-7673	161	24	3a	3a	PROPN
ap-7673	161	25	shows	show	VERB
ap-7673	161	26	the	the	DET
ap-7673	161	27	square	square	ADJ
ap-7673	161	28	modulus	modulus	NOUN
ap-7673	161	29	of	of	ADP
ap-7673	161	30	each	each	DET
ap-7673	161	31	component	component	NOUN
ap-7673	161	32	of	of	ADP
ap-7673	161	33	φϵ	φϵ	NOUN
ap-7673	161	34	=	=	PUNCT
ap-7673	161	35	(	(	PUNCT
ap-7673	161	36	ϕϵa	ϕϵa	NOUN
ap-7673	161	37	,	,	PUNCT
ap-7673	161	38	ϕϵb)t	ϕϵb)t	PROPN
ap-7673	161	39	(	(	PUNCT
ap-7673	161	40	shadowed	shadow	VERB
ap-7673	161	41	curves	curve	NOUN
ap-7673	161	42	)	)	PUNCT
ap-7673	161	43	and	and	CCONJ
ap-7673	161	44	the	the	DET
ap-7673	161	45	intensity	intensity	NOUN
ap-7673	161	46	|ϕϵa|2	|ϕϵa|2	PROPN
ap-7673	161	47	+	+	SYM
ap-7673	161	48	|ϕϵb	|ϕϵb	NOUN
ap-7673	161	49	|2	|2	NUM
ap-7673	161	50	(	(	PUNCT
ap-7673	161	51	red	red	ADJ
ap-7673	161	52	curve	curve	NOUN
ap-7673	161	53	)	)	PUNCT
ap-7673	161	54	.	.	PUNCT
ap-7673	162	1	figure	figure	NOUN
ap-7673	162	2	3b	3b	PROPN
ap-7673	162	3	shows	show	VERB
ap-7673	162	4	the	the	DET
ap-7673	162	5	same	same	ADJ
ap-7673	162	6	for	for	SCONJ
ap-7673	162	7	the	the	DET
ap-7673	162	8	mode	mode	NOUN
ap-7673	162	9	ψϵ.	ψϵ.	PROPN
ap-7673	162	10	4.2	4.2	NUM
ap-7673	162	11	.	.	PUNCT
ap-7673	163	1	photonic	photonic	ADJ
ap-7673	163	2	graphene	graphene	NOUN
ap-7673	163	3	with	with	ADP
ap-7673	163	4	two	two	NUM
ap-7673	163	5	modes	mode	NOUN
ap-7673	163	6	in	in	ADP
ap-7673	163	7	this	this	DET
ap-7673	163	8	subsection	subsection	NOUN
ap-7673	163	9	,	,	PUNCT
ap-7673	163	10	we	we	PRON
ap-7673	163	11	use	use	VERB
ap-7673	163	12	two	two	NUM
ap-7673	163	13	iterations	iteration	NOUN
ap-7673	163	14	of	of	ADP
ap-7673	163	15	the	the	DET
ap-7673	163	16	matrix	matrix	NOUN
ap-7673	163	17	susy	susy	PROPN
ap-7673	163	18	-	-	PUNCT
ap-7673	163	19	qm	qm	PROPN
ap-7673	163	20	,	,	PUNCT
ap-7673	163	21	starting	start	VERB
ap-7673	163	22	again	again	ADV
ap-7673	163	23	from	from	ADP
ap-7673	163	24	the	the	DET
ap-7673	163	25	free	free	ADJ
ap-7673	163	26	-	-	PUNCT
ap-7673	163	27	particle	particle	NOUN
ap-7673	163	28	hamiltonian	hamiltonian	NOUN
ap-7673	163	29	.	.	PUNCT
ap-7673	164	1	let	let	VERB
ap-7673	164	2	us	we	PRON
ap-7673	164	3	choose	choose	VERB
ap-7673	164	4	an	an	DET
ap-7673	164	5	initial	initial	ADJ
ap-7673	164	6	system	system	NOUN
ap-7673	164	7	with	with	ADP
ap-7673	164	8	zero	zero	NUM
ap-7673	164	9	gain	gain	NOUN
ap-7673	164	10	/	/	SYM
ap-7673	164	11	loss	loss	NOUN
ap-7673	164	12	(	(	PUNCT
ap-7673	164	13	γ	γ	X
ap-7673	164	14	=	=	SYM
ap-7673	164	15	0	0	NUM
ap-7673	164	16	)	)	PUNCT
ap-7673	164	17	,	,	PUNCT
ap-7673	164	18	which	which	PRON
ap-7673	164	19	is	be	AUX
ap-7673	164	20	a	a	DET
ap-7673	164	21	massless	massless	ADJ
ap-7673	164	22	fermion	fermion	NOUN
ap-7673	164	23	in	in	ADP
ap-7673	164	24	graphene	graphene	NOUN
ap-7673	164	25	.	.	PUNCT
ap-7673	165	1	in	in	ADP
ap-7673	165	2	the	the	DET
ap-7673	165	3	first	first	ADJ
ap-7673	165	4	matrix	matrix	NOUN
ap-7673	165	5	susy	susy	PROPN
ap-7673	165	6	-	-	PUNCT
ap-7673	165	7	qm	qm	PROPN
ap-7673	165	8	step	step	NOUN
ap-7673	165	9	we	we	PRON
ap-7673	165	10	use	use	VERB
ap-7673	165	11	the	the	DET
ap-7673	165	12	same	same	ADJ
ap-7673	165	13	transformation	transformation	NOUN
ap-7673	165	14	matrix	matrix	NOUN
ap-7673	165	15	u	u	NOUN
ap-7673	165	16	as	as	ADP
ap-7673	165	17	in	in	ADP
ap-7673	165	18	the	the	DET
ap-7673	165	19	example	example	NOUN
ap-7673	165	20	above	above	ADV
ap-7673	165	21	.	.	PUNCT
ap-7673	166	1	the	the	DET
ap-7673	166	2	first	first	ADJ
ap-7673	166	3	matrix	matrix	NOUN
ap-7673	166	4	susy	susy	PROPN
ap-7673	166	5	-	-	PUNCT
ap-7673	166	6	qm	qm	PROPN
ap-7673	166	7	partner	partner	NOUN
ap-7673	166	8	hamiltonian	hamiltonian	PROPN
ap-7673	166	9	has	have	VERB
ap-7673	166	10	the	the	DET
ap-7673	166	11	form	form	NOUN
ap-7673	166	12	h1	h1	NOUN
ap-7673	166	13	=	=	SYM
ap-7673	166	14	−iσ2v0∂s	−iσ2v0∂s	PROPN
ap-7673	166	15	+	+	CCONJ
ap-7673	166	16	σ1k(s	σ1k(s	PROPN
ap-7673	166	17	)	)	PUNCT
ap-7673	166	18	+	+	PUNCT
ap-7673	166	19	iσ3γ(s	iσ3γ(	NOUN
ap-7673	166	20	)	)	PUNCT
ap-7673	166	21	,	,	PUNCT
ap-7673	166	22	(	(	PUNCT
ap-7673	166	23	43	43	NUM
ap-7673	166	24	)	)	PUNCT
ap-7673	166	25	where	where	SCONJ
ap-7673	166	26	k(s	k(s	ADV
ap-7673	166	27	)	)	PUNCT
ap-7673	166	28	=	=	SYM
ap-7673	166	29	krv0	krv0	PROPN
ap-7673	166	30	,	,	PUNCT
ap-7673	166	31	γ(s	γ(s	PROPN
ap-7673	166	32	)	)	PUNCT
ap-7673	167	1	=	=	PUNCT
ap-7673	168	1	2ϵv0κ	2ϵv0κ	NUM
ap-7673	168	2	κv0	κv0	NOUN
ap-7673	168	3	sinh(2κs	sinh(2κs	NOUN
ap-7673	168	4	)	)	PUNCT
ap-7673	168	5	−	−	PROPN
ap-7673	168	6	krv0	krv0	PROPN
ap-7673	168	7	cosh(2κs	cosh(2κs	PROPN
ap-7673	168	8	)	)	PUNCT
ap-7673	168	9	,	,	PUNCT
ap-7673	168	10	(	(	PUNCT
ap-7673	168	11	44	44	NUM
ap-7673	168	12	)	)	PUNCT
ap-7673	168	13	with	with	ADP
ap-7673	168	14	κ	κ	NOUN
ap-7673	168	15	=	=	VERB
ap-7673	168	16	√	√	PROPN
ap-7673	168	17	(	(	PUNCT
ap-7673	168	18	krv0)2	krv0)2	PROPN
ap-7673	168	19	−	−	PROPN
ap-7673	168	20	ϵ2	ϵ2	PROPN
ap-7673	168	21	/	/	SYM
ap-7673	168	22	v0	v0	NOUN
ap-7673	168	23	.	.	PUNCT
ap-7673	169	1	as	as	ADP
ap-7673	169	2	a	a	DET
ap-7673	169	3	result	result	NOUN
ap-7673	169	4	of	of	ADP
ap-7673	169	5	the	the	DET
ap-7673	169	6	first	first	ADJ
ap-7673	169	7	matrix	matrix	NOUN
ap-7673	169	8	susy	susy	PROPN
ap-7673	169	9	-	-	PUNCT
ap-7673	169	10	qm	qm	PROPN
ap-7673	169	11	step	step	NOUN
ap-7673	169	12	,	,	PUNCT
ap-7673	169	13	it	it	PRON
ap-7673	169	14	is	be	AUX
ap-7673	169	15	generated	generate	VERB
ap-7673	169	16	a	a	DET
ap-7673	169	17	position	position	NOUN
ap-7673	169	18	dependent	dependent	ADJ
ap-7673	169	19	gain	gain	NOUN
ap-7673	169	20	/	/	SYM
ap-7673	169	21	loss	loss	NOUN
ap-7673	169	22	term	term	NOUN
ap-7673	169	23	γ(s	γ(	NOUN
ap-7673	169	24	)	)	PUNCT
ap-7673	169	25	.	.	PUNCT
ap-7673	170	1	the	the	DET
ap-7673	170	2	iteration	iteration	NOUN
ap-7673	170	3	of	of	ADP
ap-7673	170	4	the	the	DET
ap-7673	170	5	method	method	NOUN
ap-7673	170	6	requires	require	VERB
ap-7673	170	7	to	to	PART
ap-7673	170	8	define	define	VERB
ap-7673	170	9	the	the	DET
ap-7673	170	10	second	second	ADJ
ap-7673	170	11	diagonal	diagonal	ADJ
ap-7673	170	12	matrix	matrix	NOUN
ap-7673	170	13	λ2	λ2	NOUN
ap-7673	170	14	,	,	PUNCT
ap-7673	170	15	with	with	ADP
ap-7673	170	16	λ̃1	λ̃1	PROPN
ap-7673	170	17	=	=	SYM
ap-7673	170	18	−λ̃2	−λ̃2	PROPN
ap-7673	170	19	=	=	SYM
ap-7673	170	20	ϵ1	ϵ1	NOUN
ap-7673	170	21	=	=	NOUN
ap-7673	170	22	̸	̸	NUM
ap-7673	170	23	ϵ	ϵ	NOUN
ap-7673	170	24	,	,	PUNCT
ap-7673	170	25	and	and	CCONJ
ap-7673	170	26	the	the	DET
ap-7673	170	27	second	second	ADJ
ap-7673	170	28	transformation	transformation	NOUN
ap-7673	170	29	matrix	matrix	NOUN
ap-7673	170	30	u2	u2	NOUN
ap-7673	170	31	.	.	PUNCT
ap-7673	171	1	for	for	ADP
ap-7673	171	2	this	this	DET
ap-7673	171	3	example	example	NOUN
ap-7673	171	4	,	,	PUNCT
ap-7673	171	5	we	we	PRON
ap-7673	171	6	(	(	PUNCT
ap-7673	171	7	a	a	NOUN
ap-7673	171	8	)	)	PUNCT
ap-7673	171	9	.	.	PUNCT
ap-7673	172	1	(	(	PUNCT
ap-7673	172	2	b	b	X
ap-7673	172	3	)	)	PUNCT
ap-7673	172	4	.	.	PUNCT
ap-7673	173	1	figure	figure	VERB
ap-7673	173	2	3	3	NUM
ap-7673	173	3	.	.	PUNCT
ap-7673	174	1	(	(	PUNCT
ap-7673	174	2	a	a	X
ap-7673	174	3	)	)	PUNCT
ap-7673	174	4	plot	plot	NOUN
ap-7673	174	5	of	of	ADP
ap-7673	174	6	the	the	DET
ap-7673	174	7	individual	individual	ADJ
ap-7673	174	8	intensities	intensity	NOUN
ap-7673	174	9	|ϕϵa|2	|ϕϵa|2	PROPN
ap-7673	174	10	(	(	PUNCT
ap-7673	174	11	gray	gray	ADJ
ap-7673	174	12	curve	curve	NOUN
ap-7673	174	13	)	)	PUNCT
ap-7673	174	14	and	and	CCONJ
ap-7673	174	15	|ϕϵb	|ϕϵb	NOUN
ap-7673	174	16	|2	|2	NUM
ap-7673	175	1	(	(	PUNCT
ap-7673	175	2	blue	blue	ADJ
ap-7673	175	3	curve	curve	NOUN
ap-7673	175	4	)	)	PUNCT
ap-7673	175	5	and	and	CCONJ
ap-7673	175	6	the	the	DET
ap-7673	175	7	total	total	ADJ
ap-7673	175	8	intensity	intensity	NOUN
ap-7673	175	9	|ϕϵa|2	|ϕϵa|2	VERB
ap-7673	175	10	+	+	SYM
ap-7673	175	11	|ϕϵb	|ϕϵb	NOUN
ap-7673	175	12	|2	|2	NUM
ap-7673	175	13	(	(	PUNCT
ap-7673	175	14	red	red	ADJ
ap-7673	175	15	line	line	NOUN
ap-7673	175	16	)	)	PUNCT
ap-7673	175	17	.	.	PUNCT
ap-7673	176	1	(	(	PUNCT
ap-7673	176	2	b	b	X
ap-7673	176	3	)	)	PUNCT
ap-7673	176	4	analog	analog	NOUN
ap-7673	176	5	of	of	ADP
ap-7673	176	6	the	the	DET
ap-7673	176	7	(	(	PUNCT
ap-7673	176	8	a	a	NOUN
ap-7673	176	9	)	)	PUNCT
ap-7673	176	10	plot	plot	NOUN
ap-7673	176	11	for	for	ADP
ap-7673	176	12	the	the	DET
ap-7673	176	13	solution	solution	NOUN
ap-7673	176	14	ψϵ	ψϵ	NOUN
ap-7673	176	15	of	of	ADP
ap-7673	176	16	the	the	DET
ap-7673	176	17	hamiltonian	hamiltonian	NOUN
ap-7673	176	18	under	under	ADP
ap-7673	176	19	strain	strain	NOUN
ap-7673	176	20	.	.	PUNCT
ap-7673	177	1	the	the	DET
ap-7673	177	2	parameters	parameter	NOUN
ap-7673	177	3	in	in	ADP
ap-7673	177	4	this	this	DET
ap-7673	177	5	case	case	NOUN
ap-7673	177	6	are	be	AUX
ap-7673	177	7	:	:	PUNCT
ap-7673	177	8	kr	kr	PROPN
ap-7673	177	9	=	=	SYM
ap-7673	177	10	π	π	PROPN
ap-7673	177	11	,	,	PUNCT
ap-7673	177	12	ϵ	ϵ	X
ap-7673	177	13	=	=	SYM
ap-7673	177	14	1.5	1.5	NUM
ap-7673	177	15	,	,	PUNCT
ap-7673	177	16	a	a	DET
ap-7673	177	17	=	=	SYM
ap-7673	177	18	1.0	1.0	NUM
ap-7673	177	19	,	,	PUNCT
ap-7673	177	20	β	β	X
ap-7673	177	21	=	=	NUM
ap-7673	177	22	0.8	0.8	NUM
ap-7673	177	23	,	,	PUNCT
ap-7673	177	24	γ	γ	NOUN
ap-7673	177	25	=	=	SYM
ap-7673	177	26	1	1	NUM
ap-7673	177	27	,	,	PUNCT
ap-7673	177	28	v0	v0	NOUN
ap-7673	177	29	=	=	SYM
ap-7673	177	30	1.0	1.0	NUM
ap-7673	177	31	.	.	PUNCT
ap-7673	178	1	figure	figure	NOUN
ap-7673	178	2	4	4	NUM
ap-7673	178	3	.	.	PUNCT
ap-7673	179	1	graph	graph	NOUN
ap-7673	179	2	of	of	ADP
ap-7673	179	3	the	the	DET
ap-7673	179	4	function	function	NOUN
ap-7673	179	5	v0kr	v0kr	X
ap-7673	179	6	+	+	PUNCT
ap-7673	179	7	k2(s	k2(s	NOUN
ap-7673	179	8	)	)	PUNCT
ap-7673	179	9	(	(	PUNCT
ap-7673	179	10	black	black	ADJ
ap-7673	179	11	line	line	NOUN
ap-7673	179	12	)	)	PUNCT
ap-7673	179	13	,	,	PUNCT
ap-7673	179	14	and	and	CCONJ
ap-7673	179	15	the	the	DET
ap-7673	179	16	gain	gain	NOUN
ap-7673	179	17	/	/	SYM
ap-7673	179	18	loss	loss	NOUN
ap-7673	179	19	function	function	NOUN
ap-7673	179	20	γ(s	γ(	NOUN
ap-7673	179	21	)	)	PUNCT
ap-7673	179	22	+	+	PUNCT
ap-7673	179	23	γ2(s	γ2(s	X
ap-7673	179	24	)	)	PUNCT
ap-7673	179	25	(	(	PUNCT
ap-7673	179	26	red	red	ADJ
ap-7673	179	27	dashed	dash	VERB
ap-7673	179	28	line	line	NOUN
ap-7673	179	29	)	)	PUNCT
ap-7673	179	30	,	,	PUNCT
ap-7673	179	31	for	for	ADP
ap-7673	179	32	ϵ	ϵ	NOUN
ap-7673	179	33	=	=	SYM
ap-7673	179	34	1.5	1.5	NUM
ap-7673	179	35	,	,	PUNCT
ap-7673	179	36	ϵ1	ϵ1	NOUN
ap-7673	179	37	=	=	SYM
ap-7673	179	38	2.0	2.0	NUM
ap-7673	179	39	,	,	PUNCT
ap-7673	179	40	kr	kr	PROPN
ap-7673	179	41	=	=	SYM
ap-7673	179	42	π	π	PROPN
ap-7673	179	43	,	,	PUNCT
ap-7673	179	44	γ	γ	X
ap-7673	179	45	=	=	SYM
ap-7673	179	46	0	0	NUM
ap-7673	179	47	,	,	PUNCT
ap-7673	179	48	v0	v0	NOUN
ap-7673	179	49	=	=	SYM
ap-7673	179	50	1.0	1.0	NUM
ap-7673	179	51	.	.	PUNCT
ap-7673	180	1	choose	choose	VERB
ap-7673	180	2	w21	w21	PROPN
ap-7673	180	3	=	=	SYM
ap-7673	180	4	cosh(κ2s	cosh(κ2s	PROPN
ap-7673	180	5	)	)	PUNCT
ap-7673	180	6	and	and	CCONJ
ap-7673	180	7	w22	w22	X
ap-7673	180	8	=	=	SYM
ap-7673	180	9	cosh(κ2s	cosh(κ2s	PROPN
ap-7673	180	10	)	)	PUNCT
ap-7673	180	11	,	,	PUNCT
ap-7673	180	12	where	where	SCONJ
ap-7673	180	13	κ2	κ2	NOUN
ap-7673	180	14	=	=	SYM
ap-7673	180	15	√	√	PROPN
ap-7673	180	16	(	(	PUNCT
ap-7673	180	17	krv0)2	krv0)2	PROPN
ap-7673	180	18	−	−	PROPN
ap-7673	180	19	ϵ21	ϵ21	PROPN
ap-7673	180	20	/	/	SYM
ap-7673	180	21	v0	v0	NOUN
ap-7673	180	22	.	.	PUNCT
ap-7673	181	1	the	the	DET
ap-7673	181	2	other	other	ADJ
ap-7673	181	3	two	two	NUM
ap-7673	181	4	components	component	NOUN
ap-7673	181	5	can	can	AUX
ap-7673	181	6	be	be	AUX
ap-7673	181	7	found	find	VERB
ap-7673	181	8	through	through	ADP
ap-7673	181	9	the	the	DET
ap-7673	181	10	equation	equation	NOUN
ap-7673	181	11	w1j	w1j	PROPN
ap-7673	181	12	=	=	SYM
ap-7673	181	13	v0	v0	PROPN
ap-7673	181	14	λ̃j	λ̃j	X
ap-7673	181	15	(	(	PUNCT
ap-7673	181	16	−w′	−w′	NOUN
ap-7673	181	17	2j	2j	NOUN
ap-7673	181	18	+	+	CCONJ
ap-7673	181	19	krw2j	krw2j	PROPN
ap-7673	181	20	)	)	PUNCT
ap-7673	181	21	,	,	PUNCT
ap-7673	181	22	j	j	PROPN
ap-7673	181	23	=	=	SYM
ap-7673	181	24	1	1	NUM
ap-7673	181	25	,	,	PUNCT
ap-7673	181	26	2	2	NUM
ap-7673	181	27	.	.	PUNCT
ap-7673	182	1	(	(	PUNCT
ap-7673	182	2	45	45	NUM
ap-7673	182	3	)	)	PUNCT
ap-7673	182	4	the	the	DET
ap-7673	182	5	potential	potential	ADJ
ap-7673	182	6	v2	v2	NOUN
ap-7673	182	7	can	can	AUX
ap-7673	182	8	be	be	AUX
ap-7673	182	9	calculated	calculate	VERB
ap-7673	182	10	from	from	ADP
ap-7673	182	11	(	(	PUNCT
ap-7673	182	12	33	33	NUM
ap-7673	182	13	)	)	PUNCT
ap-7673	182	14	,	,	PUNCT
ap-7673	182	15	v2	v2	PROPN
ap-7673	182	16	=	=	PUNCT
ap-7673	182	17	v1+σ1k2(s)+iσ3γ2(s	v1+σ1k2(s)+iσ3γ2(s	NOUN
ap-7673	182	18	)	)	PUNCT
ap-7673	182	19	=	=	SYM
ap-7673	182	20	v0+σ1k2+iσ3(γ+γ2	v0+σ1k2+iσ3(γ+γ2	PROPN
ap-7673	182	21	)	)	PUNCT
ap-7673	182	22	.	.	PUNCT
ap-7673	183	1	the	the	DET
ap-7673	183	2	functions	function	NOUN
ap-7673	183	3	v0kr	v0kr	X
ap-7673	183	4	+	+	CCONJ
ap-7673	183	5	k2(s	k2(s	NOUN
ap-7673	183	6	)	)	PUNCT
ap-7673	183	7	and	and	CCONJ
ap-7673	183	8	γ(s	γ(	NOUN
ap-7673	183	9	)	)	PUNCT
ap-7673	184	1	+	+	PUNCT
ap-7673	184	2	γ2(s	γ2(s	NOUN
ap-7673	184	3	)	)	PUNCT
ap-7673	184	4	are	be	AUX
ap-7673	184	5	shown	show	VERB
ap-7673	184	6	in	in	ADP
ap-7673	184	7	figure	figure	NOUN
ap-7673	184	8	4	4	NUM
ap-7673	184	9	.	.	PUNCT
ap-7673	185	1	it	it	PRON
ap-7673	185	2	is	be	AUX
ap-7673	185	3	important	important	ADJ
ap-7673	185	4	to	to	PART
ap-7673	185	5	highlight	highlight	VERB
ap-7673	185	6	that	that	SCONJ
ap-7673	185	7	the	the	DET
ap-7673	185	8	gain	gain	NOUN
ap-7673	185	9	/	/	SYM
ap-7673	185	10	loss	loss	NOUN
ap-7673	185	11	term	term	NOUN
ap-7673	185	12	remains	remain	VERB
ap-7673	185	13	a	a	DET
ap-7673	185	14	pure	pure	ADJ
ap-7673	185	15	imaginary	imaginary	ADJ
ap-7673	185	16	quantity	quantity	NOUN
ap-7673	185	17	.	.	PUNCT
ap-7673	186	1	27	27	NUM
ap-7673	186	2	m.	m.	NOUN
ap-7673	186	3	castillo	castillo	PROPN
ap-7673	186	4	-	-	PUNCT
ap-7673	186	5	celeita	celeita	PROPN
ap-7673	186	6	,	,	PUNCT
ap-7673	186	7	a.	a.	PROPN
ap-7673	186	8	contreras	contreras	PROPN
ap-7673	186	9	-	-	PUNCT
ap-7673	186	10	astorga	astorga	PROPN
ap-7673	186	11	,	,	PUNCT
ap-7673	186	12	d.	d.	PROPN
ap-7673	186	13	j.	j.	PROPN
ap-7673	186	14	fernández	fernández	PROPN
ap-7673	186	15	c.	c.	PROPN
ap-7673	186	16	acta	acta	PROPN
ap-7673	186	17	polytechnica	polytechnica	PROPN
ap-7673	186	18	(	(	PUNCT
ap-7673	186	19	a	a	NOUN
ap-7673	186	20	)	)	PUNCT
ap-7673	186	21	.	.	PUNCT
ap-7673	187	1	(	(	PUNCT
ap-7673	187	2	b	b	X
ap-7673	187	3	)	)	PUNCT
ap-7673	187	4	.	.	PUNCT
ap-7673	188	1	figure	figure	NOUN
ap-7673	188	2	5	5	NUM
ap-7673	188	3	.	.	PUNCT
ap-7673	189	1	(	(	PUNCT
ap-7673	189	2	a	a	X
ap-7673	189	3	)	)	PUNCT
ap-7673	189	4	intensity	intensity	NOUN
ap-7673	189	5	of	of	ADP
ap-7673	189	6	the	the	DET
ap-7673	189	7	superposition	superposition	NOUN
ap-7673	189	8	|φ̄(s	|φ̄(s	NOUN
ap-7673	189	9	,	,	PUNCT
ap-7673	189	10	z)|2	z)|2	NOUN
ap-7673	189	11	propagating	propagate	VERB
ap-7673	189	12	in	in	ADP
ap-7673	189	13	the	the	DET
ap-7673	189	14	z	z	NOUN
ap-7673	189	15	-	-	PUNCT
ap-7673	189	16	axis	axis	NOUN
ap-7673	189	17	.	.	PUNCT
ap-7673	190	1	(	(	PUNCT
ap-7673	190	2	b	b	X
ap-7673	190	3	)	)	PUNCT
ap-7673	190	4	intensity	intensity	NOUN
ap-7673	190	5	of	of	ADP
ap-7673	190	6	the	the	DET
ap-7673	190	7	superposition	superposition	NOUN
ap-7673	190	8	|ψ̄(y	|ψ̄(y	ADP
ap-7673	190	9	,	,	PUNCT
ap-7673	190	10	z)|2	z)|2	NOUN
ap-7673	190	11	.	.	PUNCT
ap-7673	191	1	the	the	DET
ap-7673	191	2	values	value	NOUN
ap-7673	191	3	of	of	ADP
ap-7673	191	4	the	the	DET
ap-7673	191	5	parameters	parameter	NOUN
ap-7673	191	6	taken	take	VERB
ap-7673	191	7	are	be	AUX
ap-7673	191	8	ϵ	ϵ	X
ap-7673	191	9	=	=	SYM
ap-7673	191	10	1.5	1.5	NUM
ap-7673	191	11	,	,	PUNCT
ap-7673	191	12	ϵ1	ϵ1	NOUN
ap-7673	191	13	=	=	SYM
ap-7673	191	14	2.0	2.0	NUM
ap-7673	191	15	,	,	PUNCT
ap-7673	191	16	kr	kr	PROPN
ap-7673	191	17	=	=	SYM
ap-7673	191	18	π	π	PROPN
ap-7673	191	19	,	,	PUNCT
ap-7673	191	20	γ	γ	X
ap-7673	191	21	=	=	SYM
ap-7673	191	22	0	0	PROPN
ap-7673	191	23	,	,	PUNCT
ap-7673	191	24	β	β	X
ap-7673	191	25	=	=	NUM
ap-7673	191	26	0.8	0.8	NUM
ap-7673	191	27	,	,	PUNCT
ap-7673	191	28	a	a	DET
ap-7673	191	29	=	=	SYM
ap-7673	191	30	1.0	1.0	NUM
ap-7673	191	31	,	,	PUNCT
ap-7673	191	32	v0	v0	NOUN
ap-7673	191	33	=	=	SYM
ap-7673	191	34	1.0	1.0	NUM
ap-7673	191	35	.	.	PUNCT
ap-7673	192	1	the	the	DET
ap-7673	192	2	second	second	ADJ
ap-7673	192	3	matrix	matrix	NOUN
ap-7673	192	4	susy	susy	PROPN
ap-7673	192	5	-	-	PUNCT
ap-7673	192	6	qm	qm	PROPN
ap-7673	192	7	step	step	NOUN
ap-7673	192	8	introduces	introduce	VERB
ap-7673	192	9	two	two	NUM
ap-7673	192	10	new	new	ADJ
ap-7673	192	11	sets	set	NOUN
ap-7673	192	12	of	of	ADP
ap-7673	192	13	eigenmodes	eigenmode	NOUN
ap-7673	192	14	.	.	PUNCT
ap-7673	193	1	they	they	PRON
ap-7673	193	2	can	can	AUX
ap-7673	193	3	be	be	AUX
ap-7673	193	4	extracted	extract	VERB
ap-7673	193	5	from	from	ADP
ap-7673	193	6	the	the	DET
ap-7673	193	7	columns	column	NOUN
ap-7673	193	8	of	of	ADP
ap-7673	193	9	the	the	DET
ap-7673	193	10	matrix	matrix	NOUN
ap-7673	193	11	(	(	PUNCT
ap-7673	193	12	ut	ut	PROPN
ap-7673	193	13	2	2	NUM
ap-7673	193	14	)	)	PUNCT
ap-7673	193	15	−1	−1	NOUN
ap-7673	194	1	=	=	PUNCT
ap-7673	194	2	(	(	PUNCT
ap-7673	194	3	χϵ1	χϵ1	NOUN
ap-7673	194	4	,	,	PUNCT
ap-7673	194	5	χ−ϵ1	χ−ϵ1	NOUN
ap-7673	194	6	)	)	PUNCT
ap-7673	194	7	.	.	PUNCT
ap-7673	195	1	the	the	DET
ap-7673	195	2	eigenmodes	eigenmode	NOUN
ap-7673	195	3	added	add	VERB
ap-7673	195	4	in	in	ADP
ap-7673	195	5	the	the	DET
ap-7673	195	6	first	first	ADJ
ap-7673	195	7	step	step	NOUN
ap-7673	195	8	are	be	AUX
ap-7673	195	9	mapped	map	VERB
ap-7673	195	10	as	as	ADP
ap-7673	195	11	χ±ϵ	χ±ϵ	PROPN
ap-7673	195	12	=	=	SYM
ap-7673	195	13	l2φ±ϵ.	l2φ±ϵ.	NOUN
ap-7673	195	14	similar	similar	ADJ
ap-7673	195	15	to	to	ADP
ap-7673	195	16	the	the	DET
ap-7673	195	17	previous	previous	ADJ
ap-7673	195	18	example	example	NOUN
ap-7673	195	19	,	,	PUNCT
ap-7673	195	20	it	it	PRON
ap-7673	195	21	is	be	AUX
ap-7673	195	22	possible	possible	ADJ
ap-7673	195	23	to	to	PART
ap-7673	195	24	perform	perform	VERB
ap-7673	195	25	the	the	DET
ap-7673	195	26	gauge	gauge	ADJ
ap-7673	195	27	transformation	transformation	NOUN
ap-7673	195	28	(	(	PUNCT
ap-7673	195	29	20)(22	20)(22	NUM
ap-7673	195	30	)	)	PUNCT
ap-7673	195	31	.	.	PUNCT
ap-7673	196	1	then	then	ADV
ap-7673	196	2	,	,	PUNCT
ap-7673	196	3	in	in	ADP
ap-7673	196	4	the	the	DET
ap-7673	196	5	system	system	NOUN
ap-7673	196	6	under	under	ADP
ap-7673	196	7	strain	strain	NOUN
ap-7673	196	8	,	,	PUNCT
ap-7673	196	9	the	the	DET
ap-7673	196	10	modes	mode	NOUN
ap-7673	196	11	become	become	VERB
ap-7673	196	12	ψ±ϵ1(x	ψ±ϵ1(x	PROPN
ap-7673	196	13	,	,	PUNCT
ap-7673	196	14	y	y	NOUN
ap-7673	196	15	)	)	PUNCT
ap-7673	196	16	=	=	SYM
ap-7673	196	17	g−1(x	g−1(x	PROPN
ap-7673	196	18	,	,	PUNCT
ap-7673	196	19	y)χ±ϵ1(r(x	y)χ±ϵ1(r(x	PROPN
ap-7673	196	20	)	)	PUNCT
ap-7673	196	21	,	,	PUNCT
ap-7673	196	22	s(y	s(y	PROPN
ap-7673	196	23	)	)	PUNCT
ap-7673	196	24	)	)	PUNCT
ap-7673	196	25	,	,	PUNCT
ap-7673	196	26	ψ±ϵ(x	ψ±ϵ(x	PROPN
ap-7673	196	27	,	,	PUNCT
ap-7673	196	28	y	y	NOUN
ap-7673	196	29	)	)	PUNCT
ap-7673	196	30	=	=	SYM
ap-7673	196	31	g−1(x	g−1(x	PROPN
ap-7673	196	32	,	,	PUNCT
ap-7673	196	33	y)χ±ϵ(r(x	y)χ±ϵ(r(x	PROPN
ap-7673	196	34	)	)	PUNCT
ap-7673	196	35	,	,	PUNCT
ap-7673	196	36	s(y	s(y	PROPN
ap-7673	196	37	)	)	PUNCT
ap-7673	196	38	)	)	PUNCT
ap-7673	196	39	.	.	PUNCT
ap-7673	197	1	therefore	therefore	ADV
ap-7673	197	2	,	,	PUNCT
ap-7673	197	3	in	in	ADP
ap-7673	197	4	this	this	DET
ap-7673	197	5	new	new	ADJ
ap-7673	197	6	optical	optical	ADJ
ap-7673	197	7	system	system	NOUN
ap-7673	197	8	,	,	PUNCT
ap-7673	197	9	two	two	NUM
ap-7673	197	10	guided	guide	VERB
ap-7673	197	11	modes	mode	NOUN
ap-7673	197	12	are	be	AUX
ap-7673	197	13	created	create	VERB
ap-7673	197	14	in	in	ADP
ap-7673	197	15	the	the	DET
ap-7673	197	16	upper	upper	ADJ
ap-7673	197	17	dirac	dirac	NOUN
ap-7673	197	18	cone	cone	NOUN
ap-7673	197	19	and	and	CCONJ
ap-7673	197	20	two	two	NUM
ap-7673	197	21	more	more	ADJ
ap-7673	197	22	in	in	ADP
ap-7673	197	23	the	the	DET
ap-7673	197	24	bottom	bottom	ADJ
ap-7673	197	25	dirac	dirac	NOUN
ap-7673	197	26	cone	cone	NOUN
ap-7673	197	27	.	.	PUNCT
ap-7673	198	1	finally	finally	ADV
ap-7673	198	2	,	,	PUNCT
ap-7673	198	3	let	let	VERB
ap-7673	198	4	us	we	PRON
ap-7673	198	5	mention	mention	VERB
ap-7673	198	6	that	that	SCONJ
ap-7673	198	7	we	we	PRON
ap-7673	198	8	can	can	AUX
ap-7673	198	9	have	have	VERB
ap-7673	198	10	superpositions	superposition	NOUN
ap-7673	198	11	of	of	ADP
ap-7673	198	12	the	the	DET
ap-7673	198	13	introduced	introduce	VERB
ap-7673	198	14	modes	mode	NOUN
ap-7673	198	15	and	and	CCONJ
ap-7673	198	16	let	let	VERB
ap-7673	198	17	them	they	PRON
ap-7673	198	18	propagate	propagate	VERB
ap-7673	198	19	along	along	ADP
ap-7673	198	20	the	the	DET
ap-7673	198	21	z	z	NOUN
ap-7673	198	22	-	-	PUNCT
ap-7673	198	23	axis	axis	NOUN
ap-7673	198	24	inside	inside	ADP
ap-7673	198	25	the	the	DET
ap-7673	198	26	photonic	photonic	ADJ
ap-7673	198	27	graphene	graphene	NOUN
ap-7673	198	28	.	.	PUNCT
ap-7673	199	1	for	for	ADP
ap-7673	199	2	example	example	NOUN
ap-7673	199	3	,	,	PUNCT
ap-7673	199	4	in	in	ADP
ap-7673	199	5	the	the	DET
ap-7673	199	6	flat	flat	ADJ
ap-7673	199	7	fermi	fermi	NOUN
ap-7673	199	8	velocity	velocity	NOUN
ap-7673	199	9	system	system	NOUN
ap-7673	199	10	(	(	PUNCT
ap-7673	199	11	before	before	ADP
ap-7673	199	12	the	the	DET
ap-7673	199	13	gauge	gauge	ADJ
ap-7673	199	14	transformation	transformation	NOUN
ap-7673	199	15	)	)	PUNCT
ap-7673	199	16	,	,	PUNCT
ap-7673	199	17	φ̄(s	φ̄(s	PROPN
ap-7673	199	18	,	,	PUNCT
ap-7673	199	19	z	z	NOUN
ap-7673	199	20	)	)	PUNCT
ap-7673	199	21	=	=	SYM
ap-7673	199	22	a1e	a1e	ADP
ap-7673	199	23	−iϵzφϵ(s	−iϵzφϵ(s	PROPN
ap-7673	199	24	)	)	PUNCT
ap-7673	199	25	+	+	ADJ
ap-7673	199	26	a2e	a2e	X
ap-7673	199	27	−iϵ1zφϵ1(s	−iϵ1zφϵ1(s	PROPN
ap-7673	199	28	)	)	PUNCT
ap-7673	199	29	,	,	PUNCT
ap-7673	199	30	(	(	PUNCT
ap-7673	199	31	46	46	NUM
ap-7673	199	32	)	)	PUNCT
ap-7673	199	33	becomes	become	VERB
ap-7673	199	34	ψ̄(y	ψ̄(y	ADP
ap-7673	199	35	,	,	PUNCT
ap-7673	199	36	z	z	NOUN
ap-7673	199	37	)	)	PUNCT
ap-7673	199	38	=	=	PUNCT
ap-7673	200	1	a1e	a1e	ADP
ap-7673	200	2	−iϵzψϵ(y	−iϵzψϵ(y	NOUN
ap-7673	200	3	)	)	PUNCT
ap-7673	201	1	+	+	ADJ
ap-7673	201	2	a2e	a2e	PROPN
ap-7673	201	3	−iϵ1zψϵ1(y	−iϵ1zψϵ1(y	PROPN
ap-7673	201	4	)	)	PUNCT
ap-7673	201	5	,	,	PUNCT
ap-7673	201	6	(	(	PUNCT
ap-7673	201	7	47	47	NUM
ap-7673	201	8	)	)	PUNCT
ap-7673	201	9	in	in	ADP
ap-7673	201	10	the	the	DET
ap-7673	201	11	photonic	photonic	ADJ
ap-7673	201	12	graphene	graphene	NOUN
ap-7673	201	13	system	system	NOUN
ap-7673	201	14	under	under	ADP
ap-7673	201	15	strain	strain	NOUN
ap-7673	201	16	with	with	ADP
ap-7673	201	17	the	the	DET
ap-7673	201	18	position	position	NOUN
ap-7673	201	19	dependent	dependent	ADJ
ap-7673	201	20	gain	gain	NOUN
ap-7673	201	21	/	/	SYM
ap-7673	201	22	loss	loss	NOUN
ap-7673	201	23	balance	balance	NOUN
ap-7673	201	24	.	.	PUNCT
ap-7673	202	1	figure	figure	NOUN
ap-7673	202	2	5a	5a	NUM
ap-7673	202	3	shows	show	VERB
ap-7673	202	4	the	the	DET
ap-7673	202	5	propagation	propagation	NOUN
ap-7673	202	6	along	along	ADP
ap-7673	202	7	z	z	NOUN
ap-7673	202	8	-	-	PUNCT
ap-7673	202	9	axis	axis	NOUN
ap-7673	202	10	of	of	ADP
ap-7673	202	11	the	the	DET
ap-7673	202	12	intensity	intensity	NOUN
ap-7673	202	13	|φ̄(s	|φ̄(s	NOUN
ap-7673	202	14	,	,	PUNCT
ap-7673	202	15	z)|2	z)|2	ADJ
ap-7673	202	16	,	,	PUNCT
ap-7673	202	17	while	while	SCONJ
ap-7673	202	18	figure	figure	NOUN
ap-7673	202	19	5b	5b	NUM
ap-7673	202	20	shows	show	VERB
ap-7673	202	21	|ψ̄(s	|ψ̄(s	NUM
ap-7673	202	22	,	,	PUNCT
ap-7673	202	23	z)|2	z)|2	NOUN
ap-7673	202	24	.	.	PUNCT
ap-7673	203	1	5	5	NUM
ap-7673	203	2	.	.	X
ap-7673	203	3	summary	summary	NOUN
ap-7673	203	4	this	this	DET
ap-7673	203	5	article	article	NOUN
ap-7673	203	6	shows	show	VERB
ap-7673	203	7	a	a	DET
ap-7673	203	8	natural	natural	ADJ
ap-7673	203	9	way	way	NOUN
ap-7673	203	10	to	to	PART
ap-7673	203	11	construct	construct	VERB
ap-7673	203	12	hamiltonians	hamiltonian	NOUN
ap-7673	203	13	associated	associate	VERB
ap-7673	203	14	with	with	ADP
ap-7673	203	15	a	a	DET
ap-7673	203	16	photonic	photonic	ADJ
ap-7673	203	17	graphene	graphene	NOUN
ap-7673	203	18	under	under	ADP
ap-7673	203	19	strain	strain	NOUN
ap-7673	203	20	with	with	ADP
ap-7673	203	21	a	a	DET
ap-7673	203	22	position	position	NOUN
ap-7673	203	23	-	-	PUNCT
ap-7673	203	24	dependent	dependent	ADJ
ap-7673	203	25	gain	gain	NOUN
ap-7673	203	26	/	/	SYM
ap-7673	203	27	loss	loss	NOUN
ap-7673	203	28	balance	balance	NOUN
ap-7673	203	29	.	.	PUNCT
ap-7673	204	1	the	the	DET
ap-7673	204	2	main	main	ADJ
ap-7673	204	3	tools	tool	NOUN
ap-7673	204	4	that	that	PRON
ap-7673	204	5	we	we	PRON
ap-7673	204	6	use	use	VERB
ap-7673	204	7	are	be	AUX
ap-7673	204	8	a	a	DET
ap-7673	204	9	matrix	matrix	NOUN
ap-7673	204	10	approach	approach	NOUN
ap-7673	204	11	to	to	ADP
ap-7673	204	12	supersymmetric	supersymmetric	ADJ
ap-7673	204	13	quantum	quantum	ADJ
ap-7673	204	14	mechanics	mechanic	NOUN
ap-7673	204	15	and	and	CCONJ
ap-7673	204	16	a	a	DET
ap-7673	204	17	gauge	gauge	ADJ
ap-7673	204	18	transformation	transformation	NOUN
ap-7673	204	19	.	.	PUNCT
ap-7673	205	1	with	with	ADP
ap-7673	205	2	a	a	DET
ap-7673	205	3	correct	correct	ADJ
ap-7673	205	4	choice	choice	NOUN
ap-7673	205	5	of	of	ADP
ap-7673	205	6	a	a	DET
ap-7673	205	7	transformation	transformation	NOUN
ap-7673	205	8	matrix	matrix	NOUN
ap-7673	205	9	u	u	NOUN
ap-7673	205	10	,	,	PUNCT
ap-7673	205	11	it	it	PRON
ap-7673	205	12	is	be	AUX
ap-7673	205	13	possible	possible	ADJ
ap-7673	205	14	to	to	PART
ap-7673	205	15	add	add	VERB
ap-7673	205	16	a	a	DET
ap-7673	205	17	bound	bound	ADJ
ap-7673	205	18	state	state	NOUN
ap-7673	205	19	to	to	ADP
ap-7673	205	20	the	the	DET
ap-7673	205	21	free	free	ADJ
ap-7673	205	22	-	-	PUNCT
ap-7673	205	23	particle	particle	NOUN
ap-7673	205	24	hamiltonian	hamiltonian	NOUN
ap-7673	205	25	using	use	VERB
ap-7673	205	26	the	the	DET
ap-7673	205	27	matrix	matrix	NOUN
ap-7673	205	28	susy	susy	PROPN
ap-7673	205	29	-	-	PUNCT
ap-7673	205	30	qm	qm	PROPN
ap-7673	205	31	,	,	PUNCT
ap-7673	205	32	but	but	CCONJ
ap-7673	205	33	the	the	DET
ap-7673	205	34	dirac	dirac	NOUN
ap-7673	205	35	equation	equation	NOUN
ap-7673	205	36	will	will	AUX
ap-7673	205	37	have	have	VERB
ap-7673	205	38	two	two	NUM
ap-7673	205	39	new	new	ADJ
ap-7673	205	40	terms	term	NOUN
ap-7673	205	41	in	in	ADP
ap-7673	205	42	the	the	DET
ap-7673	205	43	potential	potential	ADJ
ap-7673	205	44	,	,	PUNCT
ap-7673	205	45	v1	v1	NOUN
ap-7673	205	46	=	=	SYM
ap-7673	205	47	v0	v0	NOUN
ap-7673	205	48	+	+	CCONJ
ap-7673	205	49	σ1k(s	σ1k(s	PROPN
ap-7673	205	50	)	)	PUNCT
ap-7673	206	1	−	−	ADP
ap-7673	206	2	iσ3γ(s	iσ3γ(	NOUN
ap-7673	206	3	)	)	PUNCT
ap-7673	206	4	.	.	PUNCT
ap-7673	207	1	the	the	DET
ap-7673	207	2	function	function	NOUN
ap-7673	207	3	k	k	PROPN
ap-7673	207	4	could	could	AUX
ap-7673	207	5	be	be	AUX
ap-7673	207	6	associated	associate	VERB
ap-7673	207	7	with	with	ADP
ap-7673	207	8	a	a	DET
ap-7673	207	9	magnetic	magnetic	ADJ
ap-7673	207	10	vector	vector	NOUN
ap-7673	207	11	potential	potential	NOUN
ap-7673	207	12	,	,	PUNCT
ap-7673	207	13	but	but	CCONJ
ap-7673	207	14	the	the	DET
ap-7673	207	15	function	function	NOUN
ap-7673	207	16	iγ	iγ	NOUN
ap-7673	207	17	is	be	AUX
ap-7673	207	18	related	relate	VERB
ap-7673	207	19	to	to	ADP
ap-7673	207	20	an	an	DET
ap-7673	207	21	imaginary	imaginary	ADJ
ap-7673	207	22	mass	mass	NOUN
ap-7673	207	23	term	term	NOUN
ap-7673	207	24	,	,	PUNCT
ap-7673	207	25	which	which	PRON
ap-7673	207	26	is	be	AUX
ap-7673	207	27	difficult	difficult	ADJ
ap-7673	207	28	to	to	PART
ap-7673	207	29	interpret	interpret	VERB
ap-7673	207	30	or	or	CCONJ
ap-7673	207	31	realize	realize	VERB
ap-7673	207	32	in	in	ADP
ap-7673	207	33	a	a	DET
ap-7673	207	34	solid	solid	ADJ
ap-7673	207	35	-	-	PUNCT
ap-7673	207	36	state	state	NOUN
ap-7673	207	37	graphene	graphene	NOUN
ap-7673	207	38	.	.	PUNCT
ap-7673	208	1	the	the	DET
ap-7673	208	2	gauge	gauge	ADJ
ap-7673	208	3	transformation	transformation	NOUN
ap-7673	208	4	g	g	PROPN
ap-7673	208	5	maps	map	NOUN
ap-7673	208	6	solutions	solution	NOUN
ap-7673	208	7	from	from	ADP
ap-7673	208	8	the	the	DET
ap-7673	208	9	flat	flat	ADJ
ap-7673	208	10	fermi	fermi	NOUN
ap-7673	208	11	velocity	velocity	NOUN
ap-7673	208	12	system	system	NOUN
ap-7673	208	13	of	of	ADP
ap-7673	208	14	the	the	DET
ap-7673	208	15	previous	previous	ADJ
ap-7673	208	16	step	step	NOUN
ap-7673	208	17	to	to	ADP
ap-7673	208	18	a	a	DET
ap-7673	208	19	graphene	graphene	ADJ
ap-7673	208	20	system	system	NOUN
ap-7673	208	21	under	under	ADP
ap-7673	208	22	strain	strain	NOUN
ap-7673	208	23	.	.	PUNCT
ap-7673	209	1	at	at	ADP
ap-7673	209	2	this	this	DET
ap-7673	209	3	point	point	NOUN
ap-7673	209	4	,	,	PUNCT
ap-7673	209	5	it	it	PRON
ap-7673	209	6	becomes	become	VERB
ap-7673	209	7	relevant	relevant	ADJ
ap-7673	209	8	to	to	PART
ap-7673	209	9	work	work	VERB
ap-7673	209	10	with	with	ADP
ap-7673	209	11	the	the	DET
ap-7673	209	12	photonic	photonic	ADJ
ap-7673	209	13	graphene	graphene	NOUN
ap-7673	209	14	.	.	PUNCT
ap-7673	210	1	the	the	DET
ap-7673	210	2	magnetic	magnetic	ADJ
ap-7673	210	3	vector	vector	NOUN
ap-7673	210	4	potential	potential	NOUN
ap-7673	210	5	translates	translate	VERB
ap-7673	210	6	into	into	ADP
ap-7673	210	7	deformations	deformation	NOUN
ap-7673	210	8	of	of	ADP
ap-7673	210	9	the	the	DET
ap-7673	210	10	lattice	lattice	NOUN
ap-7673	210	11	of	of	ADP
ap-7673	210	12	optical	optical	ADJ
ap-7673	210	13	fibers	fiber	NOUN
ap-7673	210	14	,	,	PUNCT
ap-7673	210	15	while	while	SCONJ
ap-7673	210	16	the	the	DET
ap-7673	210	17	iγ	iγ	NOUN
ap-7673	210	18	function	function	NOUN
ap-7673	210	19	indicates	indicate	VERB
ap-7673	210	20	the	the	DET
ap-7673	210	21	gain	gain	NOUN
ap-7673	210	22	/	/	SYM
ap-7673	210	23	loss	loss	NOUN
ap-7673	210	24	of	of	ADP
ap-7673	210	25	the	the	DET
ap-7673	210	26	fibers	fiber	NOUN
ap-7673	210	27	in	in	ADP
ap-7673	210	28	the	the	DET
ap-7673	210	29	sublattice	sublattice	NOUN
ap-7673	210	30	a	a	PROPN
ap-7673	210	31	/	/	SYM
ap-7673	210	32	b.	b.	NOUN
ap-7673	210	33	we	we	PRON
ap-7673	210	34	end	end	VERB
ap-7673	210	35	with	with	ADP
ap-7673	210	36	the	the	DET
ap-7673	210	37	hamiltonian	hamiltonian	NOUN
ap-7673	210	38	of	of	ADP
ap-7673	210	39	photonic	photonic	ADJ
ap-7673	210	40	graphene	graphene	NOUN
ap-7673	210	41	with	with	ADP
ap-7673	210	42	a	a	DET
ap-7673	210	43	single	single	ADJ
ap-7673	210	44	mode	mode	NOUN
ap-7673	210	45	.	.	PUNCT
ap-7673	211	1	this	this	DET
ap-7673	211	2	mode	mode	NOUN
ap-7673	211	3	is	be	AUX
ap-7673	211	4	confined	confine	VERB
ap-7673	211	5	by	by	ADP
ap-7673	211	6	the	the	DET
ap-7673	211	7	strain	strain	NOUN
ap-7673	211	8	and	and	CCONJ
ap-7673	211	9	the	the	DET
ap-7673	211	10	positiondependent	positiondependent	ADJ
ap-7673	211	11	gain	gain	NOUN
ap-7673	211	12	/	/	SYM
ap-7673	211	13	loss	loss	NOUN
ap-7673	211	14	balance	balance	NOUN
ap-7673	211	15	.	.	PUNCT
ap-7673	212	1	finally	finally	ADV
ap-7673	212	2	,	,	PUNCT
ap-7673	212	3	we	we	PRON
ap-7673	212	4	show	show	VERB
ap-7673	212	5	that	that	SCONJ
ap-7673	212	6	the	the	DET
ap-7673	212	7	technique	technique	NOUN
ap-7673	212	8	can	can	AUX
ap-7673	212	9	be	be	AUX
ap-7673	212	10	iterated	iterate	VERB
ap-7673	212	11	,	,	PUNCT
ap-7673	212	12	to	to	PART
ap-7673	212	13	have	have	VERB
ap-7673	212	14	two	two	NUM
ap-7673	212	15	or	or	CCONJ
ap-7673	212	16	more	more	ADJ
ap-7673	212	17	modes	mode	NOUN
ap-7673	212	18	in	in	ADP
ap-7673	212	19	the	the	DET
ap-7673	212	20	photonic	photonic	ADJ
ap-7673	212	21	graphene	graphene	NOUN
ap-7673	212	22	.	.	PUNCT
ap-7673	213	1	acknowledgements	acknowledgement	NOUN
ap-7673	213	2	the	the	DET
ap-7673	213	3	authors	author	NOUN
ap-7673	213	4	acknowledge	acknowledge	VERB
ap-7673	213	5	the	the	DET
ap-7673	213	6	support	support	NOUN
ap-7673	213	7	of	of	ADP
ap-7673	213	8	conacyt	conacyt	NOUN
ap-7673	213	9	,	,	PUNCT
ap-7673	213	10	grant	grant	VERB
ap-7673	213	11	fordecyt	fordecyt	PROPN
ap-7673	213	12	-	-	PUNCT
ap-7673	213	13	pronaces/61533/2020	pronaces/61533/2020	PROPN
ap-7673	213	14	.	.	PUNCT
ap-7673	214	1	m.	m.	NOUN
ap-7673	214	2	c	c	PROPN
ap-7673	214	3	-	-	PUNCT
ap-7673	214	4	c.	c.	PROPN
ap-7673	214	5	acknowledges	acknowledge	VERB
ap-7673	214	6	as	as	ADV
ap-7673	214	7	well	well	ADV
ap-7673	214	8	the	the	DET
ap-7673	214	9	conacyt	conacyt	ADJ
ap-7673	214	10	fellowship	fellowship	NOUN
ap-7673	214	11	301117	301117	NUM
ap-7673	214	12	.	.	PUNCT
ap-7673	215	1	references	reference	NOUN
ap-7673	215	2	[	[	X
ap-7673	215	3	1	1	NUM
ap-7673	215	4	]	]	PUNCT
ap-7673	215	5	k.	k.	PROPN
ap-7673	215	6	s.	s.	PROPN
ap-7673	215	7	novoselov	novoselov	PROPN
ap-7673	215	8	,	,	PUNCT
ap-7673	215	9	a.	a.	PROPN
ap-7673	215	10	k.	k.	PROPN
ap-7673	215	11	geim	geim	PROPN
ap-7673	215	12	,	,	PUNCT
ap-7673	215	13	s.	s.	PROPN
ap-7673	215	14	v.	v.	PROPN
ap-7673	215	15	morozov	morozov	PROPN
ap-7673	215	16	,	,	PUNCT
ap-7673	215	17	et	et	PROPN
ap-7673	215	18	al	al	PROPN
ap-7673	215	19	.	.	PROPN
ap-7673	215	20	electric	electric	ADJ
ap-7673	215	21	field	field	NOUN
ap-7673	215	22	effect	effect	NOUN
ap-7673	215	23	in	in	ADP
ap-7673	215	24	atomically	atomically	ADV
ap-7673	215	25	thin	thin	ADJ
ap-7673	215	26	carbon	carbon	NOUN
ap-7673	215	27	films	film	NOUN
ap-7673	215	28	.	.	PUNCT
ap-7673	216	1	science	science	NOUN
ap-7673	216	2	306(5696):666–669	306(5696):666–669	NUM
ap-7673	216	3	,	,	PUNCT
ap-7673	216	4	2004	2004	NUM
ap-7673	216	5	.	.	PUNCT
ap-7673	217	1	https://doi.org/10.1126/science.1102896	https://doi.org/10.1126/science.1102896	NOUN
ap-7673	217	2	.	.	PUNCT
ap-7673	218	1	[	[	X
ap-7673	218	2	2	2	NUM
ap-7673	218	3	]	]	X
ap-7673	218	4	r.	r.	PROPN
ap-7673	218	5	c.	c.	PROPN
ap-7673	218	6	andrew	andrew	PROPN
ap-7673	218	7	,	,	PUNCT
ap-7673	218	8	r.	r.	PROPN
ap-7673	218	9	e.	e.	PROPN
ap-7673	218	10	mapasha	mapasha	PROPN
ap-7673	218	11	,	,	PUNCT
ap-7673	218	12	a.	a.	PROPN
ap-7673	218	13	m.	m.	PROPN
ap-7673	218	14	ukpong	ukpong	PROPN
ap-7673	218	15	,	,	PUNCT
ap-7673	218	16	n.	n.	PROPN
ap-7673	218	17	chetty	chetty	PROPN
ap-7673	218	18	.	.	PUNCT
ap-7673	219	1	mechanical	mechanical	ADJ
ap-7673	219	2	properties	property	NOUN
ap-7673	219	3	of	of	ADP
ap-7673	219	4	graphene	graphene	NOUN
ap-7673	219	5	and	and	CCONJ
ap-7673	219	6	boronitrene	boronitrene	NOUN
ap-7673	219	7	.	.	PUNCT
ap-7673	220	1	physical	physical	PROPN
ap-7673	220	2	review	review	PROPN
ap-7673	220	3	b	b	PROPN
ap-7673	220	4	85(12):125428	85(12):125428	NUM
ap-7673	220	5	,	,	PUNCT
ap-7673	220	6	2012	2012	NUM
ap-7673	220	7	.	.	PUNCT
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ap-7673	221	2	.	.	PUNCT
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ap-7673	222	2	3	3	NUM
ap-7673	222	3	]	]	PUNCT
ap-7673	222	4	s.-e	s.-e	NOUN
ap-7673	222	5	.	.	PUNCT
ap-7673	223	1	zhu	zhu	PROPN
ap-7673	223	2	,	,	PUNCT
ap-7673	223	3	s.	s.	PROPN
ap-7673	223	4	yuan	yuan	PROPN
ap-7673	223	5	,	,	PUNCT
ap-7673	223	6	g.	g.	PROPN
ap-7673	223	7	c.	c.	PROPN
ap-7673	223	8	a.	a.	PROPN
ap-7673	223	9	m.	m.	PROPN
ap-7673	223	10	janssen	janssen	PROPN
ap-7673	223	11	.	.	PUNCT
ap-7673	224	1	optical	optical	ADJ
ap-7673	224	2	transmittance	transmittance	NOUN
ap-7673	224	3	of	of	ADP
ap-7673	224	4	multilayer	multilayer	ADJ
ap-7673	224	5	graphene	graphene	NOUN
ap-7673	224	6	.	.	PUNCT
ap-7673	225	1	epl	epl	PROPN
ap-7673	225	2	(	(	PUNCT
ap-7673	225	3	europhysics	europhysics	PRON
ap-7673	225	4	letters	letter	NOUN
ap-7673	225	5	)	)	PUNCT
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ap-7673	225	7	,	,	PUNCT
ap-7673	225	8	2014	2014	NUM
ap-7673	225	9	.	.	PUNCT
ap-7673	226	1	https://doi.org/10.1209/0295-5075/108/17007	https://doi.org/10.1209/0295-5075/108/17007	NOUN
ap-7673	226	2	.	.	PUNCT
ap-7673	227	1	[	[	X
ap-7673	227	2	4	4	NUM
ap-7673	227	3	]	]	PUNCT
ap-7673	227	4	a.	a.	PROPN
ap-7673	227	5	k.	k.	PROPN
ap-7673	227	6	geim	geim	PROPN
ap-7673	227	7	,	,	PUNCT
ap-7673	227	8	k.	k.	PROPN
ap-7673	227	9	s.	s.	PROPN
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ap-7673	227	11	.	.	PUNCT
ap-7673	228	1	the	the	DET
ap-7673	228	2	rise	rise	NOUN
ap-7673	228	3	of	of	ADP
ap-7673	228	4	graphene	graphene	NOUN
ap-7673	228	5	.	.	PUNCT
ap-7673	229	1	in	in	ADP
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ap-7673	229	5	:	:	PUNCT
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ap-7673	229	10	from	from	ADP
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ap-7673	229	12	journals	journal	NOUN
ap-7673	229	13	,	,	PUNCT
ap-7673	229	14	pp	pp	ADJ
ap-7673	229	15	.	.	PUNCT
ap-7673	229	16	11–19	11–19	NUM
ap-7673	229	17	.	.	PUNCT
ap-7673	229	18	2009	2009	NUM
ap-7673	229	19	.	.	PUNCT
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ap-7673	229	21	.	.	PUNCT
ap-7673	230	1	[	[	X
ap-7673	230	2	5	5	NUM
ap-7673	230	3	]	]	SYM
ap-7673	230	4	ş	ş	PROPN
ap-7673	230	5	.	.	PUNCT
ap-7673	230	6	kuru	kuru	PROPN
ap-7673	230	7	,	,	PUNCT
ap-7673	230	8	j.	j.	PROPN
ap-7673	230	9	negro	negro	PROPN
ap-7673	230	10	,	,	PUNCT
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ap-7673	230	12	m.	m.	PROPN
ap-7673	230	13	nieto	nieto	PROPN
ap-7673	230	14	.	.	PUNCT
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ap-7673	231	2	analytic	analytic	ADJ
ap-7673	231	3	solutions	solution	NOUN
ap-7673	231	4	for	for	ADP
ap-7673	231	5	a	a	DET
ap-7673	231	6	dirac	dirac	NOUN
ap-7673	231	7	electron	electron	NOUN
ap-7673	231	8	moving	move	VERB
ap-7673	231	9	in	in	ADP
ap-7673	231	10	graphene	graphene	NOUN
ap-7673	231	11	under	under	ADP
ap-7673	231	12	magnetic	magnetic	ADJ
ap-7673	231	13	fields	field	NOUN
ap-7673	231	14	.	.	PUNCT
ap-7673	232	1	journal	journal	PROPN
ap-7673	232	2	of	of	ADP
ap-7673	232	3	physics	physics	PROPN
ap-7673	232	4	:	:	PUNCT
ap-7673	232	5	condensed	condense	VERB
ap-7673	232	6	matter	matter	NOUN
ap-7673	232	7	21(45):455305	21(45):455305	NUM
ap-7673	232	8	,	,	PUNCT
ap-7673	232	9	2009	2009	NUM
ap-7673	232	10	.	.	PUNCT
ap-7673	233	1	https://doi.org/10.1088/0953-8984/21/45/455305	https://doi.org/10.1088/0953-8984/21/45/455305	NOUN
ap-7673	233	2	.	.	PUNCT
ap-7673	234	1	28	28	NUM
ap-7673	234	2	https://doi.org/10.1126/science.1102896	https://doi.org/10.1126/science.1102896	NOUN
ap-7673	234	3	https://doi.org/10.1103/physrevb.85.125428	https://doi.org/10.1103/physrevb.85.125428	NOUN
ap-7673	234	4	https://doi.org/10.1209/0295-5075/108/17007	https://doi.org/10.1209/0295-5075/108/17007	VERB
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ap-7673	234	6	https://doi.org/10.1088/0953-8984/21/45/455305	https://doi.org/10.1088/0953-8984/21/45/455305	NOUN
ap-7673	234	7	vol	vol	NOUN
ap-7673	234	8	.	.	PUNCT
ap-7673	235	1	62	62	NUM
ap-7673	235	2	no	no	INTJ
ap-7673	235	3	.	.	PUNCT
ap-7673	236	1	1/2022	1/2022	NUM
ap-7673	236	2	photonic	photonic	ADJ
ap-7673	236	3	graphene	graphene	NOUN
ap-7673	236	4	under	under	ADP
ap-7673	236	5	strain	strain	NOUN
ap-7673	236	6	with	with	ADP
ap-7673	236	7	position	position	NOUN
ap-7673	236	8	-	-	PUNCT
ap-7673	236	9	dependent	dependent	ADJ
ap-7673	236	10	.	.	PUNCT
ap-7673	236	11	.	.	PUNCT
ap-7673	236	12	.	.	PUNCT
ap-7673	237	1	[	[	X
ap-7673	237	2	6	6	NUM
ap-7673	237	3	]	]	PUNCT
ap-7673	237	4	b.	b.	PROPN
ap-7673	237	5	midya	midya	PROPN
ap-7673	237	6	,	,	PUNCT
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ap-7673	237	8	j.	j.	PROPN
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ap-7673	237	10	c.	c.	PROPN
ap-7673	237	11	dirac	dirac	PROPN
ap-7673	237	12	electron	electron	NOUN
ap-7673	237	13	in	in	ADP
ap-7673	237	14	graphene	graphene	NOUN
ap-7673	237	15	under	under	ADP
ap-7673	237	16	supersymmetry	supersymmetry	NOUN
ap-7673	237	17	generated	generate	VERB
ap-7673	237	18	magnetic	magnetic	ADJ
ap-7673	237	19	fields	field	NOUN
ap-7673	237	20	.	.	PUNCT
ap-7673	238	1	journal	journal	PROPN
ap-7673	238	2	of	of	ADP
ap-7673	238	3	physics	physics	PROPN
ap-7673	238	4	a	a	PRON
ap-7673	238	5	:	:	PUNCT
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ap-7673	238	9	47(28):285302	47(28):285302	NUM
ap-7673	238	10	,	,	PUNCT
ap-7673	238	11	2014	2014	NUM
ap-7673	238	12	.	.	PUNCT
ap-7673	239	1	https://doi.org/10.1088/1751-8113/47/28/285302	https://doi.org/10.1088/1751-8113/47/28/285302	PROPN
ap-7673	239	2	.	.	PUNCT
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ap-7673	240	2	7	7	NUM
ap-7673	240	3	]	]	PUNCT
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ap-7673	240	8	,	,	PUNCT
ap-7673	240	9	a.	a.	PROPN
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ap-7673	240	11	-	-	PUNCT
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ap-7673	240	13	.	.	PUNCT
ap-7673	241	1	the	the	DET
ap-7673	241	2	confluent	confluent	ADJ
ap-7673	241	3	supersymmetry	supersymmetry	NOUN
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ap-7673	241	6	dirac	dirac	NOUN
ap-7673	241	7	equations	equation	NOUN
ap-7673	241	8	with	with	ADP
ap-7673	241	9	pseudoscalar	pseudoscalar	ADJ
ap-7673	241	10	potentials	potential	NOUN
ap-7673	241	11	.	.	PUNCT
ap-7673	242	1	journal	journal	PROPN
ap-7673	242	2	of	of	ADP
ap-7673	242	3	mathematical	mathematical	ADJ
ap-7673	242	4	physics	physics	PROPN
ap-7673	242	5	55(10):103506	55(10):103506	NUM
ap-7673	242	6	,	,	PUNCT
ap-7673	242	7	2014	2014	NUM
ap-7673	242	8	.	.	PUNCT
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ap-7673	243	2	.	.	PUNCT
ap-7673	244	1	[	[	X
ap-7673	244	2	8	8	NUM
ap-7673	244	3	]	]	PUNCT
ap-7673	244	4	m.	m.	NOUN
ap-7673	244	5	castillo	castillo	PROPN
ap-7673	244	6	-	-	PUNCT
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ap-7673	244	8	,	,	PUNCT
ap-7673	244	9	d.	d.	PROPN
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ap-7673	244	15	in	in	ADP
ap-7673	244	16	graphene	graphene	NOUN
ap-7673	244	17	with	with	ADP
ap-7673	244	18	magnetic	magnetic	ADJ
ap-7673	244	19	fields	field	NOUN
ap-7673	244	20	arising	arise	VERB
ap-7673	244	21	from	from	ADP
ap-7673	244	22	first	first	ADJ
ap-7673	244	23	-	-	PUNCT
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ap-7673	244	25	intertwining	intertwine	VERB
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ap-7673	245	3	physics	physics	PROPN
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ap-7673	245	5	:	:	PUNCT
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ap-7673	245	9	53(3):035302	53(3):035302	NUM
ap-7673	245	10	,	,	PUNCT
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ap-7673	245	12	.	.	PUNCT
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ap-7673	246	2	.	.	PUNCT
ap-7673	247	1	[	[	X
ap-7673	247	2	9	9	NUM
ap-7673	247	3	]	]	PUNCT
ap-7673	247	4	a.	a.	NOUN
ap-7673	247	5	contreras	contreras	PROPN
ap-7673	247	6	-	-	PUNCT
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ap-7673	247	8	,	,	PUNCT
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ap-7673	248	2	-	-	ADJ
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ap-7673	248	4	tunneling	tunneling	PROPN
ap-7673	248	5	of	of	ADP
ap-7673	248	6	dirac	dirac	NOUN
ap-7673	248	7	fermions	fermion	NOUN
ap-7673	248	8	through	through	ADP
ap-7673	248	9	electrostatic	electrostatic	ADJ
ap-7673	248	10	gratings	grating	NOUN
ap-7673	248	11	in	in	ADP
ap-7673	248	12	graphene	graphene	NOUN
ap-7673	248	13	.	.	PUNCT
ap-7673	249	1	physical	physical	PROPN
ap-7673	249	2	review	review	PROPN
ap-7673	249	3	b	b	PROPN
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ap-7673	249	5	,	,	PUNCT
ap-7673	249	6	2020	2020	NUM
ap-7673	249	7	.	.	PUNCT
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ap-7673	250	2	.	.	PUNCT
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ap-7673	251	2	10	10	NUM
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ap-7673	251	5	g.	g.	PROPN
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ap-7673	251	7	,	,	PUNCT
ap-7673	251	8	s.	s.	PROPN
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ap-7673	251	10	-	-	PUNCT
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ap-7673	251	18	h.	h.	PROPN
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ap-7673	251	20	.	.	PUNCT
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ap-7673	252	2	and	and	CCONJ
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ap-7673	252	5	of	of	ADP
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ap-7673	252	11	2d	2d	NUM
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ap-7673	252	14	a	a	DET
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ap-7673	252	16	.	.	PUNCT
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ap-7673	253	7	,	,	PUNCT
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ap-7673	253	9	.	.	PUNCT
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ap-7673	254	2	.	.	PUNCT
ap-7673	255	1	[	[	X
ap-7673	255	2	11	11	NUM
ap-7673	255	3	]	]	PUNCT
ap-7673	255	4	m.	m.	NOUN
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ap-7673	256	4	graphene	graphene	NOUN
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ap-7673	256	7	cauchy	cauchy	NOUN
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ap-7673	256	10	rule	rule	NOUN
ap-7673	256	11	.	.	PUNCT
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ap-7673	257	2	status	status	PROPN
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ap-7673	257	4	(	(	PUNCT
ap-7673	257	5	rrl)–rapid	rrl)–rapid	NOUN
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ap-7673	257	8	12(9):1800237	12(9):1800237	NUM
ap-7673	257	9	,	,	PUNCT
ap-7673	257	10	2018	2018	NUM
ap-7673	257	11	.	.	PUNCT
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ap-7673	258	2	.	.	PUNCT
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ap-7673	259	2	12	12	NUM
ap-7673	259	3	]	]	PUNCT
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ap-7673	259	9	,	,	PUNCT
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ap-7673	259	17	honeycomb	honeycomb	NOUN
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ap-7673	259	25	.	.	PUNCT
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ap-7673	260	2	nanotechnology	nanotechnology	PROPN
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ap-7673	260	4	,	,	PUNCT
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ap-7673	260	6	.	.	PUNCT
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ap-7673	261	2	.	.	PUNCT
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ap-7673	262	2	13	13	NUM
ap-7673	262	3	]	]	X
ap-7673	262	4	y.	y.	NOUN
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ap-7673	262	6	,	,	PUNCT
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ap-7673	262	11	d.	d.	PROPN
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ap-7673	262	13	,	,	PUNCT
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ap-7673	262	15	al	al	PROPN
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ap-7673	262	18	of	of	ADP
ap-7673	262	19	unconventional	unconventional	ADJ
ap-7673	262	20	edge	edge	NOUN
ap-7673	262	21	states	state	NOUN
ap-7673	262	22	in	in	ADP
ap-7673	262	23	‘	'	PUNCT
ap-7673	262	24	photonic	photonic	ADJ
ap-7673	262	25	graphene	graphene	NOUN
ap-7673	262	26	’	'	PUNCT
ap-7673	262	27	.	.	PUNCT
ap-7673	263	1	nature	nature	NOUN
ap-7673	263	2	materials	material	NOUN
ap-7673	263	3	13(1):57–62	13(1):57–62	NUM
ap-7673	263	4	,	,	PUNCT
ap-7673	263	5	2014	2014	NUM
ap-7673	263	6	.	.	PUNCT
ap-7673	264	1	https://doi.org/10.1038/nmat3783	https://doi.org/10.1038/nmat3783	NOUN
ap-7673	264	2	.	.	PUNCT
ap-7673	265	1	[	[	X
ap-7673	265	2	14	14	NUM
ap-7673	265	3	]	]	X
ap-7673	265	4	h.	h.	PROPN
ap-7673	265	5	ramezani	ramezani	PROPN
ap-7673	265	6	,	,	PUNCT
ap-7673	265	7	t.	t.	PROPN
ap-7673	265	8	kottos	kottos	NOUN
ap-7673	265	9	,	,	PUNCT
ap-7673	265	10	v.	v.	CCONJ
ap-7673	265	11	kovanis	kovanis	PROPN
ap-7673	265	12	,	,	PUNCT
ap-7673	265	13	d.	d.	PROPN
ap-7673	265	14	n.	n.	PROPN
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ap-7673	265	16	.	.	PUNCT
ap-7673	266	1	exceptional	exceptional	ADJ
ap-7673	266	2	-	-	PUNCT
ap-7673	266	3	point	point	NOUN
ap-7673	266	4	dynamics	dynamic	NOUN
ap-7673	266	5	in	in	ADP
ap-7673	266	6	photonic	photonic	ADJ
ap-7673	266	7	honeycomb	honeycomb	NOUN
ap-7673	266	8	lattices	lattice	NOUN
ap-7673	266	9	with	with	ADP
ap-7673	266	10	pt	pt	NOUN
ap-7673	266	11	symmetry	symmetry	NOUN
ap-7673	266	12	.	.	PUNCT
ap-7673	267	1	physical	physical	PROPN
ap-7673	267	2	review	review	NOUN
ap-7673	267	3	a	a	DET
ap-7673	267	4	85(1):013818	85(1):013818	NUM
ap-7673	267	5	,	,	PUNCT
ap-7673	267	6	2012	2012	NUM
ap-7673	267	7	.	.	PUNCT
ap-7673	268	1	https://doi.org/10.1103/physreva.85.013818	https://doi.org/10.1103/physreva.85.013818	NOUN
ap-7673	268	2	.	.	PUNCT
ap-7673	269	1	[	[	X
ap-7673	269	2	15	15	NUM
ap-7673	269	3	]	]	X
ap-7673	269	4	g.	g.	PROPN
ap-7673	269	5	g.	g.	PROPN
ap-7673	269	6	pyrialakos	pyrialakos	PROPN
ap-7673	269	7	,	,	PUNCT
ap-7673	269	8	n.	n.	PROPN
ap-7673	269	9	s.	s.	PROPN
ap-7673	269	10	nye	nye	PROPN
ap-7673	269	11	,	,	PUNCT
ap-7673	269	12	n.	n.	PROPN
ap-7673	269	13	v.	v.	PROPN
ap-7673	269	14	kantartzis	kantartzis	PROPN
ap-7673	269	15	,	,	PUNCT
ap-7673	269	16	d.	d.	PROPN
ap-7673	269	17	n.	n.	PROPN
ap-7673	269	18	christodoulides	christodoulide	NOUN
ap-7673	269	19	.	.	PUNCT
ap-7673	270	1	emergence	emergence	NOUN
ap-7673	270	2	of	of	ADP
ap-7673	270	3	type	type	NOUN
ap-7673	270	4	-	-	PUNCT
ap-7673	270	5	ii	ii	NOUN
ap-7673	270	6	dirac	dirac	NOUN
ap-7673	270	7	points	point	NOUN
ap-7673	270	8	in	in	ADP
ap-7673	270	9	graphynelike	graphynelike	ADJ
ap-7673	270	10	photonic	photonic	ADJ
ap-7673	270	11	lattices	lattice	NOUN
ap-7673	270	12	.	.	PUNCT
ap-7673	271	1	physical	physical	ADJ
ap-7673	271	2	review	review	NOUN
ap-7673	271	3	letters	letter	NOUN
ap-7673	271	4	119(11):113901	119(11):113901	NUM
ap-7673	271	5	,	,	PUNCT
ap-7673	271	6	2017	2017	NUM
ap-7673	271	7	.	.	PUNCT
ap-7673	272	1	https://doi.org/10.1103/physrevlett.119.113901	https://doi.org/10.1103/physrevlett.119.113901	NOUN
ap-7673	272	2	.	.	PUNCT
ap-7673	273	1	[	[	X
ap-7673	273	2	16	16	NUM
ap-7673	273	3	]	]	PUNCT
ap-7673	273	4	s.	s.	PROPN
ap-7673	273	5	grosche	grosche	PROPN
ap-7673	273	6	,	,	PUNCT
ap-7673	273	7	a.	a.	NOUN
ap-7673	273	8	szameit	szameit	NOUN
ap-7673	273	9	,	,	PUNCT
ap-7673	273	10	m.	m.	NOUN
ap-7673	273	11	ornigotti	ornigotti	PROPN
ap-7673	273	12	.	.	PUNCT
ap-7673	274	1	spatial	spatial	ADJ
ap-7673	274	2	goos	goos	NOUN
ap-7673	274	3	-	-	PUNCT
ap-7673	274	4	hänchen	hänchen	ADV
ap-7673	274	5	shift	shift	NOUN
ap-7673	274	6	in	in	ADP
ap-7673	274	7	photonic	photonic	ADJ
ap-7673	274	8	graphene	graphene	NOUN
ap-7673	274	9	.	.	PUNCT
ap-7673	275	1	physical	physical	ADJ
ap-7673	275	2	review	review	NOUN
ap-7673	275	3	a	a	DET
ap-7673	275	4	94(6):063831	94(6):063831	NUM
ap-7673	275	5	,	,	PUNCT
ap-7673	275	6	2016	2016	NUM
ap-7673	275	7	.	.	PUNCT
ap-7673	276	1	https://doi.org/10.1103/physreva.94.063831	https://doi.org/10.1103/physreva.94.063831	X
ap-7673	276	2	.	.	PUNCT
ap-7673	277	1	[	[	X
ap-7673	277	2	17	17	NUM
ap-7673	277	3	]	]	PUNCT
ap-7673	277	4	t.	t.	PROPN
ap-7673	277	5	ozawa	ozawa	PROPN
ap-7673	277	6	,	,	PUNCT
ap-7673	277	7	a.	a.	PROPN
ap-7673	277	8	amo	amo	PROPN
ap-7673	277	9	,	,	PUNCT
ap-7673	277	10	j.	j.	PROPN
ap-7673	277	11	bloch	bloch	PROPN
ap-7673	277	12	,	,	PUNCT
ap-7673	277	13	i.	i.	PROPN
ap-7673	277	14	carusotto	carusotto	PROPN
ap-7673	277	15	.	.	PUNCT
ap-7673	278	1	klein	klein	PROPN
ap-7673	278	2	tunneling	tunneling	PROPN
ap-7673	278	3	in	in	ADP
ap-7673	278	4	driven	drive	VERB
ap-7673	278	5	-	-	PUNCT
ap-7673	278	6	dissipative	dissipative	ADJ
ap-7673	278	7	photonic	photonic	NOUN
ap-7673	278	8	graphene	graphene	NOUN
ap-7673	278	9	.	.	PUNCT
ap-7673	279	1	physical	physical	ADJ
ap-7673	279	2	review	review	NOUN
ap-7673	279	3	a	a	DET
ap-7673	279	4	96(1):013813	96(1):013813	NUM
ap-7673	279	5	,	,	PUNCT
ap-7673	279	6	2017	2017	NUM
ap-7673	279	7	.	.	PUNCT
ap-7673	280	1	https://doi.org/10.1103/physreva.96.013813	https://doi.org/10.1103/physreva.96.013813	NOUN
ap-7673	280	2	.	.	PUNCT
ap-7673	281	1	[	[	X
ap-7673	281	2	18	18	NUM
ap-7673	281	3	]	]	PUNCT
ap-7673	281	4	a.	a.	NOUN
ap-7673	281	5	szameit	szameit	NOUN
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ap-7673	281	7	m.	m.	NOUN
ap-7673	281	8	c.	c.	PROPN
ap-7673	281	9	rechtsman	rechtsman	NOUN
ap-7673	281	10	,	,	PUNCT
ap-7673	281	11	o.	o.	PROPN
ap-7673	281	12	bahat	bahat	PROPN
ap-7673	281	13	-	-	PUNCT
ap-7673	281	14	treidel	treidel	NOUN
ap-7673	281	15	,	,	PUNCT
ap-7673	281	16	m.	m.	NOUN
ap-7673	281	17	segev	segev	NOUN
ap-7673	281	18	.	.	PUNCT
ap-7673	281	19	pt	pt	PROPN
ap-7673	281	20	-symmetry	-symmetry	PROPN
ap-7673	281	21	in	in	ADP
ap-7673	281	22	honeycomb	honeycomb	NOUN
ap-7673	281	23	photonic	photonic	ADJ
ap-7673	281	24	lattices	lattice	NOUN
ap-7673	281	25	.	.	PUNCT
ap-7673	282	1	physical	physical	ADJ
ap-7673	282	2	review	review	NOUN
ap-7673	282	3	a	a	DET
ap-7673	282	4	84(2):021806	84(2):021806	NUM
ap-7673	282	5	,	,	PUNCT
ap-7673	282	6	2011	2011	NUM
ap-7673	282	7	.	.	PUNCT
ap-7673	283	1	https://doi.org/10.1103/physreva.84.021806	https://doi.org/10.1103/physreva.84.021806	VERB
ap-7673	283	2	.	.	PUNCT
ap-7673	284	1	[	[	X
ap-7673	284	2	19	19	NUM
ap-7673	284	3	]	]	X
ap-7673	284	4	h.	h.	PROPN
ap-7673	284	5	schomerus	schomerus	PROPN
ap-7673	284	6	,	,	PUNCT
ap-7673	284	7	n.	n.	PROPN
ap-7673	284	8	y.	y.	PROPN
ap-7673	284	9	halpern	halpern	PROPN
ap-7673	284	10	.	.	PUNCT
ap-7673	285	1	parity	parity	NOUN
ap-7673	285	2	anomaly	anomaly	NOUN
ap-7673	285	3	and	and	CCONJ
ap-7673	285	4	landau	landau	NOUN
ap-7673	285	5	-	-	PUNCT
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ap-7673	285	7	lasing	lase	VERB
ap-7673	285	8	in	in	ADP
ap-7673	285	9	strained	strained	ADJ
ap-7673	285	10	photonic	photonic	ADJ
ap-7673	285	11	honeycomb	honeycomb	NOUN
ap-7673	285	12	lattices	lattice	NOUN
ap-7673	285	13	.	.	PUNCT
ap-7673	286	1	physical	physical	ADJ
ap-7673	286	2	review	review	NOUN
ap-7673	286	3	letters	letter	NOUN
ap-7673	286	4	110(1):013903	110(1):013903	PROPN
ap-7673	286	5	,	,	PUNCT
ap-7673	286	6	2013	2013	NUM
ap-7673	286	7	.	.	PUNCT
ap-7673	287	1	https://doi.org/10.1103/physrevlett.110.013903	https://doi.org/10.1103/physrevlett.110.013903	NOUN
ap-7673	287	2	.	.	PUNCT
ap-7673	288	1	[	[	X
ap-7673	288	2	20	20	NUM
ap-7673	288	3	]	]	PUNCT
ap-7673	288	4	m.	m.	NOUN
ap-7673	288	5	c.	c.	PROPN
ap-7673	288	6	rechtsman	rechtsman	PROPN
ap-7673	288	7	,	,	PUNCT
ap-7673	288	8	j.	j.	PROPN
ap-7673	288	9	m.	m.	PROPN
ap-7673	288	10	zeuner	zeuner	PROPN
ap-7673	288	11	,	,	PUNCT
ap-7673	288	12	a.	a.	PROPN
ap-7673	288	13	tünnermann	tünnermann	PROPN
ap-7673	288	14	,	,	PUNCT
ap-7673	288	15	et	et	PROPN
ap-7673	288	16	al	al	PROPN
ap-7673	288	17	.	.	PROPN
ap-7673	288	18	strain	strain	NOUN
ap-7673	288	19	-	-	PUNCT
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ap-7673	288	21	pseudomagnetic	pseudomagnetic	ADJ
ap-7673	288	22	field	field	NOUN
ap-7673	288	23	and	and	CCONJ
ap-7673	288	24	photonic	photonic	ADJ
ap-7673	288	25	landau	landau	NOUN
ap-7673	288	26	levels	level	NOUN
ap-7673	288	27	in	in	ADP
ap-7673	288	28	dielectric	dielectric	ADJ
ap-7673	288	29	structures	structure	NOUN
ap-7673	288	30	.	.	PUNCT
ap-7673	289	1	nature	nature	NOUN
ap-7673	289	2	photonics	photonics	PROPN
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ap-7673	289	4	,	,	PUNCT
ap-7673	289	5	2013	2013	NUM
ap-7673	289	6	.	.	PUNCT
ap-7673	290	1	https://doi.org/10.1038/nphoton.2012.302	https://doi.org/10.1038/nphoton.2012.302	NOUN
ap-7673	290	2	.	.	PUNCT
ap-7673	291	1	[	[	X
ap-7673	291	2	21	21	NUM
ap-7673	291	3	]	]	X
ap-7673	291	4	d.	d.	PROPN
ap-7673	291	5	a.	a.	PROPN
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ap-7673	291	8	m.	m.	NOUN
ap-7673	291	9	mucha	mucha	PROPN
ap-7673	291	10	-	-	PUNCT
ap-7673	291	11	kruczyński	kruczyński	ADJ
ap-7673	291	12	,	,	PUNCT
ap-7673	291	13	h.	h.	PROPN
ap-7673	291	14	schomerus	schomerus	PROPN
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ap-7673	291	19	.	.	PUNCT
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ap-7673	292	2	signatures	signature	NOUN
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ap-7673	292	5	landau	landau	NOUN
ap-7673	292	6	levels	level	NOUN
ap-7673	292	7	in	in	ADP
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ap-7673	292	9	graphene	graphene	NOUN
ap-7673	292	10	ribbons	ribbon	NOUN
ap-7673	292	11	.	.	PUNCT
ap-7673	293	1	physical	physical	ADJ
ap-7673	293	2	review	review	NOUN
ap-7673	293	3	letters	letter	NOUN
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ap-7673	293	5	,	,	PUNCT
ap-7673	293	6	2013	2013	NUM
ap-7673	293	7	.	.	PUNCT
ap-7673	294	1	https://doi.org/10.1103/physrevlett.110.266801	https://doi.org/10.1103/physrevlett.110.266801	NOUN
ap-7673	294	2	.	.	PUNCT
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ap-7673	295	2	22	22	NUM
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ap-7673	295	6	,	,	PUNCT
ap-7673	295	7	g.	g.	PROPN
ap-7673	295	8	montambaux	montambaux	PROPN
ap-7673	295	9	.	.	PUNCT
ap-7673	296	1	remarks	remark	NOUN
ap-7673	296	2	on	on	ADP
ap-7673	296	3	the	the	DET
ap-7673	296	4	tight	tight	ADV
ap-7673	296	5	-	-	PUNCT
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ap-7673	296	7	model	model	NOUN
ap-7673	296	8	of	of	ADP
ap-7673	296	9	graphene	graphene	NOUN
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ap-7673	297	6	,	,	PUNCT
ap-7673	297	7	2009	2009	NUM
ap-7673	297	8	.	.	PUNCT
ap-7673	298	1	https://doi.org/10.1088/1367-2630/11/9/095003	https://doi.org/10.1088/1367-2630/11/9/095003	NOUN
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ap-7673	299	2	23	23	NUM
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ap-7673	299	9	,	,	PUNCT
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ap-7673	299	11	montambaux	montambaux	PROPN
ap-7673	299	12	.	.	PUNCT
ap-7673	300	1	new	new	ADJ
ap-7673	300	2	magnetic	magnetic	ADJ
ap-7673	300	3	field	field	NOUN
ap-7673	300	4	dependence	dependence	NOUN
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ap-7673	300	6	landau	landau	NOUN
ap-7673	300	7	levels	level	NOUN
ap-7673	300	8	in	in	ADP
ap-7673	300	9	a	a	DET
ap-7673	300	10	graphenelike	graphenelike	NOUN
ap-7673	300	11	structure	structure	NOUN
ap-7673	300	12	.	.	PUNCT
ap-7673	301	1	physical	physical	ADJ
ap-7673	301	2	review	review	NOUN
ap-7673	301	3	letters	letter	VERB
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ap-7673	301	5	,	,	PUNCT
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ap-7673	301	7	.	.	PUNCT
ap-7673	302	1	https://doi.org/10.1103/physrevlett.100.236405	https://doi.org/10.1103/physrevlett.100.236405	NOUN
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ap-7673	303	1	[	[	X
ap-7673	303	2	24	24	NUM
ap-7673	303	3	]	]	PUNCT
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ap-7673	303	30	,	,	PUNCT
ap-7673	303	31	grüneisen	grüneisen	ADJ
ap-7673	303	32	parameters	parameter	NOUN
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ap-7673	303	35	sample	sample	NOUN
ap-7673	303	36	orientation	orientation	NOUN
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ap-7673	304	1	physical	physical	PROPN
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ap-7673	304	5	,	,	PUNCT
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ap-7673	304	7	.	.	PUNCT
ap-7673	305	1	https://doi.org/10.1103/physrevb.79.205433	https://doi.org/10.1103/physrevb.79.205433	NOUN
ap-7673	305	2	.	.	PUNCT
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ap-7673	306	2	25	25	NUM
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ap-7673	306	10	y.	y.	PROPN
ap-7673	306	11	chen	chen	PROPN
ap-7673	306	12	,	,	PUNCT
ap-7673	306	13	et	et	PROPN
ap-7673	306	14	al	al	PROPN
ap-7673	306	15	.	.	PROPN
ap-7673	306	16	stretchable	stretchable	PROPN
ap-7673	306	17	graphene	graphene	NOUN
ap-7673	306	18	:	:	PUNCT
ap-7673	306	19	a	a	DET
ap-7673	306	20	close	close	ADJ
ap-7673	306	21	look	look	NOUN
ap-7673	306	22	at	at	ADP
ap-7673	306	23	fundamental	fundamental	ADJ
ap-7673	306	24	parameters	parameter	NOUN
ap-7673	306	25	through	through	ADP
ap-7673	306	26	biaxial	biaxial	ADJ
ap-7673	306	27	straining	straining	NOUN
ap-7673	306	28	.	.	PUNCT
ap-7673	307	1	nano	nano	NOUN
ap-7673	307	2	letters	letter	NOUN
ap-7673	307	3	10(9):3453–3458	10(9):3453–3458	NUM
ap-7673	307	4	,	,	PUNCT
ap-7673	307	5	2010	2010	NUM
ap-7673	307	6	.	.	PUNCT
ap-7673	308	1	https://doi.org/10.1021/nl101533x	https://doi.org/10.1021/nl101533x	PROPN
ap-7673	308	2	.	.	PUNCT
ap-7673	309	1	[	[	X
ap-7673	309	2	26	26	NUM
ap-7673	309	3	]	]	PUNCT
ap-7673	309	4	a.	a.	PROPN
ap-7673	309	5	contreras	contreras	PROPN
ap-7673	309	6	-	-	PUNCT
ap-7673	309	7	astorga	astorga	PROPN
ap-7673	309	8	,	,	PUNCT
ap-7673	309	9	v.	v.	CCONJ
ap-7673	309	10	jakubskỳ	jakubskỳ	PROPN
ap-7673	309	11	,	,	PUNCT
ap-7673	309	12	a.	a.	PROPN
ap-7673	309	13	raya	raya	PROPN
ap-7673	309	14	.	.	PUNCT
ap-7673	310	1	on	on	ADP
ap-7673	310	2	the	the	DET
ap-7673	310	3	propagation	propagation	NOUN
ap-7673	310	4	of	of	ADP
ap-7673	310	5	dirac	dirac	NOUN
ap-7673	310	6	fermions	fermion	NOUN
ap-7673	310	7	in	in	ADP
ap-7673	310	8	graphene	graphene	NOUN
ap-7673	310	9	with	with	ADP
ap-7673	310	10	strain	strain	NOUN
ap-7673	310	11	-	-	PUNCT
ap-7673	310	12	induced	induce	VERB
ap-7673	310	13	inhomogeneous	inhomogeneous	ADJ
ap-7673	310	14	fermi	fermi	NOUN
ap-7673	310	15	velocity	velocity	NOUN
ap-7673	310	16	.	.	PUNCT
ap-7673	311	1	journal	journal	PROPN
ap-7673	311	2	of	of	ADP
ap-7673	311	3	physics	physics	PROPN
ap-7673	311	4	:	:	PUNCT
ap-7673	311	5	condensed	condense	VERB
ap-7673	311	6	matter	matter	ADV
ap-7673	311	7	32(29):295301	32(29):295301	NUM
ap-7673	311	8	,	,	PUNCT
ap-7673	311	9	2020	2020	NUM
ap-7673	311	10	.	.	PUNCT
ap-7673	312	1	https://doi.org/10.1088/1361-648x/ab7e5b	https://doi.org/10.1088/1361-648x/ab7e5b	ADJ
ap-7673	312	2	.	.	PUNCT
ap-7673	313	1	[	[	X
ap-7673	313	2	27	27	NUM
ap-7673	313	3	]	]	X
ap-7673	313	4	d.	d.	PROPN
ap-7673	313	5	j.	j.	PROPN
ap-7673	313	6	fernández	fernández	PROPN
ap-7673	313	7	c.	c.	PROPN
ap-7673	313	8	susy	susy	PROPN
ap-7673	313	9	quantum	quantum	PROPN
ap-7673	313	10	mechanics	mechanic	NOUN
ap-7673	313	11	.	.	PUNCT
ap-7673	314	1	international	international	ADJ
ap-7673	314	2	journal	journal	PROPN
ap-7673	314	3	of	of	ADP
ap-7673	314	4	modern	modern	ADJ
ap-7673	314	5	physics	physic	NOUN
ap-7673	314	6	a	a	DET
ap-7673	314	7	12(01):171–176	12(01):171–176	PROPN
ap-7673	314	8	,	,	PUNCT
ap-7673	314	9	1997	1997	NUM
ap-7673	314	10	.	.	PUNCT
ap-7673	315	1	https://doi.org/10.1142/s0217751x97000232	https://doi.org/10.1142/s0217751x97000232	NOUN
ap-7673	315	2	.	.	PUNCT
ap-7673	316	1	[	[	X
ap-7673	316	2	28	28	NUM
ap-7673	316	3	]	]	X
ap-7673	316	4	d.	d.	PROPN
ap-7673	316	5	j.	j.	PROPN
ap-7673	316	6	fernández	fernández	PROPN
ap-7673	316	7	c.	c.	PROPN
ap-7673	316	8	,	,	PUNCT
ap-7673	316	9	n.	n.	PROPN
ap-7673	316	10	fernández	fernández	PROPN
ap-7673	316	11	-	-	PUNCT
ap-7673	316	12	garcía	garcía	ADJ
ap-7673	316	13	.	.	PUNCT
ap-7673	317	1	higher	high	ADJ
ap-7673	317	2	-	-	PUNCT
ap-7673	317	3	order	order	NOUN
ap-7673	317	4	supersymmetric	supersymmetric	ADJ
ap-7673	317	5	quantum	quantum	NOUN
ap-7673	317	6	mechanics	mechanic	NOUN
ap-7673	317	7	.	.	PUNCT
ap-7673	318	1	aip	aip	PROPN
ap-7673	318	2	conference	conference	NOUN
ap-7673	318	3	proceedings	proceeding	NOUN
ap-7673	318	4	744(1):236–273	744(1):236–273	NUM
ap-7673	318	5	,	,	PUNCT
ap-7673	318	6	2004	2004	NUM
ap-7673	318	7	.	.	PUNCT
ap-7673	319	1	https://doi.org/10.1063/1.1853203	https://doi.org/10.1063/1.1853203	NOUN
ap-7673	319	2	.	.	PUNCT
ap-7673	320	1	[	[	X
ap-7673	320	2	29	29	NUM
ap-7673	320	3	]	]	X
ap-7673	320	4	l.	l.	PROPN
ap-7673	320	5	m.	m.	PROPN
ap-7673	320	6	nieto	nieto	PROPN
ap-7673	320	7	,	,	PUNCT
ap-7673	320	8	a.	a.	NOUN
ap-7673	320	9	a.	a.	NOUN
ap-7673	320	10	pecheritsin	pecheritsin	PROPN
ap-7673	320	11	,	,	PUNCT
ap-7673	320	12	b.	b.	PROPN
ap-7673	320	13	f.	f.	PROPN
ap-7673	320	14	samsonov	samsonov	PROPN
ap-7673	320	15	.	.	PUNCT
ap-7673	321	1	intertwining	intertwine	VERB
ap-7673	321	2	technique	technique	NOUN
ap-7673	321	3	for	for	ADP
ap-7673	321	4	the	the	DET
ap-7673	321	5	one	one	NUM
ap-7673	321	6	-	-	PUNCT
ap-7673	321	7	dimensional	dimensional	ADJ
ap-7673	321	8	stationary	stationary	ADJ
ap-7673	321	9	dirac	dirac	NOUN
ap-7673	321	10	equation	equation	NOUN
ap-7673	321	11	.	.	PUNCT
ap-7673	322	1	annals	annal	NOUN
ap-7673	322	2	of	of	ADP
ap-7673	322	3	physics	physics	NOUN
ap-7673	322	4	305(2):151–189	305(2):151–189	NUM
ap-7673	322	5	,	,	PUNCT
ap-7673	322	6	2003	2003	NUM
ap-7673	322	7	.	.	PUNCT
ap-7673	323	1	https://doi.org/10.1016/s0003-4916(03)00071-x	https://doi.org/10.1016/s0003-4916(03)00071-x	PROPN
ap-7673	323	2	.	.	PUNCT
ap-7673	324	1	29	29	NUM
ap-7673	324	2	https://doi.org/10.1088/1751-8113/47/28/285302	https://doi.org/10.1088/1751-8113/47/28/285302	PROPN
ap-7673	324	3	https://doi.org/10.1063/1.4898184	https://doi.org/10.1063/1.4898184	NOUN
ap-7673	324	4	https://doi.org/10.1088/1751-8121/ab3f40	https://doi.org/10.1088/1751-8121/ab3f40	NOUN
ap-7673	324	5	https://doi.org/10.1103/physrevb.102.115429	https://doi.org/10.1103/physrevb.102.115429	ADJ
ap-7673	324	6	https://doi.org/10.1088/1361-6633/aa74ef	https://doi.org/10.1088/1361-6633/aa74ef	PRON
ap-7673	324	7	https://doi.org/10.1002/pssr.201800237	https://doi.org/10.1002/pssr.201800237	ADJ
ap-7673	324	8	https://doi.org/10.1038/nnano.2013.161	https://doi.org/10.1038/nnano.2013.161	ADJ
ap-7673	324	9	https://doi.org/10.1038/nmat3783	https://doi.org/10.1038/nmat3783	NOUN
ap-7673	324	10	https://doi.org/10.1103/physreva.85.013818	https://doi.org/10.1103/physreva.85.013818	NOUN
ap-7673	325	1	https://doi.org/10.1103/physrevlett.119.113901	https://doi.org/10.1103/physrevlett.119.113901	PROPN
ap-7673	325	2	https://doi.org/10.1103/physreva.94.063831	https://doi.org/10.1103/physreva.94.063831	ADP
ap-7673	326	1	https://doi.org/10.1103/physreva.96.013813	https://doi.org/10.1103/physreva.96.013813	PROPN
ap-7673	326	2	https://doi.org/10.1103/physreva.84.021806	https://doi.org/10.1103/physreva.84.021806	X
ap-7673	326	3	https://doi.org/10.1103/physrevlett.110.013903	https://doi.org/10.1103/physrevlett.110.013903	PROPN
ap-7673	326	4	https://doi.org/10.1038/nphoton.2012.302	https://doi.org/10.1038/nphoton.2012.302	PROPN
ap-7673	326	5	https://doi.org/10.1103/physrevlett.110.266801	https://doi.org/10.1103/physrevlett.110.266801	X
ap-7673	326	6	https://doi.org/10.1088/1367-2630/11/9/095003	https://doi.org/10.1088/1367-2630/11/9/095003	PROPN
ap-7673	326	7	https://doi.org/10.1103/physrevlett.100.236405	https://doi.org/10.1103/physrevlett.100.236405	PROPN
ap-7673	326	8	https://doi.org/10.1103/physrevb.79.205433	https://doi.org/10.1103/physrevb.79.205433	NOUN
ap-7673	326	9	https://doi.org/10.1021/nl101533x	https://doi.org/10.1021/nl101533x	PROPN
ap-7673	326	10	https://doi.org/10.1088/1361-648x/ab7e5b	https://doi.org/10.1088/1361-648x/ab7e5b	PROPN
ap-7673	326	11	https://doi.org/10.1142/s0217751x97000232	https://doi.org/10.1142/s0217751x97000232	ADP
ap-7673	326	12	https://doi.org/10.1063/1.1853203	https://doi.org/10.1063/1.1853203	PROPN
ap-7673	326	13	https://doi.org/10.1016/s0003-4916(03)00071-x	https://doi.org/10.1016/s0003-4916(03)00071-x	PROPN
ap-7673	326	14	acta	acta	PROPN
ap-7673	326	15	polytechnica	polytechnica	PROPN
ap-7673	326	16	62(1):23–29	62(1):23–29	NUM
ap-7673	326	17	,	,	PUNCT
ap-7673	326	18	2022	2022	NUM
ap-7673	326	19	1	1	NUM
ap-7673	326	20	introduction	introduction	NOUN
ap-7673	326	21	2	2	NUM
ap-7673	326	22	strain	strain	NOUN
ap-7673	326	23	in	in	ADP
ap-7673	326	24	photonic	photonic	ADJ
ap-7673	326	25	graphene	graphene	NOUN
ap-7673	326	26	2.1	2.1	NUM
ap-7673	326	27	tight	tight	ADV
ap-7673	326	28	-	-	PUNCT
ap-7673	326	29	binding	bind	VERB
ap-7673	326	30	model	model	NOUN
ap-7673	326	31	2.2	2.2	NUM
ap-7673	326	32	uniform	uniform	NOUN
ap-7673	326	33	strain	strain	VERB
ap-7673	326	34	2.3	2.3	NUM
ap-7673	326	35	non	non	ADJ
ap-7673	326	36	-	-	ADJ
ap-7673	326	37	uniform	uniform	ADJ
ap-7673	326	38	strain	strain	VERB
ap-7673	326	39	3	3	NUM
ap-7673	326	40	supersymmetric	supersymmetric	ADJ
ap-7673	326	41	quantum	quantum	ADJ
ap-7673	326	42	mechanics	mechanic	NOUN
ap-7673	326	43	:	:	PUNCT
ap-7673	326	44	matrix	matrix	NOUN
ap-7673	326	45	approach	approach	NOUN
ap-7673	326	46	4	4	NUM
ap-7673	326	47	photonic	photonic	NOUN
ap-7673	326	48	graphene	graphene	NOUN
ap-7673	326	49	under	under	ADP
ap-7673	326	50	strain	strain	NOUN
ap-7673	326	51	and	and	CCONJ
ap-7673	326	52	position	position	NOUN
ap-7673	326	53	-	-	PUNCT
ap-7673	326	54	dependent	dependent	ADJ
ap-7673	326	55	gain	gain	NOUN
ap-7673	326	56	and	and	CCONJ
ap-7673	326	57	loss	loss	VERB
ap-7673	326	58	4.1	4.1	NUM
ap-7673	326	59	photonic	photonic	NOUN
ap-7673	326	60	graphene	graphene	NOUN
ap-7673	326	61	with	with	ADP
ap-7673	326	62	a	a	DET
ap-7673	326	63	single	single	ADJ
ap-7673	326	64	mode	mode	NOUN
ap-7673	326	65	4.2	4.2	NUM
ap-7673	326	66	photonic	photonic	NOUN
ap-7673	326	67	graphene	graphene	NOUN
ap-7673	326	68	with	with	ADP
ap-7673	326	69	two	two	NUM
ap-7673	326	70	modes	mode	NOUN
ap-7673	326	71	5	5	NUM
ap-7673	326	72	summary	summary	NOUN
ap-7673	326	73	acknowledgements	acknowledgement	NOUN
ap-7673	326	74	references	reference	NOUN