id	sid	tid	token	lemma	pos
ajtas-2988	1	1	american	american	PROPN
ajtas-2988	1	2	journal	journal	PROPN
ajtas-2988	1	3	of	of	ADP
ajtas-2988	1	4	technology	technology	NOUN
ajtas-2988	1	5	and	and	CCONJ
ajtas-2988	1	6	applied	apply	VERB
ajtas-2988	1	7	sciences	sciences	PROPN
ajtas-2988	1	8	issn	issn	X
ajtas-2988	1	9	(	(	PUNCT
ajtas-2988	1	10	e	e	NOUN
ajtas-2988	1	11	):	):	PUNCT
ajtas-2988	1	12	2832	2832	NUM
ajtas-2988	1	13	-	-	SYM
ajtas-2988	1	14	1766	1766	NUM
ajtas-2988	1	15	volume	volume	NOUN
ajtas-2988	1	16	37	37	NUM
ajtas-2988	1	17	,	,	PUNCT
ajtas-2988	1	18	june	june	PROPN
ajtas-2988	1	19	2025	2025	NUM
ajtas-2988	1	20	p	p	NOUN
ajtas-2988	1	21	a	a	DET
ajtas-2988	1	22	g	g	NOUN
ajtas-2988	1	23	e	e	NOUN
ajtas-2988	1	24	|	|	ADV
ajtas-2988	1	25	10	10	NUM
ajtas-2988	1	26	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	1	27	charge	charge	NOUN
ajtas-2988	1	28	–	–	PUNCT
ajtas-2988	1	29	voltage	voltage	NOUN
ajtas-2988	1	30	relations	relation	NOUN
ajtas-2988	1	31	in	in	ADP
ajtas-2988	1	32	quantum	quantum	ADJ
ajtas-2988	1	33	dot	dot	NOUN
ajtas-2988	1	34	array	array	NOUN
ajtas-2988	1	35	field	field	NOUN
ajtas-2988	1	36	-	-	PUNCT
ajtas-2988	1	37	effect	effect	NOUN
ajtas-2988	1	38	transistors	transistor	NOUN
ajtas-2988	1	39	yurii	yurii	AUX
ajtas-2988	1	40	sibirnovskii	sibirnovskii	VERB
ajtas-2988	1	41	1	1	NUM
ajtas-2988	1	42	khayratdin	khayratdin	VERB
ajtas-2988	1	43	kamalov2	kamalov2	NOUN
ajtas-2988	1	44	abdumukhamed	abdumukhamed	PROPN
ajtas-2988	1	45	khudaybergenov3	khudaybergenov3	PROPN
ajtas-2988	1	46	national	national	PROPN
ajtas-2988	1	47	research	research	PROPN
ajtas-2988	1	48	nuclear	nuclear	PROPN
ajtas-2988	1	49	university	university	PROPN
ajtas-2988	1	50	mephi	mephi	PROPN
ajtas-2988	1	51	department	department	PROPN
ajtas-2988	1	52	of	of	ADP
ajtas-2988	1	53	condensed	condense	VERB
ajtas-2988	1	54	matter	matter	NOUN
ajtas-2988	1	55	physics	physics	NOUN
ajtas-2988	1	56	,	,	PUNCT
ajtas-2988	1	57	moscow	moscow	PROPN
ajtas-2988	1	58	,	,	PUNCT
ajtas-2988	1	59	russia	russia	PROPN
ajtas-2988	1	60	karakalpak	karakalpak	PROPN
ajtas-2988	1	61	state	state	PROPN
ajtas-2988	1	62	university	university	PROPN
ajtas-2988	1	63	,	,	PUNCT
ajtas-2988	1	64	department	department	NOUN
ajtas-2988	1	65	of	of	ADP
ajtas-2988	1	66	physics	physics	PROPN
ajtas-2988	1	67	,	,	PUNCT
ajtas-2988	1	68	khayratdinkamalov@gmail.com	khayratdinkamalov@gmail.com	PROPN
ajtas-2988	2	1	karakalpak	karakalpak	PROPN
ajtas-2988	2	2	state	state	PROPN
ajtas-2988	2	3	university	university	PROPN
ajtas-2988	2	4	,	,	PUNCT
ajtas-2988	2	5	department	department	NOUN
ajtas-2988	2	6	of	of	ADP
ajtas-2988	2	7	physics	physics	PROPN
ajtas-2988	2	8	,	,	PUNCT
ajtas-2988	2	9	abdumuxammed2198@gmail.com	abdumuxammed2198@gmail.com	PUNCT
ajtas-2988	3	1	a	a	DET
ajtas-2988	3	2	b	b	PROPN
ajtas-2988	3	3	s	s	ADP
ajtas-2988	3	4	t	t	PROPN
ajtas-2988	3	5	r	r	NOUN
ajtas-2988	3	6	a	a	DET
ajtas-2988	3	7	c	c	NOUN
ajtas-2988	3	8	t	t	NOUN
ajtas-2988	3	9	k	k	X
ajtas-2988	3	10	e	e	PROPN
ajtas-2988	3	11	y	y	PROPN
ajtas-2988	3	12	w	w	NOUN
ajtas-2988	3	13	o	o	NOUN
ajtas-2988	3	14	r	r	NOUN
ajtas-2988	3	15	d	d	PROPN
ajtas-2988	3	16	s	s	VERB
ajtas-2988	3	17	this	this	DET
ajtas-2988	3	18	paper	paper	NOUN
ajtas-2988	3	19	presents	present	VERB
ajtas-2988	3	20	a	a	DET
ajtas-2988	3	21	numerical	numerical	ADJ
ajtas-2988	3	22	modeling	modeling	NOUN
ajtas-2988	3	23	approach	approach	NOUN
ajtas-2988	3	24	to	to	PART
ajtas-2988	3	25	analyze	analyze	VERB
ajtas-2988	3	26	the	the	DET
ajtas-2988	3	27	characteristics	characteristic	NOUN
ajtas-2988	3	28	of	of	ADP
ajtas-2988	3	29	a	a	DET
ajtas-2988	3	30	field	field	NOUN
ajtas-2988	3	31	-	-	PUNCT
ajtas-2988	3	32	effect	effect	NOUN
ajtas-2988	3	33	transistor	transistor	NOUN
ajtas-2988	3	34	(	(	PUNCT
ajtas-2988	3	35	fet	fet	PROPN
ajtas-2988	3	36	)	)	PUNCT
ajtas-2988	3	37	with	with	ADP
ajtas-2988	3	38	a	a	DET
ajtas-2988	3	39	quantum	quantum	ADJ
ajtas-2988	3	40	dot	dot	NOUN
ajtas-2988	3	41	array	array	NOUN
ajtas-2988	3	42	channel	channel	NOUN
ajtas-2988	3	43	.	.	PUNCT
ajtas-2988	4	1	the	the	DET
ajtas-2988	4	2	study	study	NOUN
ajtas-2988	4	3	primarily	primarily	ADV
ajtas-2988	4	4	considers	consider	VERB
ajtas-2988	4	5	the	the	DET
ajtas-2988	4	6	quantum	quantum	ADJ
ajtas-2988	4	7	size	size	NOUN
ajtas-2988	4	8	distribution	distribution	NOUN
ajtas-2988	4	9	,	,	PUNCT
ajtas-2988	4	10	gamma	gamma	NOUN
ajtas-2988	4	11	distribution	distribution	NOUN
ajtas-2988	4	12	as	as	ADP
ajtas-2988	4	13	a	a	DET
ajtas-2988	4	14	function	function	NOUN
ajtas-2988	4	15	of	of	ADP
ajtas-2988	4	16	density	density	NOUN
ajtas-2988	4	17	,	,	PUNCT
ajtas-2988	4	18	and	and	CCONJ
ajtas-2988	4	19	the	the	DET
ajtas-2988	4	20	resulting	result	VERB
ajtas-2988	4	21	energy	energy	NOUN
ajtas-2988	4	22	distributions	distribution	NOUN
ajtas-2988	4	23	.	.	PUNCT
ajtas-2988	5	1	newton	newton	PROPN
ajtas-2988	5	2	’s	’s	PART
ajtas-2988	5	3	method	method	NOUN
ajtas-2988	5	4	is	be	AUX
ajtas-2988	5	5	employed	employ	VERB
ajtas-2988	5	6	to	to	PART
ajtas-2988	5	7	solve	solve	VERB
ajtas-2988	5	8	the	the	DET
ajtas-2988	5	9	system	system	NOUN
ajtas-2988	5	10	of	of	ADP
ajtas-2988	5	11	nonlinear	nonlinear	ADJ
ajtas-2988	5	12	equations	equation	NOUN
ajtas-2988	5	13	governing	govern	VERB
ajtas-2988	5	14	quantum	quantum	ADJ
ajtas-2988	5	15	transport	transport	NOUN
ajtas-2988	5	16	phenomena	phenomenon	NOUN
ajtas-2988	5	17	.	.	PUNCT
ajtas-2988	6	1	the	the	DET
ajtas-2988	6	2	laplace	laplace	NOUN
ajtas-2988	6	3	equation	equation	NOUN
ajtas-2988	6	4	is	be	AUX
ajtas-2988	6	5	used	use	VERB
ajtas-2988	6	6	to	to	PART
ajtas-2988	6	7	describe	describe	VERB
ajtas-2988	6	8	the	the	DET
ajtas-2988	6	9	electrostatic	electrostatic	ADJ
ajtas-2988	6	10	potential	potential	NOUN
ajtas-2988	6	11	,	,	PUNCT
ajtas-2988	6	12	and	and	CCONJ
ajtas-2988	6	13	simulations	simulation	NOUN
ajtas-2988	6	14	are	be	AUX
ajtas-2988	6	15	conducted	conduct	VERB
ajtas-2988	6	16	in	in	ADP
ajtas-2988	6	17	matlab	matlab	PROPN
ajtas-2988	6	18	and	and	CCONJ
ajtas-2988	6	19	r.	r.	PROPN
ajtas-2988	6	20	the	the	DET
ajtas-2988	6	21	results	result	NOUN
ajtas-2988	6	22	provide	provide	VERB
ajtas-2988	6	23	insight	insight	NOUN
ajtas-2988	6	24	into	into	ADP
ajtas-2988	6	25	the	the	DET
ajtas-2988	6	26	transistor	transistor	NOUN
ajtas-2988	6	27	’s	’s	PART
ajtas-2988	6	28	behavior	behavior	NOUN
ajtas-2988	6	29	under	under	ADP
ajtas-2988	6	30	varying	vary	VERB
ajtas-2988	6	31	conditions	condition	NOUN
ajtas-2988	6	32	,	,	PUNCT
ajtas-2988	6	33	highlighting	highlight	VERB
ajtas-2988	6	34	the	the	DET
ajtas-2988	6	35	influence	influence	NOUN
ajtas-2988	6	36	of	of	ADP
ajtas-2988	6	37	size	size	NOUN
ajtas-2988	6	38	-	-	PUNCT
ajtas-2988	6	39	dependent	dependent	ADJ
ajtas-2988	6	40	energy	energy	NOUN
ajtas-2988	6	41	levels	level	NOUN
ajtas-2988	6	42	and	and	CCONJ
ajtas-2988	6	43	quantum	quantum	ADJ
ajtas-2988	6	44	confinement	confinement	NOUN
ajtas-2988	6	45	effects	effect	NOUN
ajtas-2988	6	46	.	.	PUNCT
ajtas-2988	7	1	introduction	introduction	NOUN
ajtas-2988	7	2	quantum	quantum	NOUN
ajtas-2988	7	3	dot	dot	NOUN
ajtas-2988	7	4	array	array	NOUN
ajtas-2988	7	5	-	-	PUNCT
ajtas-2988	7	6	based	base	VERB
ajtas-2988	7	7	field	field	NOUN
ajtas-2988	7	8	-	-	PUNCT
ajtas-2988	7	9	effect	effect	NOUN
ajtas-2988	7	10	transistors	transistor	NOUN
ajtas-2988	7	11	(	(	PUNCT
ajtas-2988	7	12	fets	fet	NOUN
ajtas-2988	7	13	)	)	PUNCT
ajtas-2988	7	14	have	have	AUX
ajtas-2988	7	15	emerged	emerge	VERB
ajtas-2988	7	16	as	as	ADP
ajtas-2988	7	17	promising	promise	VERB
ajtas-2988	7	18	candidates	candidate	NOUN
ajtas-2988	7	19	for	for	ADP
ajtas-2988	7	20	next	next	ADJ
ajtas-2988	7	21	-	-	PUNCT
ajtas-2988	7	22	generation	generation	NOUN
ajtas-2988	7	23	nanoelectronic	nanoelectronic	PROPN
ajtas-2988	7	24	devices	device	NOUN
ajtas-2988	7	25	due	due	ADP
ajtas-2988	7	26	to	to	ADP
ajtas-2988	7	27	their	their	PRON
ajtas-2988	7	28	discrete	discrete	ADJ
ajtas-2988	7	29	energy	energy	NOUN
ajtas-2988	7	30	levels	level	NOUN
ajtas-2988	7	31	,	,	PUNCT
ajtas-2988	7	32	tunable	tunable	ADJ
ajtas-2988	7	33	quantum	quantum	ADJ
ajtas-2988	7	34	confinement	confinement	NOUN
ajtas-2988	7	35	effects	effect	NOUN
ajtas-2988	7	36	,	,	PUNCT
ajtas-2988	7	37	and	and	CCONJ
ajtas-2988	7	38	strong	strong	ADJ
ajtas-2988	7	39	electrostatic	electrostatic	ADJ
ajtas-2988	7	40	control	control	NOUN
ajtas-2988	7	41	.	.	PUNCT
ajtas-2988	8	1	the	the	DET
ajtas-2988	8	2	unique	unique	ADJ
ajtas-2988	8	3	transport	transport	NOUN
ajtas-2988	8	4	properties	property	NOUN
ajtas-2988	8	5	of	of	ADP
ajtas-2988	8	6	these	these	DET
ajtas-2988	8	7	transistors	transistor	NOUN
ajtas-2988	8	8	are	be	AUX
ajtas-2988	8	9	governed	govern	VERB
ajtas-2988	8	10	by	by	ADP
ajtas-2988	8	11	several	several	ADJ
ajtas-2988	8	12	critical	critical	ADJ
ajtas-2988	8	13	factors	factor	NOUN
ajtas-2988	8	14	,	,	PUNCT
ajtas-2988	8	15	including	include	VERB
ajtas-2988	8	16	the	the	DET
ajtas-2988	8	17	quantum	quantum	ADJ
ajtas-2988	8	18	dot	dot	NOUN
ajtas-2988	8	19	size	size	NOUN
ajtas-2988	8	20	distribution	distribution	NOUN
ajtas-2988	8	21	,	,	PUNCT
ajtas-2988	8	22	energy	energy	NOUN
ajtas-2988	8	23	broadening	broadening	NOUN
ajtas-2988	8	24	effects	effect	NOUN
ajtas-2988	8	25	,	,	PUNCT
ajtas-2988	8	26	and	and	CCONJ
ajtas-2988	8	27	charge	charge	NOUN
ajtas-2988	8	28	transport	transport	NOUN
ajtas-2988	8	29	mechanisms	mechanism	NOUN
ajtas-2988	8	30	.	.	PUNCT
ajtas-2988	9	1	the	the	DET
ajtas-2988	9	2	variation	variation	NOUN
ajtas-2988	9	3	in	in	ADP
ajtas-2988	9	4	quantum	quantum	ADJ
ajtas-2988	9	5	dot	dot	NOUN
ajtas-2988	9	6	sizes	size	NOUN
ajtas-2988	9	7	leads	lead	VERB
ajtas-2988	9	8	to	to	ADP
ajtas-2988	9	9	fluctuations	fluctuation	NOUN
ajtas-2988	9	10	in	in	ADP
ajtas-2988	9	11	the	the	DET
ajtas-2988	9	12	density	density	NOUN
ajtas-2988	9	13	of	of	ADP
ajtas-2988	9	14	states	state	NOUN
ajtas-2988	9	15	,	,	PUNCT
ajtas-2988	9	16	which	which	PRON
ajtas-2988	9	17	in	in	ADP
ajtas-2988	9	18	turn	turn	NOUN
ajtas-2988	9	19	influences	influence	VERB
ajtas-2988	9	20	the	the	DET
ajtas-2988	9	21	current	current	ADJ
ajtas-2988	9	22	-	-	PUNCT
ajtas-2988	9	23	voltage	voltage	NOUN
ajtas-2988	9	24	(	(	PUNCT
ajtas-2988	9	25	i	i	NOUN
ajtas-2988	9	26	-	-	PUNCT
ajtas-2988	9	27	v	v	NOUN
ajtas-2988	9	28	)	)	PUNCT
ajtas-2988	9	29	characteristics	characteristic	NOUN
ajtas-2988	9	30	,	,	PUNCT
ajtas-2988	9	31	energy	energy	NOUN
ajtas-2988	9	32	level	level	NOUN
ajtas-2988	9	33	distributions	distribution	NOUN
ajtas-2988	9	34	,	,	PUNCT
ajtas-2988	9	35	and	and	CCONJ
ajtas-2988	9	36	overall	overall	ADJ
ajtas-2988	9	37	device	device	NOUN
ajtas-2988	9	38	performance	performance	NOUN
ajtas-2988	9	39	.	.	PUNCT
ajtas-2988	10	1	additionally	additionally	ADV
ajtas-2988	10	2	,	,	PUNCT
ajtas-2988	10	3	the	the	DET
ajtas-2988	10	4	current	current	NOUN
ajtas-2988	10	5	flowing	flow	VERB
ajtas-2988	10	6	through	through	ADP
ajtas-2988	10	7	the	the	DET
ajtas-2988	10	8	quantum	quantum	NOUN
ajtas-2988	10	9	dot	dot	NOUN
ajtas-2988	10	10	array	array	NOUN
ajtas-2988	10	11	is	be	AUX
ajtas-2988	10	12	affected	affect	VERB
ajtas-2988	10	13	by	by	ADP
ajtas-2988	10	14	the	the	DET
ajtas-2988	10	15	stochastic	stochastic	ADJ
ajtas-2988	10	16	nature	nature	NOUN
ajtas-2988	10	17	of	of	ADP
ajtas-2988	10	18	1	1	NUM
ajtas-2988	10	19	national	national	ADJ
ajtas-2988	10	20	research	research	PROPN
ajtas-2988	10	21	nuclear	nuclear	PROPN
ajtas-2988	10	22	university	university	PROPN
ajtas-2988	10	23	mephi	mephi	PROPN
ajtas-2988	10	24	department	department	PROPN
ajtas-2988	10	25	of	of	ADP
ajtas-2988	10	26	condensed	condense	VERB
ajtas-2988	10	27	matter	matter	NOUN
ajtas-2988	10	28	physics	physics	NOUN
ajtas-2988	10	29	,	,	PUNCT
ajtas-2988	10	30	moscow	moscow	PROPN
ajtas-2988	10	31	,	,	PUNCT
ajtas-2988	10	32	russia	russia	PROPN
ajtas-2988	10	33	2	2	NUM
ajtas-2988	10	34	karakalpak	karakalpak	PROPN
ajtas-2988	10	35	state	state	PROPN
ajtas-2988	10	36	university	university	PROPN
ajtas-2988	10	37	,	,	PUNCT
ajtas-2988	10	38	department	department	NOUN
ajtas-2988	10	39	of	of	ADP
ajtas-2988	10	40	physics	physics	PROPN
ajtas-2988	10	41	,	,	PUNCT
ajtas-2988	10	42	khayratdinkamalov@gmail.com	khayratdinkamalov@gmail.com	PROPN
ajtas-2988	10	43	3	3	NUM
ajtas-2988	10	44	karakalpak	karakalpak	PROPN
ajtas-2988	10	45	state	state	PROPN
ajtas-2988	10	46	university	university	PROPN
ajtas-2988	10	47	,	,	PUNCT
ajtas-2988	10	48	department	department	NOUN
ajtas-2988	10	49	of	of	ADP
ajtas-2988	10	50	physics	physics	PROPN
ajtas-2988	10	51	,	,	PUNCT
ajtas-2988	10	52	abdumuxammed2198@gmail.com	abdumuxammed2198@gmail.com	X
ajtas-2988	11	1	american	american	PROPN
ajtas-2988	11	2	journal	journal	PROPN
ajtas-2988	11	3	of	of	ADP
ajtas-2988	11	4	technology	technology	NOUN
ajtas-2988	11	5	and	and	CCONJ
ajtas-2988	11	6	applied	apply	VERB
ajtas-2988	11	7	sciences	science	NOUN
ajtas-2988	11	8	37	37	NUM
ajtas-2988	11	9	,	,	PUNCT
ajtas-2988	11	10	june	june	PROPN
ajtas-2988	11	11	2025	2025	NUM
ajtas-2988	11	12	p	p	NOUN
ajtas-2988	11	13	a	a	DET
ajtas-2988	11	14	g	g	NOUN
ajtas-2988	11	15	e	e	NOUN
ajtas-2988	11	16	|	|	ADV
ajtas-2988	11	17	11	11	NUM
ajtas-2988	11	18	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	11	19	electron	electron	NOUN
ajtas-2988	11	20	transport	transport	NOUN
ajtas-2988	11	21	,	,	PUNCT
ajtas-2988	11	22	making	make	VERB
ajtas-2988	11	23	it	it	PRON
ajtas-2988	11	24	essential	essential	ADJ
ajtas-2988	11	25	to	to	PART
ajtas-2988	11	26	incorporate	incorporate	VERB
ajtas-2988	11	27	statistical	statistical	ADJ
ajtas-2988	11	28	distributions	distribution	NOUN
ajtas-2988	11	29	such	such	ADJ
ajtas-2988	11	30	as	as	ADP
ajtas-2988	11	31	gamma	gamma	NOUN
ajtas-2988	11	32	functions	function	NOUN
ajtas-2988	11	33	to	to	PART
ajtas-2988	11	34	describe	describe	VERB
ajtas-2988	11	35	energy	energy	NOUN
ajtas-2988	11	36	broadening	broadening	NOUN
ajtas-2988	11	37	effects	effect	NOUN
ajtas-2988	11	38	.	.	PUNCT
ajtas-2988	12	1	this	this	DET
ajtas-2988	12	2	study	study	NOUN
ajtas-2988	12	3	presents	present	VERB
ajtas-2988	12	4	a	a	DET
ajtas-2988	12	5	numerical	numerical	ADJ
ajtas-2988	12	6	approach	approach	NOUN
ajtas-2988	12	7	to	to	ADP
ajtas-2988	12	8	analyzing	analyze	VERB
ajtas-2988	12	9	quantum	quantum	ADJ
ajtas-2988	12	10	transport	transport	NOUN
ajtas-2988	12	11	in	in	ADP
ajtas-2988	12	12	quantum	quantum	ADJ
ajtas-2988	12	13	dot	dot	NOUN
ajtas-2988	12	14	array	array	NOUN
ajtas-2988	12	15	fets	fet	NOUN
ajtas-2988	12	16	by	by	ADP
ajtas-2988	12	17	solving	solve	VERB
ajtas-2988	12	18	complex	complex	ADJ
ajtas-2988	12	19	nonlinear	nonlinear	ADJ
ajtas-2988	12	20	equations	equation	NOUN
ajtas-2988	12	21	using	use	VERB
ajtas-2988	12	22	newton	newton	PROPN
ajtas-2988	12	23	’s	’s	PART
ajtas-2988	12	24	method	method	NOUN
ajtas-2988	12	25	.	.	PUNCT
ajtas-2988	13	1	the	the	DET
ajtas-2988	13	2	proposed	propose	VERB
ajtas-2988	13	3	model	model	NOUN
ajtas-2988	13	4	accounts	account	VERB
ajtas-2988	13	5	for	for	ADP
ajtas-2988	13	6	the	the	DET
ajtas-2988	13	7	impact	impact	NOUN
ajtas-2988	13	8	of	of	ADP
ajtas-2988	13	9	quantum	quantum	ADJ
ajtas-2988	13	10	dot	dot	NOUN
ajtas-2988	13	11	size	size	NOUN
ajtas-2988	13	12	variations	variation	NOUN
ajtas-2988	13	13	,	,	PUNCT
ajtas-2988	13	14	energy	energy	NOUN
ajtas-2988	13	15	distribution	distribution	NOUN
ajtas-2988	13	16	effects	effect	NOUN
ajtas-2988	13	17	,	,	PUNCT
ajtas-2988	13	18	electrostatic	electrostatic	ADJ
ajtas-2988	13	19	potential	potential	ADJ
ajtas-2988	13	20	variations	variation	NOUN
ajtas-2988	13	21	,	,	PUNCT
ajtas-2988	13	22	and	and	CCONJ
ajtas-2988	13	23	their	their	PRON
ajtas-2988	13	24	influence	influence	NOUN
ajtas-2988	13	25	on	on	ADP
ajtas-2988	13	26	charge	charge	NOUN
ajtas-2988	13	27	transport	transport	NOUN
ajtas-2988	13	28	.	.	PUNCT
ajtas-2988	14	1	by	by	ADP
ajtas-2988	14	2	integrating	integrate	VERB
ajtas-2988	14	3	these	these	DET
ajtas-2988	14	4	factors	factor	NOUN
ajtas-2988	14	5	,	,	PUNCT
ajtas-2988	14	6	we	we	PRON
ajtas-2988	14	7	aim	aim	VERB
ajtas-2988	14	8	to	to	PART
ajtas-2988	14	9	provide	provide	VERB
ajtas-2988	14	10	a	a	DET
ajtas-2988	14	11	more	more	ADV
ajtas-2988	14	12	comprehensive	comprehensive	ADJ
ajtas-2988	14	13	understanding	understanding	NOUN
ajtas-2988	14	14	of	of	ADP
ajtas-2988	14	15	the	the	DET
ajtas-2988	14	16	physical	physical	ADJ
ajtas-2988	14	17	mechanisms	mechanism	NOUN
ajtas-2988	14	18	governing	govern	VERB
ajtas-2988	14	19	such	such	ADJ
ajtas-2988	14	20	devices	device	NOUN
ajtas-2988	14	21	and	and	CCONJ
ajtas-2988	14	22	to	to	PART
ajtas-2988	14	23	enhance	enhance	VERB
ajtas-2988	14	24	predictive	predictive	ADJ
ajtas-2988	14	25	modeling	modeling	NOUN
ajtas-2988	14	26	for	for	ADP
ajtas-2988	14	27	their	their	PRON
ajtas-2988	14	28	future	future	ADJ
ajtas-2988	14	29	applications	application	NOUN
ajtas-2988	14	30	in	in	ADP
ajtas-2988	14	31	nanoelectronics	nanoelectronic	NOUN
ajtas-2988	14	32	.	.	PUNCT
ajtas-2988	15	1	literature	literature	PROPN
ajtas-2988	15	2	review	review	PROPN
ajtas-2988	15	3	initially	initially	ADV
ajtas-2988	15	4	,	,	PUNCT
ajtas-2988	15	5	i	i	PRON
ajtas-2988	15	6	decided	decide	VERB
ajtas-2988	15	7	to	to	PART
ajtas-2988	15	8	review	review	VERB
ajtas-2988	15	9	several	several	ADJ
ajtas-2988	15	10	books	book	NOUN
ajtas-2988	15	11	and	and	CCONJ
ajtas-2988	15	12	articles	article	NOUN
ajtas-2988	15	13	for	for	ADP
ajtas-2988	15	14	my	my	PRON
ajtas-2988	15	15	research	research	NOUN
ajtas-2988	15	16	.	.	PUNCT
ajtas-2988	16	1	the	the	DET
ajtas-2988	16	2	most	most	ADV
ajtas-2988	16	3	suitable	suitable	ADJ
ajtas-2988	16	4	book	book	NOUN
ajtas-2988	16	5	is	be	AUX
ajtas-2988	16	6	.	.	PUNCT
ajtas-2988	17	1	in	in	ADP
ajtas-2988	17	2	this	this	DET
ajtas-2988	17	3	book	book	NOUN
ajtas-2988	17	4	,	,	PUNCT
ajtas-2988	17	5	a	a	DET
ajtas-2988	17	6	more	more	ADV
ajtas-2988	17	7	detailed	detailed	ADJ
ajtas-2988	17	8	and	and	CCONJ
ajtas-2988	17	9	specific	specific	ADJ
ajtas-2988	17	10	explanation	explanation	NOUN
ajtas-2988	17	11	relevant	relevant	ADJ
ajtas-2988	17	12	to	to	ADP
ajtas-2988	17	13	my	my	PRON
ajtas-2988	17	14	work	work	NOUN
ajtas-2988	17	15	is	be	AUX
ajtas-2988	17	16	provided	provide	VERB
ajtas-2988	17	17	.	.	PUNCT
ajtas-2988	18	1	the	the	DET
ajtas-2988	18	2	research	research	NOUN
ajtas-2988	18	3	focuses	focus	VERB
ajtas-2988	18	4	on	on	ADP
ajtas-2988	18	5	studying	study	VERB
ajtas-2988	18	6	the	the	DET
ajtas-2988	18	7	source	source	NOUN
ajtas-2988	18	8	and	and	CCONJ
ajtas-2988	18	9	drain	drain	NOUN
ajtas-2988	18	10	of	of	ADP
ajtas-2988	18	11	a	a	DET
ajtas-2988	18	12	field	field	NOUN
ajtas-2988	18	13	-	-	PUNCT
ajtas-2988	18	14	effect	effect	NOUN
ajtas-2988	18	15	transistor	transistor	NOUN
ajtas-2988	18	16	as	as	ADP
ajtas-2988	18	17	a	a	DET
ajtas-2988	18	18	double	double	ADJ
ajtas-2988	18	19	-	-	PUNCT
ajtas-2988	18	20	barrier	barrier	NOUN
ajtas-2988	18	21	structure	structure	NOUN
ajtas-2988	18	22	.	.	PUNCT
ajtas-2988	19	1	between	between	ADP
ajtas-2988	19	2	the	the	DET
ajtas-2988	19	3	source	source	NOUN
ajtas-2988	19	4	and	and	CCONJ
ajtas-2988	19	5	drain	drain	NOUN
ajtas-2988	19	6	,	,	PUNCT
ajtas-2988	19	7	there	there	PRON
ajtas-2988	19	8	is	be	VERB
ajtas-2988	19	9	a	a	DET
ajtas-2988	19	10	quantum	quantum	ADJ
ajtas-2988	19	11	dot	dot	NOUN
ajtas-2988	19	12	array	array	NOUN
ajtas-2988	19	13	,	,	PUNCT
ajtas-2988	19	14	and	and	CCONJ
ajtas-2988	19	15	the	the	DET
ajtas-2988	19	16	goal	goal	NOUN
ajtas-2988	19	17	is	be	AUX
ajtas-2988	19	18	to	to	PART
ajtas-2988	19	19	analyze	analyze	VERB
ajtas-2988	19	20	and	and	CCONJ
ajtas-2988	19	21	compare	compare	VERB
ajtas-2988	19	22	various	various	ADJ
ajtas-2988	19	23	characteristics	characteristic	NOUN
ajtas-2988	19	24	such	such	ADJ
ajtas-2988	19	25	as	as	ADP
ajtas-2988	19	26	the	the	DET
ajtas-2988	19	27	current	current	ADJ
ajtas-2988	19	28	-	-	PUNCT
ajtas-2988	19	29	voltage	voltage	NOUN
ajtas-2988	19	30	(	(	PUNCT
ajtas-2988	19	31	i	i	NOUN
ajtas-2988	19	32	-	-	PUNCT
ajtas-2988	19	33	v	v	NOUN
ajtas-2988	19	34	)	)	PUNCT
ajtas-2988	19	35	characteristics	characteristic	NOUN
ajtas-2988	19	36	,	,	PUNCT
ajtas-2988	19	37	charge	charge	NOUN
ajtas-2988	19	38	transport	transport	NOUN
ajtas-2988	19	39	,	,	PUNCT
ajtas-2988	19	40	and	and	CCONJ
ajtas-2988	19	41	energy	energy	NOUN
ajtas-2988	19	42	distribution	distribution	NOUN
ajtas-2988	19	43	in	in	ADP
ajtas-2988	19	44	quantum	quantum	ADJ
ajtas-2988	19	45	dot	dot	NOUN
ajtas-2988	19	46	array	array	NOUN
ajtas-2988	19	47	field	field	NOUN
ajtas-2988	19	48	-	-	PUNCT
ajtas-2988	19	49	effect	effect	NOUN
ajtas-2988	19	50	transistors	transistor	NOUN
ajtas-2988	19	51	,	,	PUNCT
ajtas-2988	19	52	among	among	ADP
ajtas-2988	19	53	other	other	ADJ
ajtas-2988	19	54	aspects	aspect	NOUN
ajtas-2988	19	55	.	.	PUNCT
ajtas-2988	20	1	in	in	ADP
ajtas-2988	20	2	the	the	DET
ajtas-2988	20	3	matrix	matrix	NOUN
ajtas-2988	20	4	model	model	NOUN
ajtas-2988	20	5	(	(	PUNCT
ajtas-2988	20	6	fig	fig	NOUN
ajtas-2988	20	7	.	.	NOUN
ajtas-2988	20	8	1	1	NUM
ajtas-2988	20	9	)	)	PUNCT
ajtas-2988	20	10	,	,	PUNCT
ajtas-2988	20	11	an	an	DET
ajtas-2988	20	12	additional	additional	ADJ
ajtas-2988	20	13	third	third	ADJ
ajtas-2988	20	14	“	"	PUNCT
ajtas-2988	20	15	contact	contact	NOUN
ajtas-2988	20	16	,	,	PUNCT
ajtas-2988	20	17	”	"	PUNCT
ajtas-2988	20	18	referred	refer	VERB
ajtas-2988	20	19	to	to	ADP
ajtas-2988	20	20	as	as	ADP
ajtas-2988	20	21	the	the	DET
ajtas-2988	20	22	s	s	NOUN
ajtas-2988	20	23	-	-	NOUN
ajtas-2988	20	24	contact	contact	NOUN
ajtas-2988	20	25	,	,	PUNCT
ajtas-2988	20	26	has	have	AUX
ajtas-2988	20	27	been	be	AUX
ajtas-2988	20	28	introduced	introduce	VERB
ajtas-2988	20	29	to	to	PART
ajtas-2988	20	30	represent	represent	VERB
ajtas-2988	20	31	scattering	scatter	VERB
ajtas-2988	20	32	processes	process	NOUN
ajtas-2988	20	33	.	.	PUNCT
ajtas-2988	21	1	this	this	DET
ajtas-2988	21	2	inclusion	inclusion	NOUN
ajtas-2988	21	3	is	be	AUX
ajtas-2988	21	4	essential	essential	ADJ
ajtas-2988	21	5	for	for	ADP
ajtas-2988	21	6	establishing	establish	VERB
ajtas-2988	21	7	the	the	DET
ajtas-2988	21	8	transition	transition	NOUN
ajtas-2988	21	9	to	to	ADP
ajtas-2988	21	10	ohm	ohm	PROPN
ajtas-2988	21	11	’s	’s	PART
ajtas-2988	21	12	law	law	NOUN
ajtas-2988	21	13	.	.	PUNCT
ajtas-2988	22	1	the	the	DET
ajtas-2988	22	2	formulation	formulation	NOUN
ajtas-2988	22	3	presented	present	VERB
ajtas-2988	22	4	in	in	ADP
ajtas-2988	22	5	fig	fig	NOUN
ajtas-2988	22	6	.	.	PUNCT
ajtas-2988	23	1	1	1	NUM
ajtas-2988	23	2	a	a	PRON
ajtas-2988	23	3	can	can	AUX
ajtas-2988	23	4	be	be	AUX
ajtas-2988	23	5	considered	consider	VERB
ajtas-2988	23	6	a	a	DET
ajtas-2988	23	7	special	special	ADJ
ajtas-2988	23	8	case	case	NOUN
ajtas-2988	23	9	of	of	ADP
ajtas-2988	23	10	this	this	DET
ajtas-2988	23	11	general	general	ADJ
ajtas-2988	23	12	formalism	formalism	NOUN
ajtas-2988	23	13	,	,	PUNCT
ajtas-2988	23	14	where	where	SCONJ
ajtas-2988	23	15	all	all	DET
ajtas-2988	23	16	matrices	matrix	NOUN
ajtas-2988	23	17	are	be	AUX
ajtas-2988	23	18	of	of	ADP
ajtas-2988	23	19	size	size	NOUN
ajtas-2988	23	20	1	1	NUM
ajtas-2988	23	21	×	×	NOUN
ajtas-2988	23	22	1	1	NUM
ajtas-2988	23	23	.	.	PUNCT
ajtas-2988	24	1	if	if	SCONJ
ajtas-2988	24	2	there	there	PRON
ajtas-2988	24	3	exists	exist	VERB
ajtas-2988	24	4	a	a	DET
ajtas-2988	24	5	representation	representation	NOUN
ajtas-2988	24	6	that	that	PRON
ajtas-2988	24	7	diagonalizes	diagonalize	VERB
ajtas-2988	24	8	all	all	DET
ajtas-2988	24	9	the	the	DET
ajtas-2988	24	10	matrices	matrix	NOUN
ajtas-2988	24	11	,	,	PUNCT
ajtas-2988	24	12	then	then	ADV
ajtas-2988	24	13	the	the	DET
ajtas-2988	24	14	matrix	matrix	NOUN
ajtas-2988	24	15	model	model	NOUN
ajtas-2988	24	16	without	without	ADP
ajtas-2988	24	17	the	the	DET
ajtas-2988	24	18	s	s	NOUN
ajtas-2988	24	19	-	-	NOUN
ajtas-2988	24	20	contact	contact	NOUN
ajtas-2988	24	21	can	can	AUX
ajtas-2988	24	22	be	be	AUX
ajtas-2988	24	23	directly	directly	ADV
ajtas-2988	24	24	obtained	obtain	VERB
ajtas-2988	24	25	from	from	ADP
ajtas-2988	24	26	fig	fig	NOUN
ajtas-2988	24	27	.	.	PUNCT
ajtas-2988	25	1	1	1	X
ajtas-2988	25	2	.	.	X
ajtas-2988	25	3	figure	figure	NOUN
ajtas-2988	25	4	1	1	NUM
ajtas-2988	25	5	:	:	PUNCT
ajtas-2988	25	6	from	from	ADP
ajtas-2988	25	7	numbers	number	NOUN
ajtas-2988	25	8	to	to	ADP
ajtas-2988	25	9	matrices	matrix	NOUN
ajtas-2988	25	10	:	:	PUNCT
ajtas-2988	25	11	flux	flux	NOUN
ajtas-2988	25	12	of	of	ADP
ajtas-2988	25	13	electrons	electron	NOUN
ajtas-2988	25	14	into	into	ADP
ajtas-2988	25	15	and	and	CCONJ
ajtas-2988	25	16	out	out	ADP
ajtas-2988	25	17	of	of	ADP
ajtas-2988	25	18	a	a	DET
ajtas-2988	25	19	device	device	NOUN
ajtas-2988	25	20	at	at	ADP
ajtas-2988	25	21	the	the	DET
ajtas-2988	25	22	source	source	NOUN
ajtas-2988	25	23	and	and	CCONJ
ajtas-2988	25	24	drain	drain	NOUN
ajtas-2988	25	25	ends	end	VERB
ajtas-2988	25	26	.	.	PUNCT
ajtas-2988	26	1	(	(	PUNCT
ajtas-2988	26	2	a	a	X
ajtas-2988	26	3	)	)	PUNCT
ajtas-2988	26	4	simple	simple	ADJ
ajtas-2988	26	5	result	result	NOUN
ajtas-2988	26	6	for	for	ADP
ajtas-2988	26	7	independent	independent	ADJ
ajtas-2988	26	8	level	level	NOUN
ajtas-2988	26	9	model	model	NOUN
ajtas-2988	26	10	,	,	PUNCT
ajtas-2988	26	11	(	(	PUNCT
ajtas-2988	26	12	b	b	X
ajtas-2988	26	13	)	)	PUNCT
ajtas-2988	26	14	general	general	ADJ
ajtas-2988	26	15	matrix	matrix	NOUN
ajtas-2988	26	16	model	model	NOUN
ajtas-2988	26	17	,	,	PUNCT
ajtas-2988	26	18	to	to	PART
ajtas-2988	26	19	be	be	AUX
ajtas-2988	26	20	developed	develop	VERB
ajtas-2988	26	21	in	in	ADP
ajtas-2988	26	22	this	this	DET
ajtas-2988	26	23	book	book	NOUN
ajtas-2988	26	24	.	.	PUNCT
ajtas-2988	27	1	without	without	ADP
ajtas-2988	27	2	the	the	DET
ajtas-2988	27	3	“	"	PUNCT
ajtas-2988	27	4	s	s	NOUN
ajtas-2988	27	5	-	-	NOUN
ajtas-2988	27	6	contact	contact	NOUN
ajtas-2988	27	7	,	,	PUNCT
ajtas-2988	27	8	”	"	PUNCT
ajtas-2988	27	9	this	this	DET
ajtas-2988	27	10	model	model	NOUN
ajtas-2988	27	11	is	be	AUX
ajtas-2988	27	12	equivalent	equivalent	ADJ
ajtas-2988	27	13	to	to	ADP
ajtas-2988	27	14	that	that	PRON
ajtas-2988	27	15	of	of	ADP
ajtas-2988	27	16	meir	meir	PROPN
ajtas-2988	27	17	and	and	CCONJ
ajtas-2988	27	18	wingreen	wingreen	PROPN
ajtas-2988	27	19	(	(	PUNCT
ajtas-2988	27	20	1992	1992	NUM
ajtas-2988	27	21	)	)	PUNCT
ajtas-2988	27	22	.	.	PUNCT
ajtas-2988	28	1	the	the	DET
ajtas-2988	28	2	“	"	PUNCT
ajtas-2988	28	3	samerican	samerican	PROPN
ajtas-2988	28	4	journal	journal	PROPN
ajtas-2988	28	5	of	of	ADP
ajtas-2988	28	6	technology	technology	NOUN
ajtas-2988	28	7	and	and	CCONJ
ajtas-2988	28	8	applied	apply	VERB
ajtas-2988	28	9	sciences	science	NOUN
ajtas-2988	28	10	37	37	NUM
ajtas-2988	28	11	,	,	PUNCT
ajtas-2988	28	12	june	june	PROPN
ajtas-2988	28	13	2025	2025	NUM
ajtas-2988	28	14	p	p	NOUN
ajtas-2988	28	15	a	a	DET
ajtas-2988	28	16	g	g	NOUN
ajtas-2988	28	17	e	e	NOUN
ajtas-2988	28	18	|	|	ADV
ajtas-2988	28	19	12	12	NUM
ajtas-2988	28	20	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	28	21	contact	contact	NOUN
ajtas-2988	28	22	”	"	PUNCT
ajtas-2988	28	23	distributed	distribute	VERB
ajtas-2988	28	24	throughout	throughout	ADP
ajtas-2988	28	25	the	the	DET
ajtas-2988	28	26	channel	channel	NOUN
ajtas-2988	28	27	describes	describe	VERB
ajtas-2988	28	28	incoherent	incoherent	ADJ
ajtas-2988	28	29	scattering	scattering	NOUN
ajtas-2988	28	30	processes	process	NOUN
ajtas-2988	28	31	.	.	PUNCT
ajtas-2988	29	1	in	in	ADP
ajtas-2988	29	2	general	general	ADJ
ajtas-2988	29	3	,	,	PUNCT
ajtas-2988	29	4	this	this	DET
ajtas-2988	29	5	“	"	PUNCT
ajtas-2988	29	6	contact	contact	NOUN
ajtas-2988	29	7	”	"	PUNCT
ajtas-2988	29	8	can	can	AUX
ajtas-2988	29	9	not	not	PART
ajtas-2988	29	10	be	be	AUX
ajtas-2988	29	11	described	describe	VERB
ajtas-2988	29	12	by	by	ADP
ajtas-2988	29	13	a	a	DET
ajtas-2988	29	14	fermi	fermi	NOUN
ajtas-2988	29	15	function	function	NOUN
ajtas-2988	29	16	,	,	PUNCT
ajtas-2988	29	17	unlike	unlike	ADP
ajtas-2988	29	18	the	the	DET
ajtas-2988	29	19	real	real	ADJ
ajtas-2988	29	20	contacts	contact	NOUN
ajtas-2988	29	21	.	.	PUNCT
ajtas-2988	30	1	theoretical	theoretical	ADJ
ajtas-2988	30	2	background	background	NOUN
ajtas-2988	30	3	the	the	DET
ajtas-2988	30	4	model	model	NOUN
ajtas-2988	30	5	presented	present	VERB
ajtas-2988	30	6	in	in	ADP
ajtas-2988	30	7	fig	fig	NOUN
ajtas-2988	30	8	.	.	PUNCT
ajtas-2988	31	1	1	1	NUM
ajtas-2988	31	2	b	b	NOUN
ajtas-2988	31	3	,	,	PUNCT
ajtas-2988	31	4	without	without	ADP
ajtas-2988	31	5	the	the	DET
ajtas-2988	31	6	s	s	NOUN
ajtas-2988	31	7	-	-	NOUN
ajtas-2988	31	8	contact	contact	NOUN
ajtas-2988	31	9	,	,	PUNCT
ajtas-2988	31	10	is	be	AUX
ajtas-2988	31	11	frequently	frequently	ADV
ajtas-2988	31	12	used	use	VERB
ajtas-2988	31	13	to	to	PART
ajtas-2988	31	14	analyze	analyze	VERB
ajtas-2988	31	15	small	small	ADJ
ajtas-2988	31	16	devices	device	NOUN
ajtas-2988	31	17	.	.	PUNCT
ajtas-2988	32	1	in	in	ADP
ajtas-2988	32	2	this	this	DET
ajtas-2988	32	3	form	form	NOUN
ajtas-2988	32	4	,	,	PUNCT
ajtas-2988	32	5	it	it	PRON
ajtas-2988	32	6	is	be	AUX
ajtas-2988	32	7	identical	identical	ADJ
ajtas-2988	32	8	to	to	ADP
ajtas-2988	32	9	the	the	DET
ajtas-2988	32	10	result	result	NOUN
ajtas-2988	32	11	obtained	obtain	VERB
ajtas-2988	32	12	by	by	ADP
ajtas-2988	32	13	meir	meir	PROPN
ajtas-2988	32	14	and	and	CCONJ
ajtas-2988	32	15	wingreen	wingreen	PROPN
ajtas-2988	32	16	(	(	PUNCT
ajtas-2988	32	17	1992	1992	NUM
ajtas-2988	32	18	)	)	PUNCT
ajtas-2988	32	19	,	,	PUNCT
ajtas-2988	32	20	following	follow	VERB
ajtas-2988	32	21	the	the	DET
ajtas-2988	32	22	method	method	NOUN
ajtas-2988	32	23	of	of	ADP
ajtas-2988	32	24	caroli	caroli	PROPN
ajtas-2988	32	25	et	et	PROPN
ajtas-2988	32	26	al	al	PROPN
ajtas-2988	32	27	.	.	PROPN
ajtas-2988	33	1	(	(	PUNCT
ajtas-2988	33	2	1972	1972	NUM
ajtas-2988	33	3	)	)	PUNCT
ajtas-2988	33	4	,	,	PUNCT
ajtas-2988	33	5	which	which	PRON
ajtas-2988	33	6	is	be	AUX
ajtas-2988	33	7	based	base	VERB
ajtas-2988	33	8	on	on	ADP
ajtas-2988	33	9	the	the	DET
ajtas-2988	33	10	non	non	ADJ
ajtas-2988	33	11	-	-	ADJ
ajtas-2988	33	12	equilibrium	equilibrium	ADJ
ajtas-2988	33	13	green	green	NOUN
ajtas-2988	33	14	’s	’s	PART
ajtas-2988	33	15	function	function	NOUN
ajtas-2988	33	16	(	(	PUNCT
ajtas-2988	33	17	negf	negf	NOUN
ajtas-2988	33	18	)	)	PUNCT
ajtas-2988	33	19	formalism	formalism	NOUN
ajtas-2988	33	20	.	.	PUNCT
ajtas-2988	34	1	to	to	PART
ajtas-2988	34	2	make	make	VERB
ajtas-2988	34	3	this	this	DET
ajtas-2988	34	4	approach	approach	NOUN
ajtas-2988	34	5	accessible	accessible	ADJ
ajtas-2988	34	6	to	to	ADP
ajtas-2988	34	7	readers	reader	NOUN
ajtas-2988	34	8	unfamiliar	unfamiliar	ADJ
ajtas-2988	34	9	with	with	ADP
ajtas-2988	34	10	advanced	advanced	ADJ
ajtas-2988	34	11	many	many	ADJ
ajtas-2988	34	12	-	-	PUNCT
ajtas-2988	34	13	body	body	NOUN
ajtas-2988	34	14	physics	physics	NOUN
ajtas-2988	34	15	,	,	PUNCT
ajtas-2988	34	16	i	i	PRON
ajtas-2988	34	17	will	will	AUX
ajtas-2988	34	18	derive	derive	VERB
ajtas-2988	34	19	these	these	DET
ajtas-2988	34	20	results	result	NOUN
ajtas-2988	34	21	using	use	VERB
ajtas-2988	34	22	elementary	elementary	ADJ
ajtas-2988	34	23	arguments	argument	NOUN
ajtas-2988	34	24	.	.	PUNCT
ajtas-2988	35	1	previous	previous	ADJ
ajtas-2988	35	2	studies	study	NOUN
ajtas-2988	35	3	have	have	AUX
ajtas-2988	35	4	explored	explore	VERB
ajtas-2988	35	5	numerical	numerical	ADJ
ajtas-2988	35	6	methods	method	NOUN
ajtas-2988	35	7	for	for	ADP
ajtas-2988	35	8	solving	solve	VERB
ajtas-2988	35	9	semiconductor	semiconductor	NOUN
ajtas-2988	35	10	equations	equation	NOUN
ajtas-2988	35	11	.	.	PUNCT
ajtas-2988	36	1	the	the	DET
ajtas-2988	36	2	application	application	NOUN
ajtas-2988	36	3	of	of	ADP
ajtas-2988	36	4	newton	newton	PROPN
ajtas-2988	36	5	’s	’s	PART
ajtas-2988	36	6	method	method	NOUN
ajtas-2988	36	7	in	in	ADP
ajtas-2988	36	8	quantum	quantum	ADJ
ajtas-2988	36	9	transport	transport	NOUN
ajtas-2988	36	10	simulations	simulation	NOUN
ajtas-2988	36	11	has	have	AUX
ajtas-2988	36	12	shown	show	VERB
ajtas-2988	36	13	significant	significant	ADJ
ajtas-2988	36	14	accuracy	accuracy	NOUN
ajtas-2988	36	15	and	and	CCONJ
ajtas-2988	36	16	computational	computational	ADJ
ajtas-2988	36	17	efficiency	efficiency	NOUN
ajtas-2988	36	18	.	.	PUNCT
ajtas-2988	37	1	recent	recent	ADJ
ajtas-2988	37	2	advancements	advancement	NOUN
ajtas-2988	37	3	in	in	ADP
ajtas-2988	37	4	matlab	matlab	PROPN
ajtas-2988	37	5	and	and	CCONJ
ajtas-2988	37	6	r	r	NOUN
ajtas-2988	37	7	have	have	AUX
ajtas-2988	37	8	facilitated	facilitate	VERB
ajtas-2988	37	9	the	the	DET
ajtas-2988	37	10	implementation	implementation	NOUN
ajtas-2988	37	11	of	of	ADP
ajtas-2988	37	12	such	such	ADJ
ajtas-2988	37	13	methods	method	NOUN
ajtas-2988	37	14	.	.	PUNCT
ajtas-2988	38	1	methodology	methodology	NOUN
ajtas-2988	38	2	to	to	PART
ajtas-2988	38	3	obtain	obtain	VERB
ajtas-2988	38	4	a	a	DET
ajtas-2988	38	5	high	high	ADJ
ajtas-2988	38	6	-	-	PUNCT
ajtas-2988	38	7	quality	quality	NOUN
ajtas-2988	38	8	dependence	dependence	NOUN
ajtas-2988	38	9	𝛾(𝐸	𝛾(𝐸	PROPN
ajtas-2988	38	10	)	)	PUNCT
ajtas-2988	39	1	,	,	PUNCT
ajtas-2988	39	2	let	let	VERB
ajtas-2988	39	3	us	we	PRON
ajtas-2988	39	4	consider	consider	VERB
ajtas-2988	39	5	a	a	DET
ajtas-2988	39	6	model	model	NOUN
ajtas-2988	39	7	of	of	ADP
ajtas-2988	39	8	a	a	DET
ajtas-2988	39	9	double	double	ADJ
ajtas-2988	39	10	-	-	PUNCT
ajtas-2988	39	11	barrier	barrier	NOUN
ajtas-2988	39	12	structure	structure	NOUN
ajtas-2988	39	13	.resonant	.resonant	NOUN
ajtas-2988	39	14	tunneling	tunneling	NOUN
ajtas-2988	39	15	occurs	occur	VERB
ajtas-2988	39	16	in	in	ADP
ajtas-2988	39	17	such	such	DET
ajtas-2988	39	18	a	a	DET
ajtas-2988	39	19	system	system	NOUN
ajtas-2988	39	20	.	.	PUNCT
ajtas-2988	40	1	figure	figure	NOUN
ajtas-2988	40	2	2	2	NUM
ajtas-2988	40	3	:	:	PUNCT
ajtas-2988	40	4	positioning	positioning	NOUN
ajtas-2988	40	5	of	of	ADP
ajtas-2988	40	6	the	the	DET
ajtas-2988	40	7	quantum	quantum	NOUN
ajtas-2988	40	8	dot	dot	NOUN
ajtas-2988	40	9	between	between	ADP
ajtas-2988	40	10	two	two	NUM
ajtas-2988	40	11	electrodes	electrode	NOUN
ajtas-2988	40	12	.	.	PUNCT
ajtas-2988	41	1	let	let	VERB
ajtas-2988	41	2	us	we	PRON
ajtas-2988	41	3	consider	consider	VERB
ajtas-2988	41	4	electron	electron	NOUN
ajtas-2988	41	5	transmission	transmission	NOUN
ajtas-2988	41	6	through	through	ADP
ajtas-2988	41	7	a	a	DET
ajtas-2988	41	8	double	double	ADJ
ajtas-2988	41	9	barrier	barrier	NOUN
ajtas-2988	41	10	described	describe	VERB
ajtas-2988	41	11	by	by	ADP
ajtas-2988	41	12	the	the	DET
ajtas-2988	41	13	following	follow	VERB
ajtas-2988	41	14	potential	potential	NOUN
ajtas-2988	41	15	:	:	PUNCT
ajtas-2988	42	1	𝑈(𝑥	𝑈(𝑥	NUM
ajtas-2988	42	2	)	)	PUNCT
ajtas-2988	42	3	=	=	SYM
ajtas-2988	42	4	𝛼1𝛿(𝑥	𝛼1𝛿(𝑥	X
ajtas-2988	42	5	)	)	PUNCT
ajtas-2988	42	6	+	+	NUM
ajtas-2988	42	7	𝛼2𝛿(𝑥	𝛼2𝛿(𝑥	ADJ
ajtas-2988	42	8	−	−	NUM
ajtas-2988	42	9	𝑎	𝑎	NOUN
ajtas-2988	42	10	)	)	PUNCT
ajtas-2988	42	11	compared	compare	VERB
ajtas-2988	42	12	to	to	ADP
ajtas-2988	42	13	a	a	DET
ajtas-2988	42	14	rectangular	rectangular	ADJ
ajtas-2988	42	15	barrier	barrier	NOUN
ajtas-2988	42	16	,	,	PUNCT
ajtas-2988	42	17	we	we	PRON
ajtas-2988	42	18	can	can	AUX
ajtas-2988	42	19	set	set	VERB
ajtas-2988	42	20	:	:	PUNCT
ajtas-2988	42	21	𝛼	𝛼	X
ajtas-2988	42	22	=	=	PUNCT
ajtas-2988	42	23	𝐻𝑤	𝐻𝑤	PROPN
ajtas-2988	42	24	where	where	SCONJ
ajtas-2988	42	25	𝐻	𝐻	PROPN
ajtas-2988	42	26	is	be	AUX
ajtas-2988	42	27	the	the	DET
ajtas-2988	42	28	barrier	barrier	NOUN
ajtas-2988	42	29	height	height	NOUN
ajtas-2988	42	30	(	(	PUNCT
ajtas-2988	42	31	potential	potential	ADJ
ajtas-2988	42	32	energy	energy	NOUN
ajtas-2988	42	33	in	in	ADP
ajtas-2988	42	34	ev	ev	NOUN
ajtas-2988	42	35	)	)	PUNCT
ajtas-2988	42	36	and	and	CCONJ
ajtas-2988	42	37	𝑤	𝑤	X
ajtas-2988	42	38	is	be	AUX
ajtas-2988	42	39	the	the	DET
ajtas-2988	42	40	barrier	barrier	NOUN
ajtas-2988	42	41	width	width	NOUN
ajtas-2988	42	42	(	(	PUNCT
ajtas-2988	42	43	in	in	ADP
ajtas-2988	42	44	nm	nm	NOUN
ajtas-2988	42	45	)	)	PUNCT
ajtas-2988	42	46	.	.	PUNCT
ajtas-2988	43	1	for	for	SCONJ
ajtas-2988	43	2	the	the	DET
ajtas-2988	43	3	deltabarrier	deltabarrier	NOUN
ajtas-2988	43	4	model	model	NOUN
ajtas-2988	43	5	to	to	PART
ajtas-2988	43	6	work	work	VERB
ajtas-2988	43	7	,	,	PUNCT
ajtas-2988	43	8	𝐻	𝐻	PROPN
ajtas-2988	43	9	must	must	AUX
ajtas-2988	43	10	be	be	AUX
ajtas-2988	43	11	large	large	ADJ
ajtas-2988	43	12	and	and	CCONJ
ajtas-2988	43	13	𝑤	𝑤	X
ajtas-2988	43	14	small	small	ADJ
ajtas-2988	43	15	.	.	PUNCT
ajtas-2988	44	1	for	for	ADP
ajtas-2988	44	2	a	a	DET
ajtas-2988	44	3	quantum	quantum	ADJ
ajtas-2988	44	4	dot	dot	NOUN
ajtas-2988	44	5	between	between	ADP
ajtas-2988	44	6	two	two	NUM
ajtas-2988	44	7	metallic	metallic	ADJ
ajtas-2988	44	8	electrodes	electrode	NOUN
ajtas-2988	44	9	,	,	PUNCT
ajtas-2988	44	10	𝐻	𝐻	PROPN
ajtas-2988	44	11	is	be	AUX
ajtas-2988	44	12	approximately	approximately	ADV
ajtas-2988	44	13	equal	equal	ADJ
ajtas-2988	44	14	to	to	ADP
ajtas-2988	44	15	the	the	DET
ajtas-2988	44	16	metal	metal	NOUN
ajtas-2988	44	17	work	work	NOUN
ajtas-2988	44	18	function	function	NOUN
ajtas-2988	44	19	or	or	CCONJ
ajtas-2988	44	20	the	the	DET
ajtas-2988	44	21	electron	electron	NOUN
ajtas-2988	44	22	affinity	affinity	NOUN
ajtas-2988	44	23	in	in	ADP
ajtas-2988	44	24	the	the	DET
ajtas-2988	44	25	semiconductor	semiconductor	NOUN
ajtas-2988	44	26	𝜒	𝜒	NOUN
ajtas-2988	44	27	(	(	PUNCT
ajtas-2988	44	28	around	around	ADV
ajtas-2988	44	29	4–5	4–5	PROPN
ajtas-2988	44	30	ev	ev	NOUN
ajtas-2988	44	31	)	)	PUNCT
ajtas-2988	44	32	,	,	PUNCT
ajtas-2988	44	33	while	while	SCONJ
ajtas-2988	44	34	𝑤	𝑤	VERB
ajtas-2988	44	35	=	=	PUNCT
ajtas-2988	44	36	(	(	PUNCT
ajtas-2988	44	37	𝑑	𝑑	PROPN
ajtas-2988	44	38	−	−	PROPN
ajtas-2988	44	39	𝑎)/2	𝑎)/2	PROPN
ajtas-2988	44	40	is	be	AUX
ajtas-2988	44	41	the	the	DET
ajtas-2988	44	42	distance	distance	NOUN
ajtas-2988	44	43	between	between	ADP
ajtas-2988	44	44	the	the	DET
ajtas-2988	44	45	metal	metal	NOUN
ajtas-2988	44	46	and	and	CCONJ
ajtas-2988	44	47	the	the	DET
ajtas-2988	44	48	quantum	quantum	NOUN
ajtas-2988	44	49	dot	dot	NOUN
ajtas-2988	44	50	.	.	PUNCT
ajtas-2988	45	1	the	the	DET
ajtas-2988	45	2	probability	probability	NOUN
ajtas-2988	45	3	current	current	NOUN
ajtas-2988	45	4	everywhere	everywhere	ADV
ajtas-2988	45	5	is	be	AUX
ajtas-2988	45	6	given	give	VERB
ajtas-2988	45	7	by	by	ADP
ajtas-2988	45	8	:	:	PUNCT
ajtas-2988	45	9	𝑗	𝑗	NOUN
ajtas-2988	45	10	=	=	PUNCT
ajtas-2988	45	11	ℏ𝑘	ℏ𝑘	ADP
ajtas-2988	45	12	𝑚	𝑚	PRON
ajtas-2988	45	13	|𝑇(𝐸)|2	|𝑇(𝐸)|2	NOUN
ajtas-2988	45	14	velocity	velocity	NOUN
ajtas-2988	45	15	:	:	PUNCT
ajtas-2988	45	16	𝑣	𝑣	AUX
ajtas-2988	45	17	=	=	PUNCT
ajtas-2988	45	18	𝑗	𝑗	X
ajtas-2988	45	19	𝜌	𝜌	X
ajtas-2988	45	20	for	for	ADP
ajtas-2988	45	21	a	a	DET
ajtas-2988	45	22	double	double	ADJ
ajtas-2988	45	23	delta	delta	NOUN
ajtas-2988	45	24	-	-	PUNCT
ajtas-2988	45	25	barrier	barrier	NOUN
ajtas-2988	45	26	with	with	ADP
ajtas-2988	45	27	spacing	space	VERB
ajtas-2988	45	28	𝑎	𝑎	PRON
ajtas-2988	45	29	and	and	CCONJ
ajtas-2988	45	30	parameters	parameter	NOUN
ajtas-2988	45	31	𝛼1	𝛼1	NOUN
ajtas-2988	45	32	,	,	PUNCT
ajtas-2988	45	33	𝛼2	𝛼2	PROPN
ajtas-2988	45	34	:	:	PUNCT
ajtas-2988	45	35	american	american	PROPN
ajtas-2988	45	36	journal	journal	PROPN
ajtas-2988	45	37	of	of	ADP
ajtas-2988	45	38	technology	technology	NOUN
ajtas-2988	45	39	and	and	CCONJ
ajtas-2988	45	40	applied	apply	VERB
ajtas-2988	45	41	sciences	science	NOUN
ajtas-2988	45	42	37	37	NUM
ajtas-2988	45	43	,	,	PUNCT
ajtas-2988	45	44	june	june	PROPN
ajtas-2988	45	45	2025	2025	NUM
ajtas-2988	45	46	p	p	NOUN
ajtas-2988	45	47	a	a	DET
ajtas-2988	45	48	g	g	NOUN
ajtas-2988	45	49	e	e	NOUN
ajtas-2988	45	50	|	|	ADV
ajtas-2988	45	51	13	13	NUM
ajtas-2988	45	52	www.americanjournal.org	www.americanjournal.org	PROPN
ajtas-2988	45	53	𝑇	𝑇	PROPN
ajtas-2988	45	54	=	=	SYM
ajtas-2988	45	55	1	1	NUM
ajtas-2988	45	56	(	(	PUNCT
ajtas-2988	45	57	1	1	NUM
ajtas-2988	45	58	+	+	CCONJ
ajtas-2988	45	59	𝑖𝑞1)(1	𝑖𝑞1)(1	ADJ
ajtas-2988	45	60	+	+	CCONJ
ajtas-2988	45	61	𝑖𝑞2	𝑖𝑞2	ADJ
ajtas-2988	45	62	)	)	PUNCT
ajtas-2988	45	63	+	+	CCONJ
ajtas-2988	45	64	𝑞1𝑞2𝑒2𝑖𝑘𝑎	𝑞1𝑞2𝑒2𝑖𝑘𝑎	X
ajtas-2988	45	65	where	where	SCONJ
ajtas-2988	45	66	:	:	PUNCT
ajtas-2988	45	67	𝑘	𝑘	X
ajtas-2988	45	68	=	=	PUNCT
ajtas-2988	45	69	√	√	PROPN
ajtas-2988	45	70	2𝑚(𝐸	2𝑚(𝐸	NUM
ajtas-2988	45	71	−	−	PROPN
ajtas-2988	45	72	𝐸𝑐	𝐸𝑐	PROPN
ajtas-2988	45	73	)	)	PUNCT
ajtas-2988	45	74	ℏ2	ℏ2	NOUN
ajtas-2988	45	75	𝑞1,2	𝑞1,2	ADJ
ajtas-2988	45	76	=	=	PUNCT
ajtas-2988	45	77	𝑚𝛼1,2	𝑚𝛼1,2	NOUN
ajtas-2988	45	78	ℏ2𝑘	ℏ2𝑘	NOUN
ajtas-2988	45	79	to	to	PART
ajtas-2988	45	80	find	find	VERB
ajtas-2988	45	81	the	the	DET
ajtas-2988	45	82	tunneling	tunneling	NOUN
ajtas-2988	45	83	time	time	NOUN
ajtas-2988	45	84	𝜏	𝜏	ADP
ajtas-2988	45	85	and	and	CCONJ
ajtas-2988	45	86	broadening	broaden	VERB
ajtas-2988	45	87	𝛾	𝛾	ADP
ajtas-2988	45	88	,	,	PUNCT
ajtas-2988	45	89	we	we	PRON
ajtas-2988	45	90	need	need	VERB
ajtas-2988	45	91	the	the	DET
ajtas-2988	45	92	following	follow	VERB
ajtas-2988	45	93	quantities	quantity	NOUN
ajtas-2988	45	94	:	:	PUNCT
ajtas-2988	45	95	𝐴	𝐴	PROPN
ajtas-2988	45	96	=	=	SYM
ajtas-2988	45	97	(	(	PUNCT
ajtas-2988	45	98	1	1	NUM
ajtas-2988	45	99	+	+	NUM
ajtas-2988	45	100	𝑖𝑞2)𝑇	𝑖𝑞2)𝑇	PROPN
ajtas-2988	45	101	𝐵	𝐵	NOUN
ajtas-2988	45	102	=	=	SYM
ajtas-2988	45	103	−𝑖𝑞2𝑒	−𝑖𝑞2𝑒	PROPN
ajtas-2988	45	104	2𝑖𝑘𝑎𝑇	2𝑖𝑘𝑎𝑇	NOUN
ajtas-2988	45	105	|𝐴|2	|𝐴|2	NOUN
ajtas-2988	45	106	=	=	SYM
ajtas-2988	45	107	(	(	PUNCT
ajtas-2988	45	108	1	1	NUM
ajtas-2988	45	109	+	+	NUM
ajtas-2988	45	110	𝑞2	𝑞2	NOUN
ajtas-2988	45	111	2)|𝑇|2	2)|𝑇|2	NUM
ajtas-2988	45	112	|𝐵|2	|𝐵|2	NOUN
ajtas-2988	45	113	=	=	SYM
ajtas-2988	45	114	𝑞2	𝑞2	NOUN
ajtas-2988	45	115	2|𝑇|2	2|𝑇|2	NUM
ajtas-2988	45	116	velocity	velocity	NOUN
ajtas-2988	45	117	:	:	PUNCT
ajtas-2988	45	118	𝑣	𝑣	X
ajtas-2988	45	119	=	=	PUNCT
ajtas-2988	45	120	ℏ𝑘	ℏ𝑘	PROPN
ajtas-2988	45	121	𝑚	𝑚	PROPN
ajtas-2988	45	122	|𝑇|2	|𝑇|2	PROPN
ajtas-2988	45	123	|𝐴|2	|𝐴|2	PROPN
ajtas-2988	45	124	+	+	CCONJ
ajtas-2988	45	125	|𝐵|2	|𝐵|2	PROPN
ajtas-2988	45	126	+	+	X
ajtas-2988	46	1	2|𝐴||𝐵|cos(2𝑘𝑥	2|𝐴||𝐵|cos(2𝑘𝑥	NUM
ajtas-2988	46	2	+	+	NUM
ajtas-2988	46	3	𝜙	𝜙	X
ajtas-2988	46	4	)	)	PUNCT
ajtas-2988	46	5	𝑣	𝑣	NOUN
ajtas-2988	47	1	=	=	PUNCT
ajtas-2988	47	2	ℏ𝑘	ℏ𝑘	NOUN
ajtas-2988	47	3	𝑚	𝑚	PROPN
ajtas-2988	47	4	1	1	NUM
ajtas-2988	47	5	1	1	NUM
ajtas-2988	47	6	+	+	NUM
ajtas-2988	47	7	2𝑞2	2𝑞2	NUM
ajtas-2988	47	8	2	2	NUM
ajtas-2988	47	9	+	+	CCONJ
ajtas-2988	47	10	2𝑞2√1	2𝑞2√1	NUM
ajtas-2988	47	11	+	+	NUM
ajtas-2988	47	12	𝑞2	𝑞2	NOUN
ajtas-2988	47	13	2cos(2𝑘𝑥	2cos(2𝑘𝑥	X
ajtas-2988	47	14	+	+	NUM
ajtas-2988	47	15	𝜙	𝜙	X
ajtas-2988	47	16	)	)	PUNCT
ajtas-2988	47	17	𝑑𝑥	𝑑𝑥	VERB
ajtas-2988	47	18	𝑑𝑡	𝑑𝑡	ADP
ajtas-2988	47	19	=	=	PRON
ajtas-2988	47	20	𝑣	𝑣	PRON
ajtas-2988	47	21	𝜏	𝜏	X
ajtas-2988	47	22	=	=	PUNCT
ajtas-2988	47	23	𝑚	𝑚	X
ajtas-2988	47	24	ℏ𝑘2	ℏ𝑘2	NOUN
ajtas-2988	48	1	[	[	X
ajtas-2988	48	2	(	(	PUNCT
ajtas-2988	48	3	1	1	NUM
ajtas-2988	48	4	+	+	NUM
ajtas-2988	48	5	2𝑞2	2𝑞2	NUM
ajtas-2988	48	6	2)𝑘𝑎	2)𝑘𝑎	NUM
ajtas-2988	48	7	+	+	NUM
ajtas-2988	48	8	2𝑞2√1	2𝑞2√1	NUM
ajtas-2988	49	1	+	+	NUM
ajtas-2988	49	2	𝑞2	𝑞2	NOUN
ajtas-2988	49	3	2cos(𝑘𝑎	2cos(𝑘𝑎	NUM
ajtas-2988	49	4	+	+	CCONJ
ajtas-2988	49	5	𝜙)sin(𝑘𝑎	𝜙)sin(𝑘𝑎	NOUN
ajtas-2988	49	6	)	)	PUNCT
ajtas-2988	49	7	]	]	PUNCT
ajtas-2988	50	1	𝛾	𝛾	NOUN
ajtas-2988	50	2	=	=	SYM
ajtas-2988	50	3	ℏ2𝑘2	ℏ2𝑘2	X
ajtas-2988	50	4	2𝑚	2𝑚	NOUN
ajtas-2988	50	5	𝑘2	𝑘2	PROPN
ajtas-2988	50	6	(	(	PUNCT
ajtas-2988	50	7	𝑘2	𝑘2	PROPN
ajtas-2988	50	8	+	+	CCONJ
ajtas-2988	50	9	2𝑝2	2𝑝2	NUM
ajtas-2988	50	10	2)𝑘𝑎	2)𝑘𝑎	NUM
ajtas-2988	50	11	+	+	CCONJ
ajtas-2988	50	12	2𝑝2√𝑘2	2𝑝2√𝑘2	NUM
ajtas-2988	50	13	+	+	NUM
ajtas-2988	50	14	𝑝2	𝑝2	NOUN
ajtas-2988	50	15	2cos(𝑘𝑎	2cos(𝑘𝑎	NUM
ajtas-2988	50	16	+	+	CCONJ
ajtas-2988	50	17	𝜙)sin(𝑘𝑎	𝜙)sin(𝑘𝑎	NOUN
ajtas-2988	50	18	)	)	PUNCT
ajtas-2988	50	19	define	define	NOUN
ajtas-2988	50	20	:	:	PUNCT
ajtas-2988	50	21	𝑃	𝑃	NOUN
ajtas-2988	50	22	=	=	SYM
ajtas-2988	50	23	1	1	NUM
ajtas-2988	50	24	+	+	NUM
ajtas-2988	50	25	𝑞1𝑞2[cos(2𝑘𝑎	𝑞1𝑞2[cos(2𝑘𝑎	PROPN
ajtas-2988	50	26	)	)	PUNCT
ajtas-2988	50	27	−	−	PROPN
ajtas-2988	50	28	1	1	NUM
ajtas-2988	50	29	]	]	X
ajtas-2988	50	30	𝑄	𝑄	PROPN
ajtas-2988	50	31	=	=	SYM
ajtas-2988	50	32	𝑞1	𝑞1	PROPN
ajtas-2988	50	33	+	+	NUM
ajtas-2988	50	34	𝑞2	𝑞2	NOUN
ajtas-2988	50	35	+	+	CCONJ
ajtas-2988	50	36	𝑞1𝑞2sin(2𝑘𝑎	𝑞1𝑞2sin(2𝑘𝑎	NOUN
ajtas-2988	50	37	)	)	PUNCT
ajtas-2988	50	38	𝐴	𝐴	PROPN
ajtas-2988	50	39	=	=	PUNCT
ajtas-2988	50	40	|𝑇|2(1	|𝑇|2(1	NOUN
ajtas-2988	50	41	+	+	CCONJ
ajtas-2988	50	42	𝑖𝑞2)(𝑃	𝑖𝑞2)(𝑃	SYM
ajtas-2988	50	43	−	−	NOUN
ajtas-2988	50	44	𝑖𝑄	𝑖𝑄	NOUN
ajtas-2988	50	45	)	)	PUNCT
ajtas-2988	50	46	𝐵	𝐵	NOUN
ajtas-2988	50	47	=	=	PUNCT
ajtas-2988	50	48	|𝑇|2𝑞2(sin2𝑘𝑎	|𝑇|2𝑞2(sin2𝑘𝑎	NOUN
ajtas-2988	50	49	−	−	NOUN
ajtas-2988	50	50	𝑖cos2𝑘𝑎)(𝑃	𝑖cos2𝑘𝑎)(𝑃	NOUN
ajtas-2988	50	51	−	−	PROPN
ajtas-2988	50	52	𝑖𝑄	𝑖𝑄	SYM
ajtas-2988	50	53	)	)	PUNCT
ajtas-2988	50	54	simplified	simplified	ADJ
ajtas-2988	50	55	expression	expression	NOUN
ajtas-2988	50	56	:	:	PUNCT
ajtas-2988	50	57	for	for	ADP
ajtas-2988	50	58	𝛼1	𝛼1	NOUN
ajtas-2988	50	59	=	=	SYM
ajtas-2988	50	60	𝛼2	𝛼2	PROPN
ajtas-2988	50	61	=	=	SYM
ajtas-2988	50	62	𝛼	𝛼	X
ajtas-2988	50	63	(	(	PUNCT
ajtas-2988	50	64	the	the	DET
ajtas-2988	50	65	quantum	quantum	NOUN
ajtas-2988	50	66	dot	dot	NOUN
ajtas-2988	50	67	is	be	AUX
ajtas-2988	50	68	located	locate	VERB
ajtas-2988	50	69	symmetrically	symmetrically	ADV
ajtas-2988	50	70	between	between	ADP
ajtas-2988	50	71	two	two	NUM
ajtas-2988	50	72	electrodes	electrode	NOUN
ajtas-2988	50	73	):	):	PUNCT
ajtas-2988	50	74	𝛾	𝛾	NOUN
ajtas-2988	50	75	=	=	SYM
ajtas-2988	50	76	ℏ2𝑘2	ℏ2𝑘2	PROPN
ajtas-2988	50	77	2𝑚∗	2𝑚∗	NUM
ajtas-2988	50	78	𝑘2	𝑘2	PROPN
ajtas-2988	50	79	(	(	PUNCT
ajtas-2988	50	80	𝑘2	𝑘2	PROPN
ajtas-2988	51	1	+	+	CCONJ
ajtas-2988	52	1	2𝑝2)𝑘𝑎	2𝑝2)𝑘𝑎	NUM
ajtas-2988	52	2	𝑘	𝑘	X
ajtas-2988	52	3	=	=	NOUN
ajtas-2988	52	4	√	√	PROPN
ajtas-2988	52	5	2𝑚(𝐸	2𝑚(𝐸	NUM
ajtas-2988	52	6	−	−	PROPN
ajtas-2988	52	7	𝐸𝑐	𝐸𝑐	PROPN
ajtas-2988	52	8	)	)	PUNCT
ajtas-2988	52	9	ℏ2	ℏ2	NOUN
ajtas-2988	52	10	𝑝	𝑝	NOUN
ajtas-2988	52	11	=	=	PUNCT
ajtas-2988	52	12	𝑚∗𝛼	𝑚∗𝛼	NUM
ajtas-2988	52	13	ℏ2	ℏ2	NOUN
ajtas-2988	52	14	for	for	ADP
ajtas-2988	52	15	gaas	gaas	NOUN
ajtas-2988	52	16	:	:	PUNCT
ajtas-2988	52	17	𝑚∗	𝑚∗	PROPN
ajtas-2988	52	18	𝑚0	𝑚0	NOUN
ajtas-2988	52	19	=	=	PROPN
ajtas-2988	52	20	0.067	0.067	NUM
ajtas-2988	52	21	american	american	PROPN
ajtas-2988	52	22	journal	journal	PROPN
ajtas-2988	52	23	of	of	ADP
ajtas-2988	52	24	technology	technology	NOUN
ajtas-2988	52	25	and	and	CCONJ
ajtas-2988	52	26	applied	apply	VERB
ajtas-2988	52	27	sciences	science	NOUN
ajtas-2988	52	28	37	37	NUM
ajtas-2988	52	29	,	,	PUNCT
ajtas-2988	52	30	june	june	PROPN
ajtas-2988	52	31	2025	2025	NUM
ajtas-2988	52	32	p	p	NOUN
ajtas-2988	52	33	a	a	DET
ajtas-2988	52	34	g	g	NOUN
ajtas-2988	52	35	e	e	NOUN
ajtas-2988	53	1	|	|	ADV
ajtas-2988	53	2	14	14	NUM
ajtas-2988	53	3	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	53	4	we	we	PRON
ajtas-2988	53	5	consider	consider	VERB
ajtas-2988	53	6	a	a	DET
ajtas-2988	53	7	series	series	NOUN
ajtas-2988	53	8	of	of	ADP
ajtas-2988	53	9	quantum	quantum	NOUN
ajtas-2988	53	10	dots	dot	NOUN
ajtas-2988	53	11	positioned	position	VERB
ajtas-2988	53	12	between	between	ADP
ajtas-2988	53	13	the	the	DET
ajtas-2988	53	14	electrodes	electrode	NOUN
ajtas-2988	53	15	and	and	CCONJ
ajtas-2988	53	16	not	not	PART
ajtas-2988	53	17	interacting	interact	VERB
ajtas-2988	53	18	with	with	ADP
ajtas-2988	53	19	each	each	DET
ajtas-2988	53	20	other	other	ADJ
ajtas-2988	53	21	.	.	PUNCT
ajtas-2988	54	1	the	the	DET
ajtas-2988	54	2	primary	primary	ADJ
ajtas-2988	54	3	influence	influence	NOUN
ajtas-2988	54	4	on	on	ADP
ajtas-2988	54	5	the	the	DET
ajtas-2988	54	6	i	i	PROPN
ajtas-2988	54	7	–	–	PUNCT
ajtas-2988	54	8	v	v	NUM
ajtas-2988	54	9	characteristics	characteristic	NOUN
ajtas-2988	54	10	will	will	AUX
ajtas-2988	54	11	be	be	AUX
ajtas-2988	54	12	the	the	DET
ajtas-2988	54	13	size	size	NOUN
ajtas-2988	54	14	variation	variation	NOUN
ajtas-2988	54	15	of	of	ADP
ajtas-2988	54	16	these	these	DET
ajtas-2988	54	17	dots	dot	NOUN
ajtas-2988	54	18	(	(	PUNCT
ajtas-2988	54	19	parameter	parameter	NOUN
ajtas-2988	54	20	𝑎	𝑎	NOUN
ajtas-2988	54	21	)	)	PUNCT
ajtas-2988	54	22	.	.	PUNCT
ajtas-2988	55	1	the	the	DET
ajtas-2988	55	2	distance	distance	NOUN
ajtas-2988	55	3	between	between	ADP
ajtas-2988	55	4	the	the	DET
ajtas-2988	55	5	electrodes	electrode	NOUN
ajtas-2988	55	6	remains	remain	VERB
ajtas-2988	55	7	constant	constant	ADJ
ajtas-2988	55	8	,	,	PUNCT
ajtas-2988	55	9	so	so	CCONJ
ajtas-2988	55	10	when	when	SCONJ
ajtas-2988	55	11	𝑎	𝑎	DET
ajtas-2988	55	12	changes	change	NOUN
ajtas-2988	55	13	,	,	PUNCT
ajtas-2988	55	14	the	the	DET
ajtas-2988	55	15	parameter	parameter	NOUN
ajtas-2988	55	16	𝑤	𝑤	ADP
ajtas-2988	55	17	=	=	PUNCT
ajtas-2988	55	18	(	(	PUNCT
ajtas-2988	55	19	𝑑	𝑑	PROPN
ajtas-2988	55	20	−	−	PROPN
ajtas-2988	55	21	𝑎)/2	𝑎)/2	PROPN
ajtas-2988	55	22	also	also	ADV
ajtas-2988	55	23	changes	change	VERB
ajtas-2988	55	24	,	,	PUNCT
ajtas-2988	55	25	which	which	PRON
ajtas-2988	55	26	in	in	ADP
ajtas-2988	55	27	turn	turn	NOUN
ajtas-2988	55	28	affects	affect	VERB
ajtas-2988	55	29	the	the	DET
ajtas-2988	55	30	parameter	parameter	NOUN
ajtas-2988	55	31	𝛼	𝛼	NOUN
ajtas-2988	55	32	in	in	ADP
ajtas-2988	55	33	the	the	DET
ajtas-2988	55	34	delta	delta	NOUN
ajtas-2988	55	35	-	-	PUNCT
ajtas-2988	55	36	barrier	barrier	NOUN
ajtas-2988	55	37	model	model	NOUN
ajtas-2988	55	38	between	between	ADP
ajtas-2988	55	39	the	the	DET
ajtas-2988	55	40	metal	metal	NOUN
ajtas-2988	55	41	and	and	CCONJ
ajtas-2988	55	42	the	the	DET
ajtas-2988	55	43	quantum	quantum	NOUN
ajtas-2988	55	44	dot	dot	NOUN
ajtas-2988	55	45	.	.	PUNCT
ajtas-2988	56	1	numerical	numerical	ADJ
ajtas-2988	56	2	methods	method	NOUN
ajtas-2988	56	3	and	and	CCONJ
ajtas-2988	56	4	algorithms	algorithm	NOUN
ajtas-2988	56	5	final	final	ADJ
ajtas-2988	56	6	formulas	formula	NOUN
ajtas-2988	56	7	step	step	NOUN
ajtas-2988	56	8	-	-	PUNCT
ajtas-2988	56	9	by	by	ADP
ajtas-2988	56	10	-	-	PUNCT
ajtas-2988	56	11	step	step	NOUN
ajtas-2988	56	12	𝐼(𝑉	𝐼(𝑉	NOUN
ajtas-2988	56	13	)	)	PUNCT
ajtas-2988	56	14	=	=	PUNCT
ajtas-2988	57	1	𝑒	𝑒	PROPN
ajtas-2988	57	2	2𝜏	2𝜏	NUM
ajtas-2988	57	3	∫	∫	NOUN
ajtas-2988	57	4	𝑑	𝑑	PROPN
ajtas-2988	57	5	∞	∞	PROPN
ajtas-2988	57	6	−∞	−∞	ADP
ajtas-2988	57	7	𝐸	𝐸	PROPN
ajtas-2988	57	8	 	 	SPACE
ajtas-2988	57	9	𝐷(𝐸	𝐷(𝐸	ADJ
ajtas-2988	57	10	−	−	PROPN
ajtas-2988	57	11	𝑈)(𝑓1(𝐸	𝑈)(𝑓1(𝐸	PROPN
ajtas-2988	57	12	)	)	PUNCT
ajtas-2988	57	13	−	−	ADP
ajtas-2988	57	14	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	57	15	)	)	PUNCT
ajtas-2988	57	16	)	)	PUNCT
ajtas-2988	58	1	𝑁	𝑁	NOUN
ajtas-2988	58	2	=	=	SYM
ajtas-2988	58	3	1	1	NUM
ajtas-2988	58	4	2	2	NUM
ajtas-2988	58	5	∫	∫	NOUN
ajtas-2988	58	6	𝑑	𝑑	PROPN
ajtas-2988	58	7	∞	∞	PROPN
ajtas-2988	58	8	−∞	−∞	ADP
ajtas-2988	58	9	𝐸	𝐸	PROPN
ajtas-2988	58	10	 	 	SPACE
ajtas-2988	58	11	𝐷(𝐸	𝐷(𝐸	ADJ
ajtas-2988	58	12	−	−	PROPN
ajtas-2988	58	13	𝑈)(𝑓1(𝐸	𝑈)(𝑓1(𝐸	PROPN
ajtas-2988	58	14	)	)	PUNCT
ajtas-2988	58	15	+	+	CCONJ
ajtas-2988	58	16	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	58	17	)	)	PUNCT
ajtas-2988	58	18	)	)	PUNCT
ajtas-2988	58	19	𝑓1(𝐸	𝑓1(𝐸	PROPN
ajtas-2988	58	20	)	)	PUNCT
ajtas-2988	58	21	=	=	SYM
ajtas-2988	58	22	1	1	NUM
ajtas-2988	58	23	1	1	NUM
ajtas-2988	58	24	+	+	NUM
ajtas-2988	58	25	exp	exp	NOUN
ajtas-2988	58	26	(	(	PUNCT
ajtas-2988	58	27	𝐸	𝐸	PROPN
ajtas-2988	58	28	−	−	PROPN
ajtas-2988	58	29	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	58	30	𝑘𝑇	𝑘𝑇	PROPN
ajtas-2988	58	31	)	)	PUNCT
ajtas-2988	58	32	,	,	PUNCT
ajtas-2988	58	33	 	 	SPACE
ajtas-2988	58	34	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	58	35	)	)	PUNCT
ajtas-2988	58	36	=	=	SYM
ajtas-2988	58	37	1	1	NUM
ajtas-2988	58	38	1	1	NUM
ajtas-2988	58	39	+	+	NUM
ajtas-2988	58	40	exp	exp	NOUN
ajtas-2988	58	41	(	(	PUNCT
ajtas-2988	58	42	𝐸	𝐸	PROPN
ajtas-2988	58	43	𝑘𝑇	𝑘𝑇	PROPN
ajtas-2988	58	44	)	)	PUNCT
ajtas-2988	58	45	𝐷(𝐸	𝐷(𝐸	NOUN
ajtas-2988	58	46	)	)	PUNCT
ajtas-2988	58	47	=	=	SYM
ajtas-2988	58	48	1	1	NUM
ajtas-2988	58	49	𝜋	𝜋	NOUN
ajtas-2988	58	50	⋅	⋅	PROPN
ajtas-2988	58	51	𝛾	𝛾	PROPN
ajtas-2988	58	52	(	(	PUNCT
ajtas-2988	58	53	𝐸	𝐸	PROPN
ajtas-2988	58	54	−	−	PROPN
ajtas-2988	58	55	𝐸0)2	𝐸0)2	NOUN
ajtas-2988	58	56	+	+	NUM
ajtas-2988	58	57	𝛾2	𝛾2	VERB
ajtas-2988	58	58	𝜏	𝜏	NOUN
ajtas-2988	58	59	=	=	PUNCT
ajtas-2988	58	60	𝛾	𝛾	ADP
ajtas-2988	58	61	2ℏ	2ℏ	NUM
ajtas-2988	58	62	𝑈	𝑈	NOUN
ajtas-2988	58	63	=	=	SYM
ajtas-2988	58	64	1	1	NUM
ajtas-2988	58	65	2	2	NUM
ajtas-2988	58	66	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	58	67	+	+	CCONJ
ajtas-2988	58	68	𝑈0δ𝑁	𝑈0δ𝑁	NOUN
ajtas-2988	58	69	δ𝑁	δ𝑁	NOUN
ajtas-2988	59	1	=	=	PUNCT
ajtas-2988	60	1	𝑁	𝑁	PROPN
ajtas-2988	60	2	−	−	PROPN
ajtas-2988	60	3	𝑁0	𝑁0	VERB
ajtas-2988	60	4	if	if	SCONJ
ajtas-2988	60	5	we	we	PRON
ajtas-2988	60	6	assume	assume	VERB
ajtas-2988	60	7	that	that	SCONJ
ajtas-2988	60	8	𝑁0	𝑁0	ADJ
ajtas-2988	60	9	corresponds	correspond	NOUN
ajtas-2988	60	10	to	to	ADP
ajtas-2988	60	11	zero	zero	NUM
ajtas-2988	60	12	bias	bias	NOUN
ajtas-2988	60	13	,	,	PUNCT
ajtas-2988	60	14	we	we	PRON
ajtas-2988	60	15	get	get	VERB
ajtas-2988	60	16	:	:	PUNCT
ajtas-2988	60	17	𝑁0	𝑁0	PROPN
ajtas-2988	60	18	=	=	PUNCT
ajtas-2988	60	19	∫	∫	PROPN
ajtas-2988	60	20	𝑑	𝑑	PROPN
ajtas-2988	60	21	∞	∞	PROPN
ajtas-2988	60	22	−∞	−∞	ADP
ajtas-2988	60	23	𝐸	𝐸	PROPN
ajtas-2988	60	24	 	 	SPACE
ajtas-2988	60	25	𝐷(𝐸)𝑓2(𝐸	𝐷(𝐸)𝑓2(𝐸	NOUN
ajtas-2988	60	26	)	)	PUNCT
ajtas-2988	60	27	𝑈0	𝑈0	NOUN
ajtas-2988	60	28	is	be	AUX
ajtas-2988	60	29	taken	take	VERB
ajtas-2988	60	30	as	as	ADP
ajtas-2988	60	31	a	a	DET
ajtas-2988	60	32	constant	constant	ADJ
ajtas-2988	60	33	depending	depend	VERB
ajtas-2988	60	34	on	on	ADP
ajtas-2988	60	35	the	the	DET
ajtas-2988	60	36	size	size	NOUN
ajtas-2988	60	37	and	and	CCONJ
ajtas-2988	60	38	shape	shape	NOUN
ajtas-2988	60	39	of	of	ADP
ajtas-2988	60	40	the	the	DET
ajtas-2988	60	41	quantum	quantum	NOUN
ajtas-2988	60	42	dot	dot	NOUN
ajtas-2988	60	43	.	.	PUNCT
ajtas-2988	61	1	for	for	ADP
ajtas-2988	61	2	a	a	DET
ajtas-2988	61	3	spherical	spherical	ADJ
ajtas-2988	61	4	quantum	quantum	NOUN
ajtas-2988	61	5	dot	dot	NOUN
ajtas-2988	61	6	with	with	ADP
ajtas-2988	61	7	radius	radius	NOUN
ajtas-2988	61	8	𝑅	𝑅	PROPN
ajtas-2988	61	9	(	(	PUNCT
ajtas-2988	61	10	in	in	ADP
ajtas-2988	61	11	nanometers	nanometer	NOUN
ajtas-2988	61	12	):	):	PUNCT
ajtas-2988	61	13	𝑈0	𝑈0	NOUN
ajtas-2988	61	14	≈	≈	PROPN
ajtas-2988	61	15	𝐴	𝐴	PROPN
ajtas-2988	61	16	𝑅	𝑅	PROPN
ajtas-2988	61	17	then	then	ADV
ajtas-2988	61	18	we	we	PRON
ajtas-2988	61	19	get	get	VERB
ajtas-2988	61	20	:	:	PUNCT
ajtas-2988	61	21	𝑈	𝑈	NOUN
ajtas-2988	61	22	=	=	SYM
ajtas-2988	61	23	1	1	NUM
ajtas-2988	61	24	2	2	NUM
ajtas-2988	61	25	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	61	26	−	−	NOUN
ajtas-2988	61	27	𝑈0𝑁0	𝑈0𝑁0	PROPN
ajtas-2988	61	28	+	+	CCONJ
ajtas-2988	61	29	𝑈0𝑁	𝑈0𝑁	NOUN
ajtas-2988	61	30	the	the	DET
ajtas-2988	61	31	algorithm	algorithm	NOUN
ajtas-2988	61	32	is	be	AUX
ajtas-2988	61	33	as	as	SCONJ
ajtas-2988	61	34	follows	follow	VERB
ajtas-2988	61	35	:	:	PUNCT
ajtas-2988	61	36	1	1	X
ajtas-2988	61	37	.	.	X
ajtas-2988	61	38	first	first	ADV
ajtas-2988	61	39	,	,	PUNCT
ajtas-2988	61	40	calculate	calculate	VERB
ajtas-2988	61	41	𝑈0	𝑈0	PROPN
ajtas-2988	61	42	and	and	CCONJ
ajtas-2988	61	43	𝑁0	𝑁0	VERB
ajtas-2988	61	44	for	for	ADP
ajtas-2988	61	45	the	the	DET
ajtas-2988	61	46	given	give	VERB
ajtas-2988	61	47	quantum	quantum	NOUN
ajtas-2988	61	48	dot	dot	NOUN
ajtas-2988	61	49	radius	radius	NOUN
ajtas-2988	61	50	and	and	CCONJ
ajtas-2988	61	51	energy	energy	NOUN
ajtas-2988	61	52	level	level	NOUN
ajtas-2988	61	53	𝐸0	𝐸0	NOUN
ajtas-2988	61	54	.	.	PUNCT
ajtas-2988	62	1	2	2	X
ajtas-2988	62	2	.	.	X
ajtas-2988	62	3	next	next	ADV
ajtas-2988	62	4	,	,	PUNCT
ajtas-2988	62	5	vary	vary	VERB
ajtas-2988	62	6	the	the	DET
ajtas-2988	62	7	bias	bias	NOUN
ajtas-2988	62	8	𝑉	𝑉	PROPN
ajtas-2988	62	9	,	,	PUNCT
ajtas-2988	62	10	and	and	CCONJ
ajtas-2988	62	11	for	for	ADP
ajtas-2988	62	12	each	each	DET
ajtas-2988	62	13	value	value	NOUN
ajtas-2988	62	14	solve	solve	NOUN
ajtas-2988	62	15	for	for	ADP
ajtas-2988	62	16	δ𝑁	δ𝑁	NOUN
ajtas-2988	62	17	:	:	PUNCT
ajtas-2988	62	18	δ𝑁	δ𝑁	NOUN
ajtas-2988	62	19	=	=	PUNCT
ajtas-2988	62	20	−𝑁0	−𝑁0	NOUN
ajtas-2988	62	21	+	+	CCONJ
ajtas-2988	62	22	1	1	NUM
ajtas-2988	62	23	2	2	NUM
ajtas-2988	62	24	∫	∫	NOUN
ajtas-2988	62	25	𝑑	𝑑	PROPN
ajtas-2988	62	26	∞	∞	PROPN
ajtas-2988	62	27	−∞	−∞	ADP
ajtas-2988	62	28	𝐸	𝐸	PROPN
ajtas-2988	62	29	 	 	SPACE
ajtas-2988	62	30	𝐷	𝐷	PROPN
ajtas-2988	62	31	(	(	PUNCT
ajtas-2988	62	32	𝐸	𝐸	PROPN
ajtas-2988	62	33	−	−	PROPN
ajtas-2988	62	34	1	1	NUM
ajtas-2988	62	35	2	2	NUM
ajtas-2988	62	36	𝑒𝑉	𝑒𝑉	NOUN
ajtas-2988	62	37	−	−	ADP
ajtas-2988	62	38	𝑈0δ𝑁	𝑈0δ𝑁	NOUN
ajtas-2988	62	39	)	)	PUNCT
ajtas-2988	62	40	(	(	PUNCT
ajtas-2988	62	41	𝑓1(𝐸	𝑓1(𝐸	NOUN
ajtas-2988	62	42	)	)	PUNCT
ajtas-2988	62	43	+	+	CCONJ
ajtas-2988	62	44	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	62	45	)	)	PUNCT
ajtas-2988	62	46	)	)	PUNCT
ajtas-2988	62	47	we	we	PRON
ajtas-2988	62	48	solve	solve	VERB
ajtas-2988	62	49	this	this	DET
ajtas-2988	62	50	equation	equation	NOUN
ajtas-2988	62	51	with	with	ADP
ajtas-2988	62	52	either	either	CCONJ
ajtas-2988	62	53	simple	simple	ADJ
ajtas-2988	62	54	iterations	iteration	NOUN
ajtas-2988	62	55	or	or	CCONJ
ajtas-2988	62	56	newton	newton	PROPN
ajtas-2988	62	57	’s	’s	PART
ajtas-2988	62	58	method	method	NOUN
ajtas-2988	62	59	,	,	PUNCT
ajtas-2988	62	60	starting	start	VERB
ajtas-2988	62	61	with	with	ADP
ajtas-2988	62	62	δ𝑁	δ𝑁	NOUN
ajtas-2988	62	63	=	=	SYM
ajtas-2988	63	1	0	0	X
ajtas-2988	63	2	.	.	PUNCT
ajtas-2988	64	1	we	we	PRON
ajtas-2988	64	2	rewrite	rewrite	VERB
ajtas-2988	64	3	the	the	DET
ajtas-2988	64	4	equation	equation	NOUN
ajtas-2988	64	5	so	so	SCONJ
ajtas-2988	64	6	that	that	SCONJ
ajtas-2988	64	7	the	the	DET
ajtas-2988	64	8	right	right	ADJ
ajtas-2988	64	9	side	side	NOUN
ajtas-2988	64	10	equals	equal	VERB
ajtas-2988	64	11	zero	zero	NUM
ajtas-2988	64	12	:	:	PUNCT
ajtas-2988	64	13	𝐺(𝑥	𝐺(𝑥	NUM
ajtas-2988	64	14	)	)	PUNCT
ajtas-2988	64	15	:	:	PUNCT
ajtas-2988	64	16	=	=	PUNCT
ajtas-2988	65	1	𝑥	𝑥	PROPN
ajtas-2988	66	1	+	+	CCONJ
ajtas-2988	66	2	𝑁0	𝑁0	ADJ
ajtas-2988	66	3	−	−	NUM
ajtas-2988	66	4	1	1	NUM
ajtas-2988	66	5	2	2	NUM
ajtas-2988	66	6	∫	∫	NOUN
ajtas-2988	66	7	𝑑	𝑑	PROPN
ajtas-2988	66	8	∞	∞	PROPN
ajtas-2988	66	9	−∞	−∞	ADP
ajtas-2988	66	10	𝐸	𝐸	PROPN
ajtas-2988	66	11	 	 	SPACE
ajtas-2988	66	12	𝐷	𝐷	PROPN
ajtas-2988	66	13	(	(	PUNCT
ajtas-2988	66	14	𝐸	𝐸	PROPN
ajtas-2988	66	15	−	−	PROPN
ajtas-2988	66	16	1	1	NUM
ajtas-2988	66	17	2	2	NUM
ajtas-2988	66	18	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	66	19	−	−	PROPN
ajtas-2988	66	20	𝑈0𝑥	𝑈0𝑥	PROPN
ajtas-2988	66	21	)	)	PUNCT
ajtas-2988	66	22	(	(	PUNCT
ajtas-2988	66	23	𝑓1(𝐸	𝑓1(𝐸	NOUN
ajtas-2988	66	24	)	)	PUNCT
ajtas-2988	66	25	+	+	CCONJ
ajtas-2988	66	26	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	66	27	)	)	PUNCT
ajtas-2988	66	28	)	)	PUNCT
ajtas-2988	67	1	=	=	SYM
ajtas-2988	67	2	0	0	PUNCT
ajtas-2988	68	1	the	the	DET
ajtas-2988	68	2	derivative	derivative	NOUN
ajtas-2988	68	3	of	of	ADP
ajtas-2988	68	4	𝐺(𝑥	𝐺(𝑥	NOUN
ajtas-2988	68	5	)	)	PUNCT
ajtas-2988	68	6	is	be	AUX
ajtas-2988	68	7	:	:	PUNCT
ajtas-2988	68	8	american	american	ADJ
ajtas-2988	68	9	journal	journal	PROPN
ajtas-2988	68	10	of	of	ADP
ajtas-2988	68	11	technology	technology	NOUN
ajtas-2988	68	12	and	and	CCONJ
ajtas-2988	68	13	applied	apply	VERB
ajtas-2988	68	14	sciences	science	NOUN
ajtas-2988	68	15	37	37	NUM
ajtas-2988	68	16	,	,	PUNCT
ajtas-2988	68	17	june	june	PROPN
ajtas-2988	68	18	2025	2025	NUM
ajtas-2988	68	19	p	p	NOUN
ajtas-2988	68	20	a	a	PRON
ajtas-2988	68	21	g	g	NOUN
ajtas-2988	68	22	e	e	NOUN
ajtas-2988	68	23	|	|	ADV
ajtas-2988	68	24	15	15	NUM
ajtas-2988	68	25	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	68	26	∂𝐺	∂𝐺	NOUN
ajtas-2988	68	27	∂𝑥	∂𝑥	VERB
ajtas-2988	69	1	=	=	SYM
ajtas-2988	69	2	1	1	NUM
ajtas-2988	69	3	−	−	NOUN
ajtas-2988	70	1	𝛾	𝛾	PROPN
ajtas-2988	70	2	𝜋	𝜋	PRON
ajtas-2988	70	3	𝑈0∫	𝑈0∫	NOUN
ajtas-2988	70	4	𝑑	𝑑	PROPN
ajtas-2988	70	5	∞	∞	PROPN
ajtas-2988	70	6	−∞	−∞	ADP
ajtas-2988	70	7	𝐸	𝐸	PROPN
ajtas-2988	70	8	  	  	SPACE
ajtas-2988	70	9	𝐸	𝐸	PROPN
ajtas-2988	70	10	−	−	PROPN
ajtas-2988	70	11	𝐸0	𝐸0	NOUN
ajtas-2988	70	12	−	−	PROPN
ajtas-2988	70	13	1	1	NUM
ajtas-2988	70	14	2	2	NUM
ajtas-2988	70	15	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	70	16	−	−	PROPN
ajtas-2988	71	1	𝑈0𝑥	𝑈0𝑥	PROPN
ajtas-2988	71	2	[	[	X
ajtas-2988	71	3	(	(	PUNCT
ajtas-2988	71	4	𝐸	𝐸	PROPN
ajtas-2988	71	5	−	−	PROPN
ajtas-2988	71	6	𝐸0	𝐸0	NOUN
ajtas-2988	71	7	−	−	PROPN
ajtas-2988	71	8	1	1	NUM
ajtas-2988	71	9	2	2	NUM
ajtas-2988	71	10	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	71	11	−	−	PROPN
ajtas-2988	71	12	𝑈0𝑥	𝑈0𝑥	PROPN
ajtas-2988	71	13	)	)	PUNCT
ajtas-2988	71	14	2	2	NUM
ajtas-2988	72	1	+	+	NUM
ajtas-2988	72	2	𝛾2	𝛾2	VERB
ajtas-2988	72	3	]	]	PUNCT
ajtas-2988	72	4	2	2	NUM
ajtas-2988	72	5	(	(	PUNCT
ajtas-2988	72	6	𝑓1(𝐸	𝑓1(𝐸	NOUN
ajtas-2988	72	7	)	)	PUNCT
ajtas-2988	72	8	+	+	CCONJ
ajtas-2988	72	9	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	72	10	)	)	PUNCT
ajtas-2988	72	11	)	)	PUNCT
ajtas-2988	73	1	newton	newton	PROPN
ajtas-2988	73	2	’s	’s	PART
ajtas-2988	73	3	method	method	PROPN
ajtas-2988	73	4	algorithm	algorithm	NOUN
ajtas-2988	73	5	we	we	PRON
ajtas-2988	73	6	start	start	VERB
ajtas-2988	73	7	with	with	ADP
ajtas-2988	73	8	𝑥0	𝑥0	NOUN
ajtas-2988	73	9	=	=	SYM
ajtas-2988	73	10	0	0	NUM
ajtas-2988	73	11	and	and	CCONJ
ajtas-2988	73	12	compute	compute	NOUN
ajtas-2988	73	13	:	:	PUNCT
ajtas-2988	73	14	𝑥1	𝑥1	NOUN
ajtas-2988	73	15	=	=	PROPN
ajtas-2988	73	16	𝑥0	𝑥0	PROPN
ajtas-2988	73	17	−	−	PROPN
ajtas-2988	73	18	𝐺(𝑥0	𝐺(𝑥0	NOUN
ajtas-2988	73	19	)	)	PUNCT
ajtas-2988	73	20	∂𝐺	∂𝐺	NOUN
ajtas-2988	73	21	∂𝑥	∂𝑥	INTJ
ajtas-2988	73	22	(	(	PUNCT
ajtas-2988	73	23	𝑥0	𝑥0	NOUN
ajtas-2988	73	24	)	)	PUNCT
ajtas-2988	73	25	then	then	ADV
ajtas-2988	73	26	:	:	PUNCT
ajtas-2988	73	27	𝑥𝑛+1	𝑥𝑛+1	PROPN
ajtas-2988	73	28	=	=	PRON
ajtas-2988	74	1	𝑥𝑛	𝑥𝑛	PROPN
ajtas-2988	74	2	−	−	PROPN
ajtas-2988	74	3	𝐺(𝑥𝑛	𝐺(𝑥𝑛	NOUN
ajtas-2988	74	4	)	)	PUNCT
ajtas-2988	74	5	∂𝐺	∂𝐺	NOUN
ajtas-2988	75	1	∂𝑥	∂𝑥	NUM
ajtas-2988	75	2	(	(	PUNCT
ajtas-2988	75	3	𝑥𝑛	𝑥𝑛	NOUN
ajtas-2988	75	4	)	)	PUNCT
ajtas-2988	75	5	we	we	PRON
ajtas-2988	75	6	stop	stop	VERB
ajtas-2988	75	7	when	when	SCONJ
ajtas-2988	75	8	|𝑥𝑛+1	|𝑥𝑛+1	ADP
ajtas-2988	75	9	−	−	NOUN
ajtas-2988	76	1	𝑥𝑛|	𝑥𝑛|	NOUN
ajtas-2988	76	2	<	<	X
ajtas-2988	76	3	10−6	10−6	NUM
ajtas-2988	76	4	or	or	CCONJ
ajtas-2988	76	5	after	after	ADP
ajtas-2988	76	6	20	20	NUM
ajtas-2988	76	7	iterations	iteration	NOUN
ajtas-2988	76	8	.	.	PUNCT
ajtas-2988	77	1	(	(	PUNCT
ajtas-2988	77	2	3	3	X
ajtas-2988	77	3	)	)	PUNCT
ajtas-2988	77	4	using	use	VERB
ajtas-2988	77	5	the	the	DET
ajtas-2988	77	6	calculated	calculate	VERB
ajtas-2988	77	7	δ𝑁	δ𝑁	NOUN
ajtas-2988	77	8	=	=	SYM
ajtas-2988	78	1	𝑥	𝑥	NOUN
ajtas-2988	78	2	,	,	PUNCT
ajtas-2988	78	3	we	we	PRON
ajtas-2988	78	4	compute	compute	VERB
ajtas-2988	78	5	the	the	DET
ajtas-2988	78	6	current	current	NOUN
ajtas-2988	78	7	:	:	PUNCT
ajtas-2988	78	8	𝐼(𝑉	𝐼(𝑉	ADV
ajtas-2988	78	9	)	)	PUNCT
ajtas-2988	78	10	=	=	PUNCT
ajtas-2988	79	1	𝑒	𝑒	PROPN
ajtas-2988	79	2	2𝜏	2𝜏	NUM
ajtas-2988	79	3	∫	∫	NOUN
ajtas-2988	79	4	𝑑	𝑑	PROPN
ajtas-2988	79	5	∞	∞	PROPN
ajtas-2988	79	6	−∞	−∞	ADP
ajtas-2988	79	7	𝐸	𝐸	PROPN
ajtas-2988	79	8	 	 	SPACE
ajtas-2988	79	9	𝐷(𝐸	𝐷(𝐸	ADJ
ajtas-2988	79	10	−	−	PROPN
ajtas-2988	79	11	𝑈)(𝑓1(𝐸	𝑈)(𝑓1(𝐸	PROPN
ajtas-2988	79	12	)	)	PUNCT
ajtas-2988	79	13	−	−	ADP
ajtas-2988	79	14	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	79	15	)	)	PUNCT
ajtas-2988	79	16	)	)	PUNCT
ajtas-2988	80	1	𝑈	𝑈	NOUN
ajtas-2988	80	2	=	=	NOUN
ajtas-2988	80	3	1	1	NUM
ajtas-2988	80	4	2	2	NUM
ajtas-2988	80	5	𝑒𝑉	𝑒𝑉	PROPN
ajtas-2988	80	6	+	+	CCONJ
ajtas-2988	80	7	𝑈0δ𝑁	𝑈0δ𝑁	NOUN
ajtas-2988	80	8	we	we	PRON
ajtas-2988	80	9	repeat	repeat	VERB
ajtas-2988	80	10	steps	step	NOUN
ajtas-2988	80	11	2	2	NUM
ajtas-2988	80	12	and	and	CCONJ
ajtas-2988	80	13	3	3	NUM
ajtas-2988	80	14	for	for	ADP
ajtas-2988	80	15	each	each	DET
ajtas-2988	80	16	voltage	voltage	NOUN
ajtas-2988	80	17	value	value	NOUN
ajtas-2988	80	18	.	.	PUNCT
ajtas-2988	81	1	step	step	NOUN
ajtas-2988	81	2	-	-	PUNCT
ajtas-2988	81	3	by	by	ADP
ajtas-2988	81	4	-	-	PUNCT
ajtas-2988	81	5	step	step	NOUN
ajtas-2988	81	6	solution	solution	NOUN
ajtas-2988	81	7	first	first	ADV
ajtas-2988	81	8	,	,	PUNCT
ajtas-2988	81	9	compute	compute	PROPN
ajtas-2988	81	10	𝑈0	𝑈0	NOUN
ajtas-2988	81	11	and	and	CCONJ
ajtas-2988	81	12	𝑁0	𝑁0	VERB
ajtas-2988	81	13	for	for	ADP
ajtas-2988	81	14	the	the	DET
ajtas-2988	81	15	given	give	VERB
ajtas-2988	81	16	radius	radius	NOUN
ajtas-2988	81	17	and	and	CCONJ
ajtas-2988	81	18	energy	energy	NOUN
ajtas-2988	81	19	level	level	NOUN
ajtas-2988	81	20	:	:	PUNCT
ajtas-2988	81	21	𝑈0	𝑈0	PROPN
ajtas-2988	82	1	≈	≈	PROPN
ajtas-2988	82	2	0.3	0.3	NUM
ajtas-2988	82	3	𝑅	𝑅	PROPN
ajtas-2988	82	4	for	for	ADP
ajtas-2988	82	5	𝑅	𝑅	PROPN
ajtas-2988	82	6	=	=	PROPN
ajtas-2988	82	7	3	3	NUM
ajtas-2988	82	8	nm	nm	NOUN
ajtas-2988	82	9	:	:	PUNCT
ajtas-2988	82	10	𝑈0	𝑈0	PROPN
ajtas-2988	82	11	≈	≈	PROPN
ajtas-2988	82	12	0.3	0.3	NUM
ajtas-2988	82	13	3	3	NUM
ajtas-2988	83	1	≈	≈	PROPN
ajtas-2988	83	2	0.1	0.1	NUM
ajtas-2988	83	3	ev	ev	NOUN
ajtas-2988	83	4	now	now	ADV
ajtas-2988	83	5	calculate	calculate	NOUN
ajtas-2988	83	6	:	:	PUNCT
ajtas-2988	83	7	𝑁0	𝑁0	PROPN
ajtas-2988	83	8	=	=	PUNCT
ajtas-2988	83	9	∫	∫	PROPN
ajtas-2988	83	10	𝑑	𝑑	PROPN
ajtas-2988	83	11	∞	∞	PROPN
ajtas-2988	83	12	−∞	−∞	ADP
ajtas-2988	83	13	𝐸	𝐸	PROPN
ajtas-2988	83	14	⋅	⋅	PROPN
ajtas-2988	83	15	𝐷(𝐸)𝑓2(𝐸	𝐷(𝐸)𝑓2(𝐸	PROPN
ajtas-2988	83	16	)	)	PUNCT
ajtas-2988	83	17	with	with	ADP
ajtas-2988	83	18	:	:	PUNCT
ajtas-2988	83	19	𝐷(𝐸	𝐷(𝐸	VERB
ajtas-2988	83	20	)	)	PUNCT
ajtas-2988	83	21	=	=	SYM
ajtas-2988	84	1	1	1	NUM
ajtas-2988	84	2	𝜋	𝜋	NOUN
ajtas-2988	84	3	⋅	⋅	PROPN
ajtas-2988	84	4	𝛾	𝛾	PROPN
ajtas-2988	84	5	(	(	PUNCT
ajtas-2988	84	6	𝐸	𝐸	PROPN
ajtas-2988	84	7	−	−	PROPN
ajtas-2988	84	8	𝐸0)2	𝐸0)2	NOUN
ajtas-2988	84	9	+	+	CCONJ
ajtas-2988	84	10	𝛾2	𝛾2	VERB
ajtas-2988	84	11	,	,	PUNCT
ajtas-2988	84	12	 	 	SPACE
ajtas-2988	84	13	𝑓2(𝐸	𝑓2(𝐸	NOUN
ajtas-2988	84	14	)	)	PUNCT
ajtas-2988	84	15	=	=	SYM
ajtas-2988	84	16	1	1	NUM
ajtas-2988	84	17	1	1	NUM
ajtas-2988	84	18	+	+	NUM
ajtas-2988	84	19	exp	exp	NOUN
ajtas-2988	84	20	(	(	PUNCT
ajtas-2988	84	21	𝐸	𝐸	PROPN
ajtas-2988	84	22	𝑘𝑇	𝑘𝑇	PROPN
ajtas-2988	84	23	)	)	PUNCT
ajtas-2988	84	24	𝑁0	𝑁0	VERB
ajtas-2988	84	25	=	=	PUNCT
ajtas-2988	85	1	∫	∫	PROPN
ajtas-2988	85	2	𝑑	𝑑	PROPN
ajtas-2988	85	3	∞	∞	PROPN
ajtas-2988	85	4	−∞	−∞	ADP
ajtas-2988	85	5	𝐸	𝐸	PROPN
ajtas-2988	85	6	⋅	⋅	PROPN
ajtas-2988	85	7	1	1	NUM
ajtas-2988	85	8	𝜋	𝜋	NOUN
ajtas-2988	85	9	⋅	⋅	PROPN
ajtas-2988	85	10	𝛾	𝛾	PROPN
ajtas-2988	85	11	(	(	PUNCT
ajtas-2988	85	12	𝐸	𝐸	PROPN
ajtas-2988	85	13	−	−	PROPN
ajtas-2988	85	14	𝐸0)2	𝐸0)2	NOUN
ajtas-2988	85	15	+	+	CCONJ
ajtas-2988	85	16	𝛾2	𝛾2	VERB
ajtas-2988	85	17	⋅	⋅	NUM
ajtas-2988	85	18	1	1	NUM
ajtas-2988	85	19	1	1	NUM
ajtas-2988	85	20	+	+	NUM
ajtas-2988	85	21	exp	exp	NOUN
ajtas-2988	85	22	(	(	PUNCT
ajtas-2988	85	23	𝐸	𝐸	PROPN
ajtas-2988	85	24	𝑘𝑇	𝑘𝑇	PROPN
ajtas-2988	85	25	)	)	PUNCT
ajtas-2988	85	26	matlab	matlab	PROPN
ajtas-2988	85	27	results	result	VERB
ajtas-2988	85	28	for	for	ADP
ajtas-2988	85	29	n0	n0	PROPN
ajtas-2988	85	30	.	.	PUNCT
ajtas-2988	86	1	the	the	DET
ajtas-2988	86	2	calculated	calculated	ADJ
ajtas-2988	86	3	result	result	NOUN
ajtas-2988	86	4	:	:	PUNCT
ajtas-2988	86	5	𝑁0	𝑁0	PROPN
ajtas-2988	86	6	≈	≈	PROPN
ajtas-2988	86	7	0.0064196	0.0064196	NUM
ajtas-2988	86	8	.	.	PUNCT
ajtas-2988	87	1	american	american	ADJ
ajtas-2988	87	2	journal	journal	PROPN
ajtas-2988	87	3	of	of	ADP
ajtas-2988	87	4	technology	technology	NOUN
ajtas-2988	87	5	and	and	CCONJ
ajtas-2988	87	6	applied	apply	VERB
ajtas-2988	87	7	sciences	science	NOUN
ajtas-2988	87	8	37	37	NUM
ajtas-2988	87	9	,	,	PUNCT
ajtas-2988	87	10	june	june	PROPN
ajtas-2988	87	11	2025	2025	NUM
ajtas-2988	87	12	p	p	NOUN
ajtas-2988	87	13	a	a	DET
ajtas-2988	87	14	g	g	NOUN
ajtas-2988	87	15	e	e	NOUN
ajtas-2988	87	16	|	|	ADV
ajtas-2988	87	17	16	16	NUM
ajtas-2988	87	18	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	87	19	figure	figure	NOUN
ajtas-2988	87	20	4	4	NUM
ajtas-2988	87	21	:	:	PUNCT
ajtas-2988	87	22	computed	computed	ADJ
ajtas-2988	87	23	𝑁(𝑉	𝑁(𝑉	PROPN
ajtas-2988	87	24	)	)	PUNCT
ajtas-2988	87	25	from	from	ADP
ajtas-2988	87	26	r	r	NOUN
ajtas-2988	87	27	code	code	NOUN
ajtas-2988	87	28	results	result	NOUN
ajtas-2988	87	29	and	and	CCONJ
ajtas-2988	87	30	discussion	discussion	NOUN
ajtas-2988	87	31	further	further	ADJ
ajtas-2988	87	32	investigation	investigation	NOUN
ajtas-2988	87	33	and	and	CCONJ
ajtas-2988	87	34	modeling	modeling	NOUN
ajtas-2988	87	35	of	of	ADP
ajtas-2988	87	36	the	the	DET
ajtas-2988	87	37	transistor	transistor	NOUN
ajtas-2988	87	38	’s	’s	PART
ajtas-2988	87	39	charge	charge	NOUN
ajtas-2988	87	40	transport	transport	NOUN
ajtas-2988	87	41	characteristics	characteristic	NOUN
ajtas-2988	87	42	are	be	AUX
ajtas-2988	87	43	greatly	greatly	ADV
ajtas-2988	87	44	facilitated	facilitate	VERB
ajtas-2988	87	45	by	by	ADP
ajtas-2988	87	46	the	the	DET
ajtas-2988	87	47	discovery	discovery	NOUN
ajtas-2988	87	48	that	that	PRON
ajtas-2988	87	49	the	the	DET
ajtas-2988	87	50	parameter	parameter	NOUN
ajtas-2988	87	51	n	n	PUNCT
ajtas-2988	87	52	is	be	AUX
ajtas-2988	87	53	roughly	roughly	ADV
ajtas-2988	87	54	zero	zero	NUM
ajtas-2988	87	55	.	.	PUNCT
ajtas-2988	88	1	this	this	DET
ajtas-2988	88	2	value	value	NOUN
ajtas-2988	88	3	is	be	AUX
ajtas-2988	88	4	close	close	ADJ
ajtas-2988	88	5	to	to	ADP
ajtas-2988	88	6	zero	zero	NUM
ajtas-2988	88	7	,	,	PUNCT
ajtas-2988	88	8	which	which	PRON
ajtas-2988	88	9	makes	make	VERB
ajtas-2988	88	10	it	it	PRON
ajtas-2988	88	11	easier	easy	ADJ
ajtas-2988	88	12	to	to	PART
ajtas-2988	88	13	analyze	analyze	VERB
ajtas-2988	88	14	and	and	CCONJ
ajtas-2988	88	15	solve	solve	VERB
ajtas-2988	88	16	related	related	ADJ
ajtas-2988	88	17	equations	equation	NOUN
ajtas-2988	88	18	by	by	ADP
ajtas-2988	88	19	allowing	allow	VERB
ajtas-2988	88	20	us	we	PRON
ajtas-2988	88	21	to	to	PART
ajtas-2988	88	22	concentrate	concentrate	VERB
ajtas-2988	88	23	on	on	ADP
ajtas-2988	88	24	other	other	ADJ
ajtas-2988	88	25	important	important	ADJ
ajtas-2988	88	26	features	feature	NOUN
ajtas-2988	88	27	.	.	PUNCT
ajtas-2988	89	1	the	the	DET
ajtas-2988	89	2	crucial	crucial	ADJ
ajtas-2988	89	3	impact	impact	NOUN
ajtas-2988	89	4	of	of	ADP
ajtas-2988	89	5	energy	energy	NOUN
ajtas-2988	89	6	broadening	broaden	VERB
ajtas-2988	89	7	and	and	CCONJ
ajtas-2988	89	8	quantum	quantum	NOUN
ajtas-2988	89	9	dot	dot	NOUN
ajtas-2988	89	10	size	size	NOUN
ajtas-2988	89	11	distribution	distribution	NOUN
ajtas-2988	89	12	on	on	ADP
ajtas-2988	89	13	the	the	DET
ajtas-2988	89	14	electronic	electronic	ADJ
ajtas-2988	89	15	transport	transport	NOUN
ajtas-2988	89	16	in	in	ADP
ajtas-2988	89	17	quantum	quantum	ADJ
ajtas-2988	89	18	dot	dot	NOUN
ajtas-2988	89	19	-	-	PUNCT
ajtas-2988	89	20	based	base	VERB
ajtas-2988	89	21	field	field	NOUN
ajtas-2988	89	22	-	-	PUNCT
ajtas-2988	89	23	effect	effect	NOUN
ajtas-2988	89	24	transistors	transistor	NOUN
ajtas-2988	89	25	was	be	AUX
ajtas-2988	89	26	demonstrated	demonstrate	VERB
ajtas-2988	89	27	by	by	ADP
ajtas-2988	89	28	our	our	PRON
ajtas-2988	89	29	numerical	numerical	PROPN
ajtas-2988	89	30	simulation	simulation	PROPN
ajtas-2988	89	31	.	.	PUNCT
ajtas-2988	90	1	according	accord	VERB
ajtas-2988	90	2	to	to	ADP
ajtas-2988	90	3	the	the	DET
ajtas-2988	90	4	rule	rule	NOUN
ajtas-2988	90	5	of	of	ADP
ajtas-2988	90	6	large	large	ADJ
ajtas-2988	90	7	numbers	number	NOUN
ajtas-2988	90	8	,	,	PUNCT
ajtas-2988	90	9	the	the	DET
ajtas-2988	90	10	size	size	NOUN
ajtas-2988	90	11	distribution	distribution	NOUN
ajtas-2988	90	12	of	of	ADP
ajtas-2988	90	13	quantum	quantum	ADJ
ajtas-2988	90	14	dots	dot	NOUN
ajtas-2988	90	15	tends	tend	VERB
ajtas-2988	90	16	to	to	PART
ajtas-2988	90	17	become	become	VERB
ajtas-2988	90	18	more	more	ADV
ajtas-2988	90	19	symmetric	symmetric	ADJ
ajtas-2988	90	20	as	as	SCONJ
ajtas-2988	90	21	their	their	PRON
ajtas-2988	90	22	number	number	NOUN
ajtas-2988	90	23	rises	rise	VERB
ajtas-2988	90	24	.	.	PUNCT
ajtas-2988	91	1	in	in	ADP
ajtas-2988	91	2	line	line	NOUN
ajtas-2988	91	3	with	with	ADP
ajtas-2988	91	4	theoretical	theoretical	ADJ
ajtas-2988	91	5	predictions	prediction	NOUN
ajtas-2988	91	6	,	,	PUNCT
ajtas-2988	91	7	it	it	PRON
ajtas-2988	91	8	was	be	AUX
ajtas-2988	91	9	demonstrated	demonstrate	VERB
ajtas-2988	91	10	that	that	SCONJ
ajtas-2988	91	11	important	important	ADJ
ajtas-2988	91	12	physical	physical	ADJ
ajtas-2988	91	13	phenomena	phenomenon	NOUN
ajtas-2988	91	14	as	as	ADP
ajtas-2988	91	15	resonant	resonant	ADJ
ajtas-2988	91	16	tunneling	tunneling	NOUN
ajtas-2988	91	17	,	,	PUNCT
ajtas-2988	91	18	coulomb	coulomb	NOUN
ajtas-2988	91	19	blockade	blockade	NOUN
ajtas-2988	91	20	,	,	PUNCT
ajtas-2988	91	21	and	and	CCONJ
ajtas-2988	91	22	quantum	quantum	NOUN
ajtas-2988	91	23	confinement	confinement	NOUN
ajtas-2988	91	24	significantly	significantly	ADV
ajtas-2988	91	25	affected	affect	VERB
ajtas-2988	91	26	the	the	DET
ajtas-2988	91	27	current	current	ADJ
ajtas-2988	91	28	-	-	PUNCT
ajtas-2988	91	29	voltage	voltage	NOUN
ajtas-2988	91	30	characteristics	characteristic	NOUN
ajtas-2988	91	31	.	.	PUNCT
ajtas-2988	92	1	by	by	ADP
ajtas-2988	92	2	adjusting	adjust	VERB
ajtas-2988	92	3	variables	variable	NOUN
ajtas-2988	92	4	such	such	ADJ
ajtas-2988	92	5	as	as	ADP
ajtas-2988	92	6	temperature	temperature	NOUN
ajtas-2988	92	7	,	,	PUNCT
ajtas-2988	92	8	dispersion	dispersion	NOUN
ajtas-2988	92	9	,	,	PUNCT
ajtas-2988	92	10	and	and	CCONJ
ajtas-2988	92	11	quantum	quantum	NOUN
ajtas-2988	92	12	dot	dot	NOUN
ajtas-2988	92	13	size	size	NOUN
ajtas-2988	92	14	,	,	PUNCT
ajtas-2988	92	15	important	important	ADJ
ajtas-2988	92	16	information	information	NOUN
ajtas-2988	92	17	on	on	ADP
ajtas-2988	92	18	how	how	SCONJ
ajtas-2988	92	19	to	to	PART
ajtas-2988	92	20	maximize	maximize	VERB
ajtas-2988	92	21	device	device	NOUN
ajtas-2988	92	22	performance	performance	NOUN
ajtas-2988	92	23	was	be	AUX
ajtas-2988	92	24	discovered	discover	VERB
ajtas-2988	92	25	.	.	PUNCT
ajtas-2988	93	1	these	these	DET
ajtas-2988	93	2	results	result	NOUN
ajtas-2988	93	3	offer	offer	VERB
ajtas-2988	93	4	useful	useful	ADJ
ajtas-2988	93	5	avenues	avenue	NOUN
ajtas-2988	93	6	for	for	ADP
ajtas-2988	93	7	enhancing	enhance	VERB
ajtas-2988	93	8	the	the	DET
ajtas-2988	93	9	stability	stability	NOUN
ajtas-2988	93	10	and	and	CCONJ
ajtas-2988	93	11	effectiveness	effectiveness	NOUN
ajtas-2988	93	12	of	of	ADP
ajtas-2988	93	13	next	next	ADJ
ajtas-2988	93	14	-	-	PUNCT
ajtas-2988	93	15	generation	generation	NOUN
ajtas-2988	93	16	quantum	quantum	NOUN
ajtas-2988	93	17	dot	dot	NOUN
ajtas-2988	93	18	fets	fet	NOUN
ajtas-2988	93	19	while	while	SCONJ
ajtas-2988	93	20	also	also	ADV
ajtas-2988	93	21	advancing	advance	VERB
ajtas-2988	93	22	nanoelectronic	nanoelectronic	ADJ
ajtas-2988	93	23	devices	device	NOUN
ajtas-2988	93	24	.	.	PUNCT
ajtas-2988	94	1	to	to	PART
ajtas-2988	94	2	further	far	ADV
ajtas-2988	94	3	improve	improve	VERB
ajtas-2988	94	4	device	device	NOUN
ajtas-2988	94	5	performance	performance	NOUN
ajtas-2988	94	6	and	and	CCONJ
ajtas-2988	94	7	dependability	dependability	NOUN
ajtas-2988	94	8	,	,	PUNCT
ajtas-2988	94	9	future	future	ADJ
ajtas-2988	94	10	research	research	NOUN
ajtas-2988	94	11	will	will	AUX
ajtas-2988	94	12	concentrate	concentrate	VERB
ajtas-2988	94	13	on	on	ADP
ajtas-2988	94	14	improving	improve	VERB
ajtas-2988	94	15	quantum	quantum	ADJ
ajtas-2988	94	16	transport	transport	NOUN
ajtas-2988	94	17	models	model	NOUN
ajtas-2988	94	18	,	,	PUNCT
ajtas-2988	94	19	examining	examine	VERB
ajtas-2988	94	20	more	more	ADV
ajtas-2988	94	21	intricate	intricate	ADJ
ajtas-2988	94	22	quantum	quantum	ADJ
ajtas-2988	94	23	dot	dot	NOUN
ajtas-2988	94	24	distributions	distribution	NOUN
ajtas-2988	94	25	,	,	PUNCT
ajtas-2988	94	26	and	and	CCONJ
ajtas-2988	94	27	tackling	tackle	VERB
ajtas-2988	94	28	the	the	DET
ajtas-2988	94	29	consequences	consequence	NOUN
ajtas-2988	94	30	of	of	ADP
ajtas-2988	94	31	disorder	disorder	NOUN
ajtas-2988	94	32	and	and	CCONJ
ajtas-2988	94	33	inhomogeneity	inhomogeneity	NOUN
ajtas-2988	94	34	.	.	PUNCT
ajtas-2988	95	1	references	reference	NOUN
ajtas-2988	95	2	[	[	X
ajtas-2988	95	3	1	1	NUM
ajtas-2988	95	4	]	]	PUNCT
ajtas-2988	95	5	f.	f.	PROPN
ajtas-2988	95	6	hetsch	hetsch	PROPN
ajtas-2988	95	7	,	,	PUNCT
ajtas-2988	95	8	n.	n.	PROPN
ajtas-2988	95	9	zhao	zhao	PROPN
ajtas-2988	95	10	,	,	PUNCT
ajtas-2988	95	11	s.	s.	PROPN
ajtas-2988	95	12	v.	v.	PROPN
ajtas-2988	95	13	kershaw	kershaw	PROPN
ajtas-2988	95	14	,	,	PUNCT
ajtas-2988	95	15	a.	a.	PROPN
ajtas-2988	95	16	l.	l.	PROPN
ajtas-2988	95	17	rogach	rogach	PROPN
ajtas-2988	95	18	,	,	PUNCT
ajtas-2988	95	19	"	"	PUNCT
ajtas-2988	95	20	quantum	quantum	ADJ
ajtas-2988	95	21	dot	dot	NOUN
ajtas-2988	95	22	field	field	NOUN
ajtas-2988	95	23	effect	effect	NOUN
ajtas-2988	95	24	transistors	transistor	NOUN
ajtas-2988	95	25	,	,	PUNCT
ajtas-2988	95	26	"	"	PUNCT
ajtas-2988	95	27	materials	material	NOUN
ajtas-2988	95	28	today	today	NOUN
ajtas-2988	95	29	,	,	PUNCT
ajtas-2988	95	30	vol	vol	NOUN
ajtas-2988	95	31	.	.	PROPN
ajtas-2988	95	32	16	16	NUM
ajtas-2988	95	33	,	,	PUNCT
ajtas-2988	95	34	no	no	INTJ
ajtas-2988	95	35	.	.	NOUN
ajtas-2988	95	36	9	9	NUM
ajtas-2988	95	37	,	,	PUNCT
ajtas-2988	95	38	pp	pp	ADJ
ajtas-2988	95	39	.	.	PUNCT
ajtas-2988	96	1	312	312	NUM
ajtas-2988	96	2	-	-	SYM
ajtas-2988	96	3	325	325	NUM
ajtas-2988	96	4	,	,	PUNCT
ajtas-2988	96	5	september	september	PROPN
ajtas-2988	96	6	2013	2013	NUM
ajtas-2988	96	7	.	.	PUNCT
ajtas-2988	97	1	[	[	X
ajtas-2988	97	2	2	2	NUM
ajtas-2988	97	3	]	]	PUNCT
ajtas-2988	97	4	d.	d.	NOUN
ajtas-2988	97	5	segets	seget	NOUN
ajtas-2988	97	6	,	,	PUNCT
ajtas-2988	97	7	"	"	PUNCT
ajtas-2988	97	8	analysis	analysis	NOUN
ajtas-2988	97	9	of	of	ADP
ajtas-2988	97	10	particle	particle	NOUN
ajtas-2988	97	11	size	size	NOUN
ajtas-2988	97	12	distributions	distribution	NOUN
ajtas-2988	97	13	of	of	ADP
ajtas-2988	97	14	quantum	quantum	ADJ
ajtas-2988	97	15	dots	dot	NOUN
ajtas-2988	97	16	:	:	PUNCT
ajtas-2988	97	17	from	from	ADP
ajtas-2988	97	18	theory	theory	NOUN
ajtas-2988	97	19	to	to	ADP
ajtas-2988	97	20	application	application	NOUN
ajtas-2988	97	21	,	,	PUNCT
ajtas-2988	97	22	"	"	PUNCT
ajtas-2988	97	23	kona	kona	NOUN
ajtas-2988	97	24	powder	powder	NOUN
ajtas-2988	97	25	and	and	CCONJ
ajtas-2988	97	26	particle	particle	NOUN
ajtas-2988	97	27	journal	journal	NOUN
ajtas-2988	97	28	,	,	PUNCT
ajtas-2988	97	29	vol	vol	NOUN
ajtas-2988	97	30	.	.	PROPN
ajtas-2988	98	1	33	33	NUM
ajtas-2988	98	2	,	,	PUNCT
ajtas-2988	99	1	pp	pp	ADJ
ajtas-2988	99	2	.	.	PUNCT
ajtas-2988	100	1	48	48	NUM
ajtas-2988	100	2	-	-	SYM
ajtas-2988	100	3	62	62	NUM
ajtas-2988	100	4	,	,	PUNCT
ajtas-2988	100	5	2016	2016	NUM
ajtas-2988	100	6	.	.	PUNCT
ajtas-2988	101	1	[	[	X
ajtas-2988	101	2	3	3	X
ajtas-2988	101	3	]	]	X
ajtas-2988	101	4	e.	e.	PROPN
ajtas-2988	101	5	n.	n.	PROPN
ajtas-2988	101	6	bodunov	bodunov	PROPN
ajtas-2988	101	7	,	,	PUNCT
ajtas-2988	101	8	m.	m.	NOUN
ajtas-2988	101	9	n.	n.	PROPN
ajtas-2988	101	10	berberan	berberan	PROPN
ajtas-2988	101	11	santos	santos	PROPN
ajtas-2988	101	12	,	,	PUNCT
ajtas-2988	101	13	l.	l.	PROPN
ajtas-2988	101	14	pogliani	pogliani	PROPN
ajtas-2988	101	15	,	,	PUNCT
ajtas-2988	101	16	"	"	PUNCT
ajtas-2988	101	17	on	on	ADP
ajtas-2988	101	18	the	the	DET
ajtas-2988	101	19	form	form	NOUN
ajtas-2988	101	20	of	of	ADP
ajtas-2988	101	21	size	size	NOUN
ajtas-2988	101	22	distribution	distribution	NOUN
ajtas-2988	101	23	function	function	NOUN
ajtas-2988	101	24	of	of	ADP
ajtas-2988	101	25	quantum	quantum	ADJ
ajtas-2988	101	26	dots	dot	NOUN
ajtas-2988	101	27	,	,	PUNCT
ajtas-2988	101	28	"	"	PUNCT
ajtas-2988	101	29	optics	optic	NOUN
ajtas-2988	101	30	and	and	CCONJ
ajtas-2988	101	31	spectroscopy	spectroscopy	NOUN
ajtas-2988	101	32	,	,	PUNCT
ajtas-2988	101	33	vol	vol	NOUN
ajtas-2988	101	34	.	.	NOUN
ajtas-2988	101	35	111	111	NUM
ajtas-2988	101	36	,	,	PUNCT
ajtas-2988	101	37	no	no	INTJ
ajtas-2988	101	38	.	.	NOUN
ajtas-2988	101	39	1	1	NUM
ajtas-2988	101	40	,	,	PUNCT
ajtas-2988	101	41	pp	pp	ADJ
ajtas-2988	101	42	.	.	PUNCT
ajtas-2988	102	1	61	61	NUM
ajtas-2988	102	2	-	-	SYM
ajtas-2988	102	3	65	65	NUM
ajtas-2988	102	4	,	,	PUNCT
ajtas-2988	102	5	july	july	PROPN
ajtas-2988	102	6	2011	2011	NUM
ajtas-2988	102	7	.	.	PUNCT
ajtas-2988	103	1	american	american	ADJ
ajtas-2988	103	2	journal	journal	PROPN
ajtas-2988	103	3	of	of	ADP
ajtas-2988	103	4	technology	technology	NOUN
ajtas-2988	103	5	and	and	CCONJ
ajtas-2988	103	6	applied	apply	VERB
ajtas-2988	103	7	sciences	science	NOUN
ajtas-2988	103	8	37	37	NUM
ajtas-2988	103	9	,	,	PUNCT
ajtas-2988	103	10	june	june	PROPN
ajtas-2988	103	11	2025	2025	NUM
ajtas-2988	103	12	p	p	NOUN
ajtas-2988	103	13	a	a	DET
ajtas-2988	103	14	g	g	NOUN
ajtas-2988	103	15	e	e	NOUN
ajtas-2988	103	16	|	|	ADV
ajtas-2988	103	17	17	17	NUM
ajtas-2988	103	18	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-2988	103	19	[	[	X
ajtas-2988	103	20	4	4	X
ajtas-2988	103	21	]	]	X
ajtas-2988	103	22	p.	p.	NOUN
ajtas-2988	103	23	hari	hari	PROPN
ajtas-2988	103	24	krishna	krishna	PROPN
ajtas-2988	103	25	,	,	PUNCT
ajtas-2988	103	26	m.	m.	NOUN
ajtas-2988	103	27	ramrakhiani	ramrakhiani	NOUN
ajtas-2988	103	28	,	,	PUNCT
ajtas-2988	103	29	"	"	PUNCT
ajtas-2988	103	30	effect	effect	NOUN
ajtas-2988	103	31	of	of	ADP
ajtas-2988	103	32	particle	particle	NOUN
ajtas-2988	103	33	size	size	NOUN
ajtas-2988	103	34	distribution	distribution	NOUN
ajtas-2988	103	35	on	on	ADP
ajtas-2988	103	36	spectral	spectral	ADJ
ajtas-2988	103	37	characteristics	characteristic	NOUN
ajtas-2988	103	38	of	of	ADP
ajtas-2988	103	39	different	different	ADJ
ajtas-2988	103	40	quantum	quantum	ADJ
ajtas-2988	103	41	dots	dot	NOUN
ajtas-2988	103	42	,	,	PUNCT
ajtas-2988	103	43	"	"	PUNCT
ajtas-2988	103	44	rani	rani	PROPN
ajtas-2988	103	45	durgawati	durgawati	PROPN
ajtas-2988	103	46	university	university	PROPN
ajtas-2988	103	47	,	,	PUNCT
ajtas-2988	103	48	jabalpur	jabalpur	PROPN
ajtas-2988	103	49	,	,	PUNCT
ajtas-2988	103	50	india	india	PROPN
ajtas-2988	103	51	.	.	PUNCT
ajtas-2988	104	1	[	[	X
ajtas-2988	104	2	5	5	X
ajtas-2988	104	3	]	]	PUNCT
ajtas-2988	104	4	m.	m.	NOUN
ajtas-2988	104	5	a.	a.	PROPN
ajtas-2988	104	6	migliorato	migliorato	PROPN
ajtas-2988	104	7	,	,	PUNCT
ajtas-2988	104	8	d.	d.	PROPN
ajtas-2988	104	9	powell	powell	PROPN
ajtas-2988	104	10	,	,	PUNCT
ajtas-2988	104	11	s.	s.	PROPN
ajtas-2988	104	12	l.	l.	PROPN
ajtas-2988	104	13	liew	liew	PROPN
ajtas-2988	104	14	,	,	PUNCT
ajtas-2988	104	15	a.	a.	PROPN
ajtas-2988	104	16	g.	g.	PROPN
ajtas-2988	104	17	cullis	cullis	PROPN
ajtas-2988	104	18	,	,	PUNCT
ajtas-2988	104	19	p.	p.	PROPN
ajtas-2988	104	20	navaretti	navaretti	PROPN
ajtas-2988	104	21	,	,	PUNCT
ajtas-2988	104	22	m.	m.	PROPN
ajtas-2988	104	23	j.	j.	PROPN
ajtas-2988	104	24	steer	steer	PROPN
ajtas-2988	104	25	,	,	PUNCT
ajtas-2988	104	26	m.	m.	PROPN
ajtas-2988	104	27	hopkinson	hopkinson	PROPN
ajtas-2988	104	28	,	,	PUNCT
ajtas-2988	104	29	m.	m.	NOUN
ajtas-2988	104	30	fearn	fearn	PROPN
ajtas-2988	104	31	,	,	PUNCT
ajtas-2988	104	32	j.	j.	PROPN
ajtas-2988	104	33	h.	h.	PROPN
ajtas-2988	104	34	jefferson	jefferson	PROPN
ajtas-2988	104	35	,	,	PUNCT
ajtas-2988	104	36	"	"	PUNCT
ajtas-2988	104	37	influence	influence	NOUN
ajtas-2988	104	38	of	of	ADP
ajtas-2988	104	39	composition	composition	NOUN
ajtas-2988	104	40	on	on	ADP
ajtas-2988	104	41	the	the	DET
ajtas-2988	104	42	piezoelectric	piezoelectric	ADJ
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ajtas-2988	104	44	and	and	CCONJ
ajtas-2988	104	45	on	on	ADP
ajtas-2988	104	46	the	the	DET
ajtas-2988	104	47	conduction	conduction	NOUN
ajtas-2988	104	48	band	band	NOUN
ajtas-2988	104	49	energy	energy	NOUN
ajtas-2988	104	50	levels	level	NOUN
ajtas-2988	104	51	of	of	ADP
ajtas-2988	104	52	in𝑥ga1−𝑥as	in𝑥ga1−𝑥as	PROPN
ajtas-2988	104	53	/	/	SYM
ajtas-2988	104	54	gaas	gaas	NOUN
ajtas-2988	104	55	quantum	quantum	NOUN
ajtas-2988	104	56	dots	dot	NOUN
ajtas-2988	104	57	,	,	PUNCT
ajtas-2988	104	58	"	"	PUNCT
ajtas-2988	104	59	department	department	NOUN
ajtas-2988	104	60	of	of	ADP
ajtas-2988	104	61	electronic	electronic	ADJ
ajtas-2988	104	62	and	and	CCONJ
ajtas-2988	104	63	electrical	electrical	ADJ
ajtas-2988	104	64	engineering	engineering	NOUN
ajtas-2988	104	65	,	,	PUNCT
ajtas-2988	104	66	university	university	PROPN
ajtas-2988	104	67	of	of	ADP
ajtas-2988	104	68	sheffield	sheffield	PROPN
ajtas-2988	104	69	,	,	PUNCT
ajtas-2988	104	70	united	united	ADJ
ajtas-2988	104	71	kingdom	kingdom	PROPN
ajtas-2988	104	72	,	,	PUNCT
ajtas-2988	104	73	2004	2004	NUM
ajtas-2988	104	74	.	.	PUNCT
ajtas-2988	105	1	[	[	X
ajtas-2988	105	2	6	6	NUM
ajtas-2988	105	3	]	]	PUNCT
ajtas-2988	105	4	s.	s.	PROPN
ajtas-2988	105	5	datta	datta	PROPN
ajtas-2988	105	6	,	,	PUNCT
ajtas-2988	105	7	quantum	quantum	NOUN
ajtas-2988	105	8	transport	transport	NOUN
ajtas-2988	105	9	:	:	PUNCT
ajtas-2988	105	10	atom	atom	NOUN
ajtas-2988	105	11	to	to	ADP
ajtas-2988	105	12	transistor	transistor	NOUN
ajtas-2988	105	13	,	,	PUNCT
ajtas-2988	105	14	cambridge	cambridge	PROPN
ajtas-2988	105	15	university	university	PROPN
ajtas-2988	105	16	press	press	PROPN
ajtas-2988	105	17	,	,	PUNCT
ajtas-2988	105	18	cambridge	cambridge	PROPN
ajtas-2988	105	19	,	,	PUNCT
ajtas-2988	105	20	2005	2005	NUM
ajtas-2988	105	21	,	,	PUNCT
ajtas-2988	105	22	p.	p.	NOUN
ajtas-2988	105	23	404	404	NUM
ajtas-2988	105	24	.	.	PUNCT
ajtas-2988	106	1	[	[	X
ajtas-2988	106	2	7	7	X
ajtas-2988	106	3	]	]	X
ajtas-2988	106	4	e.	e.	PROPN
ajtas-2988	106	5	fortunato	fortunato	PROPN
ajtas-2988	106	6	,	,	PUNCT
ajtas-2988	106	7	p.	p.	NOUN
ajtas-2988	106	8	barquinha	barquinha	NOUN
ajtas-2988	106	9	,	,	PUNCT
ajtas-2988	106	10	n.	n.	PROPN
ajtas-2988	106	11	correia	correia	PROPN
ajtas-2988	106	12	,	,	PUNCT
ajtas-2988	106	13	c.	c.	PROPN
ajtas-2988	106	14	costa	costa	PROPN
ajtas-2988	106	15	,	,	PUNCT
ajtas-2988	106	16	"	"	PUNCT
ajtas-2988	106	17	paper	paper	NOUN
ajtas-2988	106	18	field	field	NOUN
ajtas-2988	106	19	effect	effect	NOUN
ajtas-2988	106	20	transistor	transistor	NOUN
ajtas-2988	106	21	,	,	PUNCT
ajtas-2988	106	22	"	"	PUNCT
ajtas-2988	106	23	reviews	review	NOUN
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ajtas-2988	106	26	physics	physic	NOUN
ajtas-2988	106	27	,	,	PUNCT
ajtas-2988	106	28	vol	vol	NOUN
ajtas-2988	106	29	.	.	PUNCT
ajtas-2988	106	30	7217	7217	NUM
ajtas-2988	106	31	,	,	PUNCT
ajtas-2988	106	32	p.	p.	NOUN
ajtas-2988	106	33	12	12	NUM
ajtas-2988	106	34	,	,	PUNCT
ajtas-2988	106	35	2014	2014	NUM
ajtas-2988	106	36	.	.	PUNCT
ajtas-2988	107	1	[	[	X
ajtas-2988	107	2	8	8	NUM
ajtas-2988	107	3	]	]	PUNCT
ajtas-2988	107	4	m.	m.	NOUN
ajtas-2988	107	5	j.	j.	PROPN
ajtas-2988	107	6	yang	yang	PROPN
ajtas-2988	107	7	,	,	PUNCT
ajtas-2988	107	8	f.-c	f.-c	PROPN
ajtas-2988	107	9	.	.	PUNCT
ajtas-2988	108	1	wang	wang	PROPN
ajtas-2988	108	2	,	,	PUNCT
ajtas-2988	108	3	c.	c.	PROPN
ajtas-2988	108	4	h.	h.	PROPN
ajtas-2988	108	5	yang	yang	PROPN
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ajtas-2988	108	7	b.	b.	PROPN
ajtas-2988	108	8	r.	r.	PROPN
ajtas-2988	108	9	bennett	bennett	PROPN
ajtas-2988	108	10	,	,	PUNCT
ajtas-2988	108	11	"	"	PUNCT
ajtas-2988	108	12	a	a	DET
ajtas-2988	108	13	composite	composite	ADJ
ajtas-2988	108	14	quantum	quantum	NOUN
ajtas-2988	108	15	well	well	NOUN
ajtas-2988	108	16	field	field	NOUN
ajtas-2988	108	17	-	-	PUNCT
ajtas-2988	108	18	effect	effect	NOUN
ajtas-2988	108	19	transistor	transistor	NOUN
ajtas-2988	108	20	,	,	PUNCT
ajtas-2988	108	21	"	"	PUNCT
ajtas-2988	108	22	naval	naval	ADJ
ajtas-2988	108	23	research	research	NOUN
ajtas-2988	108	24	laboratory	laboratory	NOUN
ajtas-2988	108	25	,	,	PUNCT
ajtas-2988	108	26	vol	vol	NOUN
ajtas-2988	108	27	.	.	PROPN
ajtas-2988	108	28	69	69	NUM
ajtas-2988	108	29	,	,	PUNCT
ajtas-2988	108	30	no	no	INTJ
ajtas-2988	108	31	.	.	NOUN
ajtas-2988	108	32	1	1	NUM
ajtas-2988	108	33	,	,	PUNCT
ajtas-2988	108	34	pp	pp	ADJ
ajtas-2988	108	35	.	.	PUNCT
ajtas-2988	108	36	85	85	NUM
ajtas-2988	108	37	-	-	SYM
ajtas-2988	108	38	87	87	NUM
ajtas-2988	108	39	,	,	PUNCT
ajtas-2988	108	40	1996	1996	NUM
ajtas-2988	108	41	.	.	PUNCT
ajtas-2988	109	1	[	[	X
ajtas-2988	109	2	9	9	NUM
ajtas-2988	109	3	]	]	PUNCT
ajtas-2988	109	4	d.	d.	PROPN
ajtas-2988	109	5	bera	bera	PROPN
ajtas-2988	109	6	,	,	PUNCT
ajtas-2988	109	7	l.	l.	PROPN
ajtas-2988	109	8	qian	qian	PROPN
ajtas-2988	109	9	,	,	PUNCT
ajtas-2988	109	10	t.-k	t.-k	PROPN
ajtas-2988	109	11	.	.	PUNCT
ajtas-2988	110	1	tseng	tseng	PROPN
ajtas-2988	110	2	,	,	PUNCT
ajtas-2988	110	3	p.	p.	PROPN
ajtas-2988	110	4	h.	h.	PROPN
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ajtas-2988	110	6	,	,	PUNCT
ajtas-2988	110	7	"	"	PUNCT
ajtas-2988	110	8	quantum	quantum	ADJ
ajtas-2988	110	9	dots	dot	NOUN
ajtas-2988	110	10	and	and	CCONJ
ajtas-2988	110	11	their	their	PRON
ajtas-2988	110	12	multimodal	multimodal	NOUN
ajtas-2988	110	13	applications	application	NOUN
ajtas-2988	110	14	,	,	PUNCT
ajtas-2988	110	15	"	"	PUNCT
ajtas-2988	110	16	materials	material	NOUN
ajtas-2988	110	17	,	,	PUNCT
ajtas-2988	110	18	no	no	INTJ
ajtas-2988	110	19	.	.	NOUN
ajtas-2988	110	20	3	3	NUM
ajtas-2988	110	21	,	,	PUNCT
ajtas-2988	110	22	pp	pp	ADJ
ajtas-2988	110	23	.	.	PUNCT
ajtas-2988	111	1	2260	2260	NUM
ajtas-2988	111	2	-	-	SYM
ajtas-2988	111	3	2345	2345	NUM
ajtas-2988	111	4	,	,	PUNCT
ajtas-2988	111	5	2010	2010	NUM
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ajtas-2988	112	1	[	[	X
ajtas-2988	112	2	10	10	NUM
ajtas-2988	112	3	]	]	X
ajtas-2988	112	4	d.	d.	PROPN
ajtas-2988	112	5	k.	k.	PROPN
ajtas-2988	112	6	ferry	ferry	PROPN
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ajtas-2988	112	8	j.	j.	PROPN
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ajtas-2988	112	13	,	,	PUNCT
ajtas-2988	112	14	s.	s.	PROPN
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ajtas-2988	112	16	,	,	PUNCT
ajtas-2988	112	17	"	"	PUNCT
ajtas-2988	112	18	a	a	DET
ajtas-2988	112	19	review	review	NOUN
ajtas-2988	112	20	of	of	ADP
ajtas-2988	112	21	quantum	quantum	NOUN
ajtas-2988	112	22	transport	transport	NOUN
ajtas-2988	112	23	in	in	ADP
ajtas-2988	112	24	fieldeffect	fieldeffect	ADJ
ajtas-2988	112	25	transistors	transistor	NOUN
ajtas-2988	112	26	,	,	PUNCT
ajtas-2988	112	27	"	"	PUNCT
ajtas-2988	112	28	semiconductor	semiconductor	NOUN
ajtas-2988	112	29	science	science	NOUN
ajtas-2988	112	30	and	and	CCONJ
ajtas-2988	112	31	technology	technology	NOUN
ajtas-2988	112	32	,	,	PUNCT
ajtas-2988	112	33	vol	vol	NOUN
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ajtas-2988	112	36	,	,	PUNCT
ajtas-2988	112	37	p.	p.	NOUN
ajtas-2988	112	38	32	32	NUM
ajtas-2988	112	39	,	,	PUNCT
ajtas-2988	112	40	2022	2022	NUM
ajtas-2988	112	41	.	.	PUNCT
ajtas-2988	113	1	[	[	X
ajtas-2988	113	2	11	11	NUM
ajtas-2988	113	3	]	]	PUNCT
ajtas-2988	113	4	s.	s.	PROPN
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ajtas-2988	113	8	m.	m.	NOUN
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ajtas-2988	113	10	,	,	PUNCT
ajtas-2988	113	11	"	"	PUNCT
ajtas-2988	113	12	electronic	electronic	ADJ
ajtas-2988	113	13	structure	structure	NOUN
ajtas-2988	113	14	of	of	ADP
ajtas-2988	113	15	quantum	quantum	ADJ
ajtas-2988	113	16	dots	dot	NOUN
ajtas-2988	113	17	,	,	PUNCT
ajtas-2988	113	18	"	"	PUNCT
ajtas-2988	113	19	reviews	review	NOUN
ajtas-2988	113	20	of	of	ADP
ajtas-2988	113	21	modern	modern	ADJ
ajtas-2988	113	22	physics	physic	NOUN
ajtas-2988	113	23	,	,	PUNCT
ajtas-2988	113	24	vol	vol	NOUN
ajtas-2988	113	25	.	.	PROPN
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ajtas-2988	114	2	,	,	PUNCT
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ajtas-2988	114	5	4	4	NUM
ajtas-2988	114	6	,	,	PUNCT
ajtas-2988	114	7	pp	pp	ADJ
ajtas-2988	114	8	.	.	PUNCT
ajtas-2988	115	1	1283	1283	NUM
ajtas-2988	115	2	-	-	SYM
ajtas-2988	115	3	1342	1342	NUM
ajtas-2988	115	4	,	,	PUNCT
ajtas-2988	115	5	2002	2002	NUM
ajtas-2988	115	6	.	.	PUNCT
ajtas-2988	116	1	[	[	X
ajtas-2988	116	2	12	12	NUM
ajtas-2988	116	3	]	]	PUNCT
ajtas-2988	116	4	a.	a.	NOUN
ajtas-2988	116	5	g.	g.	PROPN
ajtas-2988	116	6	shulga	shulga	PROPN
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ajtas-2988	116	8	"	"	PUNCT
ajtas-2988	116	9	colloidal	colloidal	NOUN
ajtas-2988	116	10	quantum	quantum	NOUN
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ajtas-2988	116	14	effect	effect	NOUN
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ajtas-2988	116	16	,	,	PUNCT
ajtas-2988	116	17	"	"	PUNCT
ajtas-2988	116	18	ph.d	ph.d	PROPN
ajtas-2988	116	19	.	.	PUNCT
ajtas-2988	117	1	dissertation	dissertation	NOUN
ajtas-2988	117	2	,	,	PUNCT
ajtas-2988	117	3	university	university	NOUN
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ajtas-2988	117	7	netherlands	netherlands	PROPN
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ajtas-2988	118	2	13	13	NUM
ajtas-2988	118	3	]	]	X
ajtas-2988	118	4	h.	h.	PROPN
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ajtas-2988	118	6	,	,	PUNCT
ajtas-2988	118	7	"	"	PUNCT
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ajtas-2988	118	10	applications	application	NOUN
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ajtas-2988	118	13	-	-	PUNCT
ajtas-2988	118	14	effect	effect	NOUN
ajtas-2988	118	15	transistors	transistor	NOUN
ajtas-2988	118	16	in	in	ADP
ajtas-2988	118	17	modern	modern	ADJ
ajtas-2988	118	18	electronics	electronic	NOUN
ajtas-2988	118	19	,	,	PUNCT
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ajtas-2988	118	24	,	,	PUNCT
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ajtas-2988	118	30	.	.	PROPN
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ajtas-2988	118	34	.	.	PUNCT
ajtas-2988	119	1	318	318	NUM
ajtas-2988	119	2	-	-	SYM
ajtas-2988	119	3	322	322	NUM
ajtas-2988	119	4	,	,	PUNCT
ajtas-2988	119	5	2024	2024	NUM
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ajtas-2988	120	2	14	14	NUM
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ajtas-2988	120	16	n.	n.	PROPN
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ajtas-2988	120	25	as	as	ADP
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ajtas-2988	120	29	at	at	ADP
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ajtas-2988	120	32	,	,	PUNCT
ajtas-2988	120	33	"	"	PUNCT
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ajtas-2988	120	36	,	,	PUNCT
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ajtas-2988	120	40	,	,	PUNCT
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ajtas-2988	120	42	.	.	PUNCT
ajtas-2988	120	43	8587	8587	NUM
ajtas-2988	120	44	-	-	SYM
ajtas-2988	120	45	8594	8594	NUM
ajtas-2988	120	46	,	,	PUNCT
ajtas-2988	120	47	2021	2021	NUM
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ajtas-2988	121	4	m.	m.	NOUN
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ajtas-2988	121	8	portier	portier	PROPN
ajtas-2988	121	9	,	,	PUNCT
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ajtas-2988	121	29	,	,	PUNCT
ajtas-2988	121	30	"	"	PUNCT
ajtas-2988	121	31	physical	physical	ADJ
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ajtas-2988	121	34	,	,	PUNCT
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ajtas-2988	121	36	.	.	PROPN
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ajtas-2988	121	42	,	,	PUNCT
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ajtas-2988	121	44	.	.	PUNCT
ajtas-2988	122	1	217005	217005	NUM
ajtas-2988	122	2	-	-	SYM
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ajtas-2988	122	4	-	-	PUNCT
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ajtas-2988	122	6	-	-	SYM
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ajtas-2988	122	8	,	,	PUNCT
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ajtas-2988	123	2	16	16	NUM
ajtas-2988	123	3	]	]	PUNCT
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ajtas-2988	123	33	,	,	PUNCT
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ajtas-2988	123	37	,	,	PUNCT
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ajtas-2988	123	41	,	,	PUNCT
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ajtas-2988	123	43	.	.	PUNCT
ajtas-2988	123	44	5357	5357	NUM
ajtas-2988	123	45	,	,	PUNCT
ajtas-2988	123	46	2009	2009	NUM
ajtas-2988	123	47	.	.	PUNCT
ajtas-2988	124	1	[	[	X
ajtas-2988	124	2	17	17	NUM
ajtas-2988	124	3	]	]	PUNCT
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ajtas-2988	124	9	v.	v.	ADP
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ajtas-2988	124	13	a.	a.	PROPN
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ajtas-2988	124	19	,	,	PUNCT
ajtas-2988	124	20	a.	a.	PROPN
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ajtas-2988	124	24	a.	a.	PROPN
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ajtas-2988	124	29	blokada	blokada	NOUN
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ajtas-2988	124	35	,	,	PUNCT
ajtas-2988	124	36	"	"	PUNCT
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ajtas-2988	124	40	,	,	PUNCT
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ajtas-2988	124	42	.	.	PROPN
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ajtas-2988	124	46	.	.	NOUN
ajtas-2988	124	47	3	3	NUM
ajtas-2988	124	48	,	,	PUNCT
ajtas-2988	124	49	pp	pp	ADJ
ajtas-2988	124	50	.	.	PUNCT
ajtas-2988	125	1	176	176	NUM
ajtas-2988	125	2	-	-	SYM
ajtas-2988	125	3	180	180	NUM
ajtas-2988	125	4	,	,	PUNCT
ajtas-2988	125	5	2008	2008	NUM
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