id	sid	tid	token	lemma	pos
ap-1344	1	1	wykresx.eps	wykresx.eps	X
ap-1344	1	2	acta	acta	PROPN
ap-1344	1	3	polytechnica	polytechnica	PROPN
ap-1344	1	4	vol	vol	NOUN
ap-1344	1	5	.	.	PUNCT
ap-1344	2	1	51	51	NUM
ap-1344	2	2	no	no	NOUN
ap-1344	2	3	.	.	PUNCT
ap-1344	3	1	1/2011	1/2011	NUM
ap-1344	3	2	thermal	thermal	ADJ
ap-1344	3	3	entanglement	entanglement	NOUN
ap-1344	3	4	and	and	CCONJ
ap-1344	3	5	critical	critical	ADJ
ap-1344	3	6	behavior	behavior	NOUN
ap-1344	3	7	of	of	ADP
ap-1344	3	8	magnetic	magnetic	ADJ
ap-1344	3	9	properties	property	NOUN
ap-1344	3	10	on	on	ADP
ap-1344	3	11	a	a	DET
ap-1344	3	12	triangulated	triangulate	VERB
ap-1344	3	13	kagomé	kagomé	NOUN
ap-1344	3	14	lattice	lattice	PROPN
ap-1344	3	15	n.	n.	PROPN
ap-1344	3	16	ananikian	ananikian	PROPN
ap-1344	3	17	,	,	PUNCT
ap-1344	3	18	l.	l.	PROPN
ap-1344	3	19	ananikyan	ananikyan	PROPN
ap-1344	3	20	,	,	PUNCT
ap-1344	3	21	l.	l.	PROPN
ap-1344	3	22	chakhmakhchyan	chakhmakhchyan	PROPN
ap-1344	3	23	,	,	PUNCT
ap-1344	3	24	a.	a.	PROPN
ap-1344	3	25	kocharian	kocharian	PROPN
ap-1344	3	26	abstract	abstract	PROPN
ap-1344	3	27	the	the	DET
ap-1344	3	28	equilibrium	equilibrium	NOUN
ap-1344	3	29	magnetic	magnetic	ADJ
ap-1344	3	30	and	and	CCONJ
ap-1344	3	31	entanglement	entanglement	NOUN
ap-1344	3	32	properties	property	NOUN
ap-1344	3	33	in	in	ADP
ap-1344	3	34	a	a	DET
ap-1344	3	35	spin-1/2	spin-1/2	NOUN
ap-1344	3	36	ising	ise	VERB
ap-1344	3	37	-	-	PUNCT
ap-1344	3	38	heisenberg	heisenberg	PROPN
ap-1344	3	39	model	model	NOUN
ap-1344	3	40	on	on	ADP
ap-1344	3	41	a	a	DET
ap-1344	3	42	triangulated	triangulate	VERB
ap-1344	3	43	kagomé	kagomé	NOUN
ap-1344	3	44	lattice	lattice	NOUN
ap-1344	3	45	are	be	AUX
ap-1344	3	46	analyzed	analyze	VERB
ap-1344	3	47	by	by	ADP
ap-1344	3	48	means	mean	NOUN
ap-1344	3	49	of	of	ADP
ap-1344	3	50	the	the	DET
ap-1344	3	51	effective	effective	ADJ
ap-1344	3	52	field	field	NOUN
ap-1344	3	53	for	for	ADP
ap-1344	3	54	the	the	DET
ap-1344	3	55	gibbs	gibbs	PROPN
ap-1344	3	56	-	-	PUNCT
ap-1344	3	57	bogoliubov	bogoliubov	PROPN
ap-1344	3	58	inequality	inequality	NOUN
ap-1344	3	59	.	.	PUNCT
ap-1344	4	1	the	the	DET
ap-1344	4	2	calculation	calculation	NOUN
ap-1344	4	3	is	be	AUX
ap-1344	4	4	reduced	reduce	VERB
ap-1344	4	5	to	to	ADP
ap-1344	4	6	decoupled	decouple	VERB
ap-1344	4	7	individual	individual	ADJ
ap-1344	4	8	(	(	PUNCT
ap-1344	4	9	clusters	cluster	NOUN
ap-1344	4	10	)	)	PUNCT
ap-1344	4	11	trimers	trimer	NOUN
ap-1344	4	12	due	due	ADJ
ap-1344	4	13	to	to	ADP
ap-1344	4	14	the	the	DET
ap-1344	4	15	separable	separable	ADJ
ap-1344	4	16	character	character	NOUN
ap-1344	4	17	of	of	ADP
ap-1344	4	18	the	the	DET
ap-1344	4	19	ising	ise	VERB
ap-1344	4	20	-	-	PUNCT
ap-1344	4	21	type	type	NOUN
ap-1344	4	22	exchange	exchange	NOUN
ap-1344	4	23	interactions	interaction	NOUN
ap-1344	4	24	between	between	ADP
ap-1344	4	25	the	the	DET
ap-1344	4	26	heisenberg	heisenberg	PROPN
ap-1344	4	27	trimers	trimer	NOUN
ap-1344	4	28	.	.	PUNCT
ap-1344	5	1	the	the	DET
ap-1344	5	2	concurrence	concurrence	NOUN
ap-1344	5	3	in	in	ADP
ap-1344	5	4	terms	term	NOUN
ap-1344	5	5	of	of	ADP
ap-1344	5	6	the	the	DET
ap-1344	5	7	three	three	NUM
ap-1344	5	8	qubit	qubit	NOUN
ap-1344	5	9	isotropic	isotropic	NOUN
ap-1344	5	10	heisenberg	heisenberg	PROPN
ap-1344	5	11	model	model	NOUN
ap-1344	5	12	in	in	ADP
ap-1344	5	13	the	the	DET
ap-1344	5	14	effective	effective	ADJ
ap-1344	5	15	ising	ise	VERB
ap-1344	5	16	field	field	NOUN
ap-1344	5	17	in	in	ADP
ap-1344	5	18	the	the	DET
ap-1344	5	19	absence	absence	NOUN
ap-1344	5	20	of	of	ADP
ap-1344	5	21	a	a	DET
ap-1344	5	22	magnetic	magnetic	ADJ
ap-1344	5	23	field	field	NOUN
ap-1344	5	24	is	be	AUX
ap-1344	5	25	non	non	ADJ
ap-1344	5	26	-	-	ADJ
ap-1344	5	27	zero	zero	NUM
ap-1344	5	28	.	.	PUNCT
ap-1344	6	1	the	the	DET
ap-1344	6	2	magnetic	magnetic	ADJ
ap-1344	6	3	and	and	CCONJ
ap-1344	6	4	entanglement	entanglement	NOUN
ap-1344	6	5	properties	property	NOUN
ap-1344	6	6	exhibit	exhibit	VERB
ap-1344	6	7	common	common	ADJ
ap-1344	6	8	(	(	PUNCT
ap-1344	6	9	plateau	plateau	NOUN
ap-1344	6	10	,	,	PUNCT
ap-1344	6	11	peak	peak	NOUN
ap-1344	6	12	)	)	PUNCT
ap-1344	6	13	features	feature	NOUN
ap-1344	6	14	driven	drive	VERB
ap-1344	6	15	by	by	ADP
ap-1344	6	16	a	a	DET
ap-1344	6	17	magnetic	magnetic	ADJ
ap-1344	6	18	field	field	NOUN
ap-1344	6	19	and	and	CCONJ
ap-1344	6	20	(	(	PUNCT
ap-1344	6	21	antiferromagnetic	antiferromagnetic	ADJ
ap-1344	6	22	)	)	PUNCT
ap-1344	6	23	exchange	exchange	NOUN
ap-1344	6	24	interaction	interaction	NOUN
ap-1344	6	25	.	.	PUNCT
ap-1344	7	1	the	the	DET
ap-1344	7	2	(	(	PUNCT
ap-1344	7	3	quantum	quantum	NOUN
ap-1344	7	4	)	)	PUNCT
ap-1344	7	5	entangled	entangled	ADJ
ap-1344	7	6	and	and	CCONJ
ap-1344	7	7	non	non	ADJ
ap-1344	7	8	-	-	ADJ
ap-1344	7	9	entangled	entangled	ADJ
ap-1344	7	10	phases	phase	NOUN
ap-1344	7	11	can	can	AUX
ap-1344	7	12	be	be	AUX
ap-1344	7	13	exploited	exploit	VERB
ap-1344	7	14	as	as	ADP
ap-1344	7	15	a	a	DET
ap-1344	7	16	useful	useful	ADJ
ap-1344	7	17	tool	tool	NOUN
ap-1344	7	18	for	for	ADP
ap-1344	7	19	signalling	signal	VERB
ap-1344	7	20	the	the	DET
ap-1344	7	21	quantum	quantum	ADJ
ap-1344	7	22	phase	phase	NOUN
ap-1344	7	23	transitions	transition	NOUN
ap-1344	7	24	and	and	CCONJ
ap-1344	7	25	crossovers	crossover	NOUN
ap-1344	7	26	at	at	ADP
ap-1344	7	27	finite	finite	ADJ
ap-1344	7	28	temperatures	temperature	NOUN
ap-1344	7	29	.	.	PUNCT
ap-1344	8	1	the	the	DET
ap-1344	8	2	critical	critical	ADJ
ap-1344	8	3	temperature	temperature	NOUN
ap-1344	8	4	of	of	ADP
ap-1344	8	5	order	order	NOUN
ap-1344	8	6	-	-	PUNCT
ap-1344	8	7	disorder	disorder	NOUN
ap-1344	8	8	coincides	coincide	VERB
ap-1344	8	9	with	with	ADP
ap-1344	8	10	the	the	DET
ap-1344	8	11	threshold	threshold	NOUN
ap-1344	8	12	temperature	temperature	NOUN
ap-1344	8	13	of	of	ADP
ap-1344	8	14	thermal	thermal	ADJ
ap-1344	8	15	entanglement	entanglement	NOUN
ap-1344	8	16	.	.	PUNCT
ap-1344	9	1	keywords	keyword	NOUN
ap-1344	9	2	:	:	PUNCT
ap-1344	9	3	triangulated	triangulate	VERB
ap-1344	9	4	kagomé	kagomé	NOUN
ap-1344	9	5	lattice	lattice	PROPN
ap-1344	9	6	,	,	PUNCT
ap-1344	9	7	ising	ise	VERB
ap-1344	9	8	-	-	PUNCT
ap-1344	9	9	heisenberg	heisenberg	PROPN
ap-1344	9	10	model	model	NOUN
ap-1344	9	11	,	,	PUNCT
ap-1344	9	12	gibbs	gibbs	PROPN
ap-1344	9	13	-	-	PUNCT
ap-1344	9	14	bogoliubov	bogoliubov	PROPN
ap-1344	9	15	inequality	inequality	NOUN
ap-1344	9	16	,	,	PUNCT
ap-1344	9	17	entanglement	entanglement	NOUN
ap-1344	9	18	,	,	PUNCT
ap-1344	9	19	concurrence	concurrence	NOUN
ap-1344	9	20	.	.	PUNCT
ap-1344	10	1	1	1	NUM
ap-1344	10	2	introduction	introduction	NOUN
ap-1344	10	3	geometrically	geometrically	ADV
ap-1344	10	4	frustrated	frustrated	ADJ
ap-1344	10	5	spin	spin	NOUN
ap-1344	10	6	systems	system	NOUN
ap-1344	10	7	exhibit	exhibit	VERB
ap-1344	10	8	fascinating	fascinating	ADJ
ap-1344	10	9	new	new	ADJ
ap-1344	10	10	phases	phase	NOUN
ap-1344	10	11	of	of	ADP
ap-1344	10	12	matter	matter	NOUN
ap-1344	10	13	,	,	PUNCT
ap-1344	10	14	a	a	DET
ap-1344	10	15	rich	rich	ADJ
ap-1344	10	16	variety	variety	NOUN
ap-1344	10	17	of	of	ADP
ap-1344	10	18	unusual	unusual	ADJ
ap-1344	10	19	ground	ground	NOUN
ap-1344	10	20	states	state	NOUN
ap-1344	10	21	and	and	CCONJ
ap-1344	10	22	thermal	thermal	ADJ
ap-1344	10	23	properties	property	NOUN
ap-1344	10	24	as	as	ADP
ap-1344	10	25	a	a	DET
ap-1344	10	26	result	result	NOUN
ap-1344	10	27	of	of	ADP
ap-1344	10	28	zero	zero	NUM
ap-1344	10	29	and	and	CCONJ
ap-1344	10	30	finite	finite	ADJ
ap-1344	10	31	temperature	temperature	NOUN
ap-1344	10	32	phase	phase	NOUN
ap-1344	10	33	transitions	transition	NOUN
ap-1344	10	34	driven	drive	VERB
ap-1344	10	35	by	by	ADP
ap-1344	10	36	quantum	quantum	ADJ
ap-1344	10	37	and	and	CCONJ
ap-1344	10	38	thermal	thermal	ADJ
ap-1344	10	39	fluctuations	fluctuation	NOUN
ap-1344	10	40	,	,	PUNCT
ap-1344	10	41	respectively	respectively	ADV
ap-1344	10	42	[	[	X
ap-1344	10	43	1	1	NUM
ap-1344	10	44	]	]	PUNCT
ap-1344	10	45	.	.	PUNCT
ap-1344	11	1	the	the	DET
ap-1344	11	2	efforts	effort	NOUN
ap-1344	11	3	aimed	aim	VERB
ap-1344	11	4	at	at	ADP
ap-1344	11	5	a	a	DET
ap-1344	11	6	better	well	ADJ
ap-1344	11	7	understanding	understanding	NOUN
ap-1344	11	8	of	of	ADP
ap-1344	11	9	these	these	DET
ap-1344	11	10	phenomena	phenomenon	NOUN
ap-1344	11	11	have	have	AUX
ap-1344	11	12	stimulated	stimulate	VERB
ap-1344	11	13	an	an	DET
ap-1344	11	14	intensive	intensive	ADJ
ap-1344	11	15	search	search	NOUN
ap-1344	11	16	for	for	ADP
ap-1344	11	17	transition	transition	NOUN
ap-1344	11	18	-	-	PUNCT
ap-1344	11	19	metal	metal	NOUN
ap-1344	11	20	magnetic	magnetic	ADJ
ap-1344	11	21	and	and	CCONJ
ap-1344	11	22	molecular	molecular	ADJ
ap-1344	11	23	materials	material	NOUN
ap-1344	11	24	whose	whose	DET
ap-1344	11	25	paramagnetic	paramagnetic	ADJ
ap-1344	11	26	metal	metal	NOUN
ap-1344	11	27	centers	center	NOUN
ap-1344	11	28	can	can	AUX
ap-1344	11	29	be	be	AUX
ap-1344	11	30	strongly	strongly	ADV
ap-1344	11	31	frustrated	frustrate	VERB
ap-1344	11	32	by	by	ADP
ap-1344	11	33	local	local	ADJ
ap-1344	11	34	geometric	geometric	ADJ
ap-1344	11	35	structures	structure	NOUN
ap-1344	11	36	.	.	PUNCT
ap-1344	12	1	one	one	NUM
ap-1344	12	2	of	of	ADP
ap-1344	12	3	the	the	DET
ap-1344	12	4	most	most	ADV
ap-1344	12	5	interesting	interesting	ADJ
ap-1344	12	6	geometrically	geometrically	ADV
ap-1344	12	7	frustrated	frustrate	VERB
ap-1344	12	8	magnetic	magnetic	ADJ
ap-1344	12	9	two	two	NUM
ap-1344	12	10	-	-	PUNCT
ap-1344	12	11	dimensional	dimensional	ADJ
ap-1344	12	12	structures	structure	NOUN
ap-1344	12	13	is	be	AUX
ap-1344	12	14	the	the	DET
ap-1344	12	15	triangulated	triangulate	VERB
ap-1344	12	16	kagomé	kagomé	NOUN
ap-1344	12	17	(	(	PUNCT
ap-1344	12	18	triangles	triangle	NOUN
ap-1344	12	19	-	-	PUNCT
ap-1344	12	20	in	in	ADP
ap-1344	12	21	-	-	PUNCT
ap-1344	12	22	triangles	triangle	NOUN
ap-1344	12	23	)	)	PUNCT
ap-1344	12	24	lattice	lattice	NOUN
ap-1344	12	25	,	,	PUNCT
ap-1344	12	26	which	which	PRON
ap-1344	12	27	can	can	AUX
ap-1344	12	28	be	be	AUX
ap-1344	12	29	applied	apply	VERB
ap-1344	12	30	to	to	ADP
ap-1344	12	31	the	the	DET
ap-1344	12	32	magnet	magnet	NOUN
ap-1344	12	33	cu9x2(cpa)6	cu9x2(cpa)6	NOUN
ap-1344	12	34	·	·	PUNCT
ap-1344	12	35	nh2o	nh2o	NOUN
ap-1344	12	36	(	(	PUNCT
ap-1344	12	37	x	x	SYM
ap-1344	12	38	=	=	SYM
ap-1344	12	39	f	f	PROPN
ap-1344	12	40	,	,	PUNCT
ap-1344	12	41	cl	cl	NOUN
ap-1344	12	42	,	,	PUNCT
ap-1344	12	43	br	br	PROPN
ap-1344	12	44	and	and	CCONJ
ap-1344	12	45	cpa	cpa	PROPN
ap-1344	12	46	=	=	NOUN
ap-1344	12	47	carboxypentonic	carboxypentonic	NOUN
ap-1344	12	48	acid	acid	NOUN
ap-1344	12	49	)	)	PUNCT
ap-1344	13	1	[	[	X
ap-1344	13	2	2	2	NUM
ap-1344	13	3	]	]	PUNCT
ap-1344	13	4	.	.	PUNCT
ap-1344	14	1	the	the	DET
ap-1344	14	2	magnetic	magnetic	ADJ
ap-1344	14	3	architecture	architecture	NOUN
ap-1344	14	4	of	of	ADP
ap-1344	14	5	these	these	DET
ap-1344	14	6	series	series	NOUN
ap-1344	14	7	of	of	ADP
ap-1344	14	8	compounds	compound	NOUN
ap-1344	14	9	,	,	PUNCT
ap-1344	14	10	which	which	PRON
ap-1344	14	11	can	can	AUX
ap-1344	14	12	be	be	AUX
ap-1344	14	13	regarded	regard	VERB
ap-1344	14	14	as	as	ADP
ap-1344	14	15	a	a	DET
ap-1344	14	16	triangulated	triangulate	VERB
ap-1344	14	17	kagomé	kagomé	NOUN
ap-1344	14	18	lattice	lattice	NOUN
ap-1344	14	19	(	(	PUNCT
ap-1344	14	20	fig	fig	NOUN
ap-1344	14	21	.	.	NOUN
ap-1344	14	22	1	1	NUM
ap-1344	14	23	)	)	PUNCT
ap-1344	14	24	,	,	PUNCT
ap-1344	14	25	is	be	AUX
ap-1344	14	26	currently	currently	ADV
ap-1344	14	27	under	under	ADP
ap-1344	14	28	active	active	ADJ
ap-1344	14	29	theoretical	theoretical	ADJ
ap-1344	14	30	investigation	investigation	NOUN
ap-1344	14	31	[	[	X
ap-1344	14	32	3	3	NUM
ap-1344	14	33	]	]	PUNCT
ap-1344	14	34	.	.	PUNCT
ap-1344	15	1	the	the	DET
ap-1344	15	2	spin1	spin1	NOUN
ap-1344	15	3	2	2	NUM
ap-1344	15	4	isingheisenberg	isingheisenberg	PROPN
ap-1344	15	5	model	model	NOUN
ap-1344	15	6	on	on	ADP
ap-1344	15	7	this	this	DET
ap-1344	15	8	lattice	lattice	NOUN
ap-1344	15	9	,	,	PUNCT
ap-1344	15	10	which	which	PRON
ap-1344	15	11	takes	take	VERB
ap-1344	15	12	into	into	ADP
ap-1344	15	13	account	account	NOUN
ap-1344	15	14	quantum	quantum	NOUN
ap-1344	15	15	interactions	interaction	NOUN
ap-1344	15	16	between	between	ADP
ap-1344	15	17	cu2	cu2	NOUN
ap-1344	15	18	+	+	NOUN
ap-1344	15	19	ions	ion	NOUN
ap-1344	15	20	in	in	ADP
ap-1344	15	21	a	a	DET
ap-1344	15	22	-	-	PUNCT
ap-1344	15	23	sites	site	NOUN
ap-1344	15	24	,	,	PUNCT
ap-1344	15	25	in	in	ADP
ap-1344	15	26	the	the	DET
ap-1344	15	27	limit	limit	NOUN
ap-1344	15	28	when	when	SCONJ
ap-1344	15	29	monomeric	monomeric	ADJ
ap-1344	15	30	b	b	NOUN
ap-1344	15	31	-	-	PUNCT
ap-1344	15	32	spins	spin	NOUN
ap-1344	15	33	having	have	VERB
ap-1344	15	34	an	an	DET
ap-1344	15	35	exchange	exchange	NOUN
ap-1344	15	36	of	of	ADP
ap-1344	15	37	ising	ise	VERB
ap-1344	15	38	character	character	NOUN
ap-1344	15	39	,	,	PUNCT
ap-1344	15	40	provides	provide	VERB
ap-1344	15	41	a	a	DET
ap-1344	15	42	rich	rich	ADJ
ap-1344	15	43	physics	physics	NOUN
ap-1344	15	44	and	and	CCONJ
ap-1344	15	45	displays	display	VERB
ap-1344	15	46	the	the	DET
ap-1344	15	47	essential	essential	ADJ
ap-1344	15	48	features	feature	NOUN
ap-1344	15	49	of	of	ADP
ap-1344	15	50	the	the	DET
ap-1344	15	51	copper	copper	NOUN
ap-1344	15	52	based	base	VERB
ap-1344	15	53	coordination	coordination	NOUN
ap-1344	15	54	compounds	compound	VERB
ap-1344	15	55	[	[	X
ap-1344	15	56	4	4	NUM
ap-1344	15	57	,	,	PUNCT
ap-1344	15	58	5	5	NUM
ap-1344	15	59	]	]	PUNCT
ap-1344	15	60	.	.	PUNCT
ap-1344	16	1	entanglement	entanglement	NOUN
ap-1344	16	2	is	be	AUX
ap-1344	16	3	a	a	DET
ap-1344	16	4	generic	generic	ADJ
ap-1344	16	5	feature	feature	NOUN
ap-1344	16	6	of	of	ADP
ap-1344	16	7	quantum	quantum	NOUN
ap-1344	16	8	correlations	correlation	NOUN
ap-1344	16	9	in	in	ADP
ap-1344	16	10	systems	system	NOUN
ap-1344	16	11	,	,	PUNCT
ap-1344	16	12	which	which	PRON
ap-1344	16	13	can	can	AUX
ap-1344	16	14	not	not	PART
ap-1344	16	15	be	be	AUX
ap-1344	16	16	quantified	quantify	VERB
ap-1344	16	17	classically	classically	ADV
ap-1344	16	18	[	[	X
ap-1344	16	19	6	6	NUM
ap-1344	16	20	]	]	PUNCT
ap-1344	16	21	.	.	PUNCT
ap-1344	17	1	it	it	PRON
ap-1344	17	2	provides	provide	VERB
ap-1344	17	3	a	a	DET
ap-1344	17	4	new	new	ADJ
ap-1344	17	5	perspective	perspective	NOUN
ap-1344	17	6	for	for	ADP
ap-1344	17	7	understanding	understand	VERB
ap-1344	17	8	quantum	quantum	NOUN
ap-1344	17	9	phase	phase	NOUN
ap-1344	17	10	transitions	transition	NOUN
ap-1344	17	11	(	(	PUNCT
ap-1344	17	12	qpts	qpt	NOUN
ap-1344	17	13	)	)	PUNCT
ap-1344	17	14	and	and	CCONJ
ap-1344	17	15	collective	collective	ADJ
ap-1344	17	16	many	many	ADJ
ap-1344	17	17	-	-	PUNCT
ap-1344	17	18	body	body	NOUN
ap-1344	17	19	phenomena	phenomenon	NOUN
ap-1344	17	20	in	in	ADP
ap-1344	17	21	condensed	condense	VERB
ap-1344	17	22	matter	matter	NOUN
ap-1344	17	23	physics	physics	NOUN
ap-1344	17	24	.	.	PUNCT
ap-1344	18	1	a	a	DET
ap-1344	18	2	key	key	ADJ
ap-1344	18	3	novel	novel	ADJ
ap-1344	18	4	observation	observation	NOUN
ap-1344	18	5	is	be	AUX
ap-1344	18	6	that	that	SCONJ
ap-1344	18	7	quantum	quantum	NOUN
ap-1344	18	8	entanglement	entanglement	NOUN
ap-1344	18	9	can	can	AUX
ap-1344	18	10	play	play	VERB
ap-1344	18	11	an	an	DET
ap-1344	18	12	important	important	ADJ
ap-1344	18	13	role	role	NOUN
ap-1344	18	14	in	in	ADP
ap-1344	18	15	proximity	proximity	NOUN
ap-1344	18	16	to	to	ADP
ap-1344	18	17	qpts	qpt	NOUN
ap-1344	18	18	controlled	control	VERB
ap-1344	18	19	by	by	ADP
ap-1344	18	20	quantum	quantum	ADJ
ap-1344	18	21	fluctuations	fluctuation	NOUN
ap-1344	18	22	in	in	ADP
ap-1344	18	23	the	the	DET
ap-1344	18	24	vicinity	vicinity	NOUN
ap-1344	18	25	of	of	ADP
ap-1344	18	26	quantum	quantum	ADJ
ap-1344	18	27	critical	critical	ADJ
ap-1344	18	28	points	point	NOUN
ap-1344	18	29	.	.	PUNCT
ap-1344	19	1	a	a	DET
ap-1344	19	2	new	new	ADJ
ap-1344	19	3	line	line	NOUN
ap-1344	19	4	of	of	ADP
ap-1344	19	5	research	research	NOUN
ap-1344	19	6	points	point	NOUN
ap-1344	19	7	to	to	ADP
ap-1344	19	8	a	a	DET
ap-1344	19	9	connection	connection	NOUN
ap-1344	19	10	between	between	ADP
ap-1344	19	11	the	the	DET
ap-1344	19	12	entanglement	entanglement	NOUN
ap-1344	19	13	of	of	ADP
ap-1344	19	14	a	a	DET
ap-1344	19	15	many	many	ADJ
ap-1344	19	16	-	-	PUNCT
ap-1344	19	17	particle	particle	NOUN
ap-1344	19	18	system	system	NOUN
ap-1344	19	19	and	and	CCONJ
ap-1344	19	20	the	the	DET
ap-1344	19	21	existence	existence	NOUN
ap-1344	19	22	of	of	ADP
ap-1344	19	23	qpts	qpt	NOUN
ap-1344	19	24	and	and	CCONJ
ap-1344	19	25	scaling	scale	VERB
ap-1344	19	26	[	[	X
ap-1344	19	27	7	7	NUM
ap-1344	19	28	]	]	PUNCT
ap-1344	19	29	.	.	PUNCT
ap-1344	20	1	the	the	DET
ap-1344	20	2	basic	basic	ADJ
ap-1344	20	3	features	feature	NOUN
ap-1344	20	4	of	of	ADP
ap-1344	20	5	entanglement	entanglement	NOUN
ap-1344	20	6	in	in	ADP
ap-1344	20	7	spin1	spin1	NOUN
ap-1344	20	8	2	2	NUM
ap-1344	20	9	finite	finite	NOUN
ap-1344	20	10	systems	system	NOUN
ap-1344	20	11	are	be	AUX
ap-1344	20	12	fairly	fairly	ADV
ap-1344	20	13	well	well	ADV
ap-1344	20	14	understood	understand	VERB
ap-1344	20	15	by	by	ADP
ap-1344	20	16	now	now	ADV
ap-1344	20	17	,	,	PUNCT
ap-1344	20	18	while	while	SCONJ
ap-1344	20	19	the	the	DET
ap-1344	20	20	role	role	NOUN
ap-1344	20	21	of	of	ADP
ap-1344	20	22	local	local	ADJ
ap-1344	20	23	cluster	cluster	NOUN
ap-1344	20	24	topology	topology	NOUN
ap-1344	20	25	and	and	CCONJ
ap-1344	20	26	spin	spin	VERB
ap-1344	20	27	correlations	correlation	NOUN
ap-1344	20	28	in	in	ADP
ap-1344	20	29	the	the	DET
ap-1344	20	30	thermodynamic	thermodynamic	ADJ
ap-1344	20	31	limit	limit	NOUN
ap-1344	20	32	still	still	ADV
ap-1344	20	33	remains	remain	VERB
ap-1344	20	34	unanswered	unanswered	ADJ
ap-1344	20	35	.	.	PUNCT
ap-1344	21	1	effective	effective	ADJ
ap-1344	21	2	field	field	NOUN
ap-1344	21	3	theories	theory	NOUN
ap-1344	21	4	can	can	AUX
ap-1344	21	5	be	be	AUX
ap-1344	21	6	offered	offer	VERB
ap-1344	21	7	by	by	ADP
ap-1344	21	8	using	use	VERB
ap-1344	21	9	the	the	DET
ap-1344	21	10	gibbs	gibbs	PROPN
ap-1344	21	11	-	-	PUNCT
ap-1344	21	12	bogoliubov	bogoliubov	PROPN
ap-1344	21	13	inequality	inequality	NOUN
ap-1344	21	14	for	for	ADP
ap-1344	21	15	studying	study	VERB
ap-1344	21	16	the	the	DET
ap-1344	21	17	thermodynamic	thermodynamic	ADJ
ap-1344	21	18	and	and	CCONJ
ap-1344	21	19	thermal	thermal	ADJ
ap-1344	21	20	entanglement	entanglement	NOUN
ap-1344	21	21	properties	property	NOUN
ap-1344	21	22	of	of	ADP
ap-1344	21	23	many	many	ADJ
ap-1344	21	24	-	-	PUNCT
ap-1344	21	25	body	body	NOUN
ap-1344	21	26	systems	system	NOUN
ap-1344	21	27	[	[	X
ap-1344	21	28	8	8	NUM
ap-1344	21	29	]	]	PUNCT
ap-1344	21	30	.	.	PUNCT
ap-1344	22	1	although	although	SCONJ
ap-1344	22	2	the	the	DET
ap-1344	22	3	method	method	NOUN
ap-1344	22	4	is	be	AUX
ap-1344	22	5	not	not	PART
ap-1344	22	6	exact	exact	ADJ
ap-1344	22	7	,	,	PUNCT
ap-1344	22	8	it	it	PRON
ap-1344	22	9	is	be	AUX
ap-1344	22	10	still	still	ADV
ap-1344	22	11	possible	possible	ADJ
ap-1344	22	12	to	to	PART
ap-1344	22	13	see	see	VERB
ap-1344	22	14	regions	region	NOUN
ap-1344	22	15	of	of	ADP
ap-1344	22	16	criticality	criticality	NOUN
ap-1344	22	17	[	[	X
ap-1344	22	18	9	9	NUM
ap-1344	22	19	]	]	PUNCT
ap-1344	22	20	.	.	PUNCT
ap-1344	23	1	unlike	unlike	ADP
ap-1344	23	2	a	a	DET
ap-1344	23	3	classical	classical	ADJ
ap-1344	23	4	transition	transition	NOUN
ap-1344	23	5	,	,	PUNCT
ap-1344	23	6	controlled	control	VERB
ap-1344	23	7	by	by	ADP
ap-1344	23	8	temperature	temperature	NOUN
ap-1344	23	9	,	,	PUNCT
ap-1344	23	10	a	a	DET
ap-1344	23	11	quantum	quantum	NOUN
ap-1344	23	12	phase	phase	NOUN
ap-1344	23	13	transition	transition	NOUN
ap-1344	23	14	(	(	PUNCT
ap-1344	23	15	qpt	qpt	NOUN
ap-1344	23	16	)	)	PUNCT
ap-1344	23	17	is	be	AUX
ap-1344	23	18	driven	drive	VERB
ap-1344	23	19	solely	solely	ADV
ap-1344	23	20	by	by	ADV
ap-1344	23	21	(	(	PUNCT
ap-1344	23	22	quantum	quantum	NOUN
ap-1344	23	23	)	)	PUNCT
ap-1344	23	24	interactions	interaction	NOUN
ap-1344	23	25	.	.	PUNCT
ap-1344	24	1	in	in	ADP
ap-1344	24	2	the	the	DET
ap-1344	24	3	case	case	NOUN
ap-1344	24	4	of	of	ADP
ap-1344	24	5	the	the	DET
ap-1344	24	6	triangulated	triangulate	VERB
ap-1344	24	7	kagomé	kagomé	NOUN
ap-1344	24	8	lattice	lattice	NOUN
ap-1344	24	9	,	,	PUNCT
ap-1344	24	10	each	each	DET
ap-1344	24	11	atype	atype	NOUN
ap-1344	24	12	trimer	trimer	NOUN
ap-1344	24	13	interacts	interact	VERB
ap-1344	24	14	with	with	ADP
ap-1344	24	15	its	its	PRON
ap-1344	24	16	neighboring	neighboring	NOUN
ap-1344	24	17	trimer	trimer	NOUN
ap-1344	24	18	through	through	ADP
ap-1344	24	19	the	the	DET
ap-1344	24	20	(	(	PUNCT
ap-1344	24	21	ferromagnetic	ferromagnetic	ADJ
ap-1344	24	22	)	)	PUNCT
ap-1344	24	23	ising	ise	VERB
ap-1344	24	24	-	-	PUNCT
ap-1344	24	25	type	type	NOUN
ap-1344	24	26	exchange	exchange	NOUN
ap-1344	24	27	,	,	PUNCT
ap-1344	24	28	i.e.	i.e.	X
ap-1344	24	29	a	a	DET
ap-1344	24	30	classical	classical	ADJ
ap-1344	24	31	interaction	interaction	NOUN
ap-1344	24	32	.	.	PUNCT
ap-1344	25	1	therefore	therefore	ADV
ap-1344	25	2	,	,	PUNCT
ap-1344	25	3	the	the	DET
ap-1344	25	4	states	state	NOUN
ap-1344	25	5	of	of	ADP
ap-1344	25	6	two	two	NUM
ap-1344	25	7	neighboring	neighbor	VERB
ap-1344	25	8	a	a	DET
ap-1344	25	9	-	-	PUNCT
ap-1344	25	10	clusters	cluster	NOUN
ap-1344	25	11	become	become	VERB
ap-1344	25	12	separable	separable	ADJ
ap-1344	25	13	(	(	PUNCT
ap-1344	25	14	unentangled	unentangled	ADJ
ap-1344	25	15	)	)	PUNCT
ap-1344	26	1	[	[	X
ap-1344	26	2	6	6	NUM
ap-1344	26	3	]	]	PUNCT
ap-1344	26	4	.	.	PUNCT
ap-1344	27	1	thus	thus	ADV
ap-1344	27	2	,	,	PUNCT
ap-1344	27	3	the	the	DET
ap-1344	27	4	concurrence	concurrence	NOUN
ap-1344	27	5	(	(	PUNCT
ap-1344	27	6	a	a	DET
ap-1344	27	7	measure	measure	NOUN
ap-1344	27	8	of	of	ADP
ap-1344	27	9	entanglement	entanglement	NOUN
ap-1344	27	10	[	[	X
ap-1344	27	11	10	10	NUM
ap-1344	27	12	]	]	NUM
ap-1344	27	13	)	)	PUNCT
ap-1344	27	14	,	,	PUNCT
ap-1344	27	15	which	which	PRON
ap-1344	27	16	characterizes	characterize	VERB
ap-1344	27	17	quantum	quantum	NOUN
ap-1344	27	18	(	(	PUNCT
ap-1344	27	19	non	non	X
ap-1344	27	20	classical	classical	ADJ
ap-1344	27	21	)	)	PUNCT
ap-1344	27	22	features	feature	NOUN
ap-1344	27	23	for	for	ADP
ap-1344	27	24	each	each	DET
ap-1344	27	25	trimer	trimer	NOUN
ap-1344	27	26	,	,	PUNCT
ap-1344	27	27	in	in	ADP
ap-1344	27	28	the	the	DET
ap-1344	27	29	effective	effective	ADJ
ap-1344	27	30	field	field	NOUN
ap-1344	27	31	,	,	PUNCT
ap-1344	27	32	can	can	AUX
ap-1344	27	33	be	be	AUX
ap-1344	27	34	calculated	calculate	VERB
ap-1344	27	35	separately	separately	ADV
ap-1344	27	36	.	.	PUNCT
ap-1344	28	1	the	the	DET
ap-1344	28	2	key	key	ADJ
ap-1344	28	3	result	result	NOUN
ap-1344	28	4	of	of	ADP
ap-1344	28	5	the	the	DET
ap-1344	28	6	current	current	ADJ
ap-1344	28	7	work	work	NOUN
ap-1344	28	8	is	be	AUX
ap-1344	28	9	a	a	DET
ap-1344	28	10	comparative	comparative	ADJ
ap-1344	28	11	analysis	analysis	NOUN
ap-1344	28	12	of	of	ADP
ap-1344	28	13	specific	specific	ADJ
ap-1344	28	14	(	(	PUNCT
ap-1344	28	15	peak	peak	NOUN
ap-1344	28	16	and	and	CCONJ
ap-1344	28	17	plateau	plateau	NOUN
ap-1344	28	18	)	)	PUNCT
ap-1344	28	19	features	feature	VERB
ap-1344	28	20	in	in	ADP
ap-1344	28	21	the	the	DET
ap-1344	28	22	magnetic	magnetic	ADJ
ap-1344	28	23	and	and	CCONJ
ap-1344	28	24	thermal	thermal	ADJ
ap-1344	28	25	entanglement	entanglement	NOUN
ap-1344	28	26	properties	property	NOUN
ap-1344	28	27	of	of	ADP
ap-1344	28	28	the	the	DET
ap-1344	28	29	spin-1/2	spin-1/2	PROPN
ap-1344	28	30	isingheisenberg	isingheisenberg	PROPN
ap-1344	28	31	model	model	PROPN
ap-1344	28	32	on	on	ADP
ap-1344	28	33	a	a	DET
ap-1344	28	34	triangulated	triangulate	VERB
ap-1344	28	35	kagomé	kagomé	NOUN
ap-1344	28	36	lattice	lattice	NOUN
ap-1344	28	37	.	.	PUNCT
ap-1344	29	1	7	7	NUM
ap-1344	29	2	acta	acta	PROPN
ap-1344	29	3	polytechnica	polytechnica	PROPN
ap-1344	29	4	vol	vol	NOUN
ap-1344	29	5	.	.	PUNCT
ap-1344	30	1	51	51	NUM
ap-1344	30	2	no	no	INTJ
ap-1344	30	3	.	.	PUNCT
ap-1344	31	1	1/2011	1/2011	NUM
ap-1344	31	2	the	the	DET
ap-1344	31	3	rest	rest	NOUN
ap-1344	31	4	of	of	ADP
ap-1344	31	5	the	the	DET
ap-1344	31	6	paper	paper	NOUN
ap-1344	31	7	is	be	AUX
ap-1344	31	8	organized	organize	VERB
ap-1344	31	9	as	as	SCONJ
ap-1344	31	10	follows	follow	VERB
ap-1344	31	11	:	:	PUNCT
ap-1344	31	12	in	in	ADP
ap-1344	31	13	sec	sec	PROPN
ap-1344	31	14	.	.	PROPN
ap-1344	31	15	2	2	NUM
ap-1344	31	16	we	we	PRON
ap-1344	31	17	introduce	introduce	VERB
ap-1344	31	18	the	the	DET
ap-1344	31	19	ising	ise	VERB
ap-1344	31	20	-	-	PUNCT
ap-1344	31	21	heisenberg	heisenberg	PROPN
ap-1344	31	22	model	model	NOUN
ap-1344	31	23	on	on	ADP
ap-1344	31	24	the	the	DET
ap-1344	31	25	triangulated	triangulate	VERB
ap-1344	31	26	kagomé	kagomé	NOUN
ap-1344	31	27	lattice	lattice	NOUN
ap-1344	31	28	and	and	CCONJ
ap-1344	31	29	provide	provide	VERB
ap-1344	31	30	a	a	DET
ap-1344	31	31	variational	variational	ADJ
ap-1344	31	32	solution	solution	NOUN
ap-1344	31	33	based	base	VERB
ap-1344	31	34	on	on	ADP
ap-1344	31	35	the	the	DET
ap-1344	31	36	gibbs	gibbs	PROPN
ap-1344	31	37	-	-	PUNCT
ap-1344	31	38	bogoliubov	bogoliubov	PROPN
ap-1344	31	39	inequality	inequality	NOUN
ap-1344	31	40	.	.	PUNCT
ap-1344	32	1	the	the	DET
ap-1344	32	2	basic	basic	ADJ
ap-1344	32	3	principles	principle	NOUN
ap-1344	32	4	for	for	ADP
ap-1344	32	5	calculating	calculate	VERB
ap-1344	32	6	entanglement	entanglement	NOUN
ap-1344	32	7	measure	measure	NOUN
ap-1344	32	8	and	and	CCONJ
ap-1344	32	9	some	some	PRON
ap-1344	32	10	of	of	ADP
ap-1344	32	11	the	the	DET
ap-1344	32	12	results	result	NOUN
ap-1344	32	13	on	on	ADP
ap-1344	32	14	intrinsic	intrinsic	ADJ
ap-1344	32	15	properties	property	NOUN
ap-1344	32	16	are	be	AUX
ap-1344	32	17	introduced	introduce	VERB
ap-1344	32	18	in	in	ADP
ap-1344	32	19	sec	sec	PROPN
ap-1344	32	20	.	.	PROPN
ap-1344	33	1	3	3	X
ap-1344	33	2	.	.	X
ap-1344	33	3	in	in	ADP
ap-1344	33	4	sec	sec	PROPN
ap-1344	33	5	.	.	PROPN
ap-1344	33	6	4	4	NUM
ap-1344	33	7	we	we	PRON
ap-1344	33	8	present	present	VERB
ap-1344	33	9	a	a	DET
ap-1344	33	10	comparison	comparison	NOUN
ap-1344	33	11	of	of	ADP
ap-1344	33	12	magnetic	magnetic	ADJ
ap-1344	33	13	properties	property	NOUN
ap-1344	33	14	and	and	CCONJ
ap-1344	33	15	thermal	thermal	ADJ
ap-1344	33	16	entanglement	entanglement	NOUN
ap-1344	33	17	.	.	PUNCT
ap-1344	34	1	concluding	conclude	VERB
ap-1344	34	2	remarks	remark	NOUN
ap-1344	34	3	are	be	AUX
ap-1344	34	4	given	give	VERB
ap-1344	34	5	in	in	ADP
ap-1344	34	6	sec	sec	PROPN
ap-1344	34	7	.	.	PROPN
ap-1344	35	1	5	5	NUM
ap-1344	35	2	.	.	SYM
ap-1344	35	3	2	2	NUM
ap-1344	35	4	basic	basic	ADJ
ap-1344	35	5	formalism	formalism	NOUN
ap-1344	35	6	we	we	PRON
ap-1344	35	7	consider	consider	VERB
ap-1344	35	8	the	the	DET
ap-1344	35	9	spin1	spin1	NOUN
ap-1344	35	10	2	2	NUM
ap-1344	35	11	ising	ise	VERB
ap-1344	35	12	-	-	PUNCT
ap-1344	35	13	heisenberg	heisenberg	PROPN
ap-1344	35	14	model	model	NOUN
ap-1344	35	15	on	on	ADP
ap-1344	35	16	a	a	DET
ap-1344	35	17	triangulated	triangulate	VERB
ap-1344	35	18	kagomé	kagomé	NOUN
ap-1344	35	19	lattice	lattice	PROPN
ap-1344	35	20	(	(	PUNCT
ap-1344	35	21	tkl	tkl	PROPN
ap-1344	35	22	)	)	PUNCT
ap-1344	35	23	(	(	PUNCT
ap-1344	35	24	fig	fig	NOUN
ap-1344	35	25	.	.	NOUN
ap-1344	35	26	1	1	X
ap-1344	35	27	)	)	PUNCT
ap-1344	35	28	consisting	consist	VERB
ap-1344	35	29	of	of	ADP
ap-1344	35	30	two	two	NUM
ap-1344	35	31	types	type	NOUN
ap-1344	35	32	of	of	ADP
ap-1344	35	33	sites	site	NOUN
ap-1344	35	34	(	(	PUNCT
ap-1344	35	35	a	a	PRON
ap-1344	35	36	and	and	CCONJ
ap-1344	35	37	b	b	NOUN
ap-1344	35	38	)	)	PUNCT
ap-1344	35	39	.	.	PUNCT
ap-1344	36	1	since	since	SCONJ
ap-1344	36	2	the	the	DET
ap-1344	36	3	exchange	exchange	NOUN
ap-1344	36	4	coupling	coupling	NOUN
ap-1344	36	5	between	between	ADP
ap-1344	36	6	cu2	cu2	NOUN
ap-1344	36	7	+	+	NOUN
ap-1344	36	8	ions	ion	NOUN
ap-1344	36	9	is	be	AUX
ap-1344	36	10	almost	almost	ADV
ap-1344	36	11	isotropic	isotropic	ADJ
ap-1344	36	12	,	,	PUNCT
ap-1344	36	13	it	it	PRON
ap-1344	36	14	is	be	AUX
ap-1344	36	15	more	more	ADV
ap-1344	36	16	appropriate	appropriate	ADJ
ap-1344	36	17	to	to	PART
ap-1344	36	18	apply	apply	VERB
ap-1344	36	19	isotropic	isotropic	ADJ
ap-1344	36	20	heisenberg	heisenberg	PROPN
ap-1344	36	21	model	model	NOUN
ap-1344	36	22	.	.	PUNCT
ap-1344	37	1	there	there	PRON
ap-1344	37	2	is	be	VERB
ap-1344	37	3	a	a	DET
ap-1344	37	4	strong	strong	ADJ
ap-1344	37	5	heisenberg	heisenberg	PROPN
ap-1344	37	6	jaa	jaa	PROPN
ap-1344	37	7	(	(	PUNCT
ap-1344	37	8	antiferro	antiferro	NOUN
ap-1344	37	9	)	)	PUNCT
ap-1344	37	10	exchange	exchange	NOUN
ap-1344	37	11	coupling	coupling	NOUN
ap-1344	37	12	between	between	ADP
ap-1344	37	13	trimeric	trimeric	ADJ
ap-1344	37	14	sites	site	NOUN
ap-1344	37	15	of	of	ADP
ap-1344	37	16	type	type	NOUN
ap-1344	37	17	a	a	PRON
ap-1344	37	18	and	and	CCONJ
ap-1344	37	19	a	a	DET
ap-1344	37	20	weaker	weak	ADJ
ap-1344	37	21	ising	ise	VERB
ap-1344	37	22	-	-	PUNCT
ap-1344	37	23	type	type	NOUN
ap-1344	37	24	(	(	PUNCT
ap-1344	37	25	ferro	ferro	ADJ
ap-1344	37	26	)	)	PUNCT
ap-1344	37	27	exchange	exchange	NOUN
ap-1344	37	28	(	(	PUNCT
ap-1344	37	29	jab	jab	PROPN
ap-1344	37	30	)	)	PUNCT
ap-1344	37	31	between	between	ADP
ap-1344	37	32	trimeric	trimeric	ADJ
ap-1344	37	33	types	type	NOUN
ap-1344	37	34	a	a	DET
ap-1344	37	35	and	and	CCONJ
ap-1344	37	36	monomeric	monomeric	ADJ
ap-1344	37	37	b.	b.	PROPN
ap-1344	37	38	thus	thus	ADV
ap-1344	37	39	,	,	PUNCT
ap-1344	37	40	the	the	DET
ap-1344	37	41	kagomé	kagomé	NOUN
ap-1344	37	42	lattice	lattice	NOUN
ap-1344	37	43	of	of	ADP
ap-1344	37	44	the	the	DET
ap-1344	37	45	ising	ise	VERB
ap-1344	37	46	spins	spin	NOUN
ap-1344	37	47	(	(	PUNCT
ap-1344	37	48	monomers	monomer	NOUN
ap-1344	37	49	)	)	PUNCT
ap-1344	37	50	contains	contain	VERB
ap-1344	37	51	inside	inside	ADP
ap-1344	37	52	each	each	DET
ap-1344	37	53	triangle	triangle	NOUN
ap-1344	37	54	unit	unit	NOUN
ap-1344	37	55	a	a	DET
ap-1344	37	56	smaller	small	ADJ
ap-1344	37	57	triangle	triangle	NOUN
ap-1344	37	58	of	of	ADP
ap-1344	37	59	heisenberg	heisenberg	PROPN
ap-1344	37	60	spins	spin	NOUN
ap-1344	37	61	(	(	PUNCT
ap-1344	37	62	trimer	trimer	NOUN
ap-1344	37	63	)	)	PUNCT
ap-1344	37	64	.	.	PUNCT
ap-1344	38	1	fig	fig	NOUN
ap-1344	38	2	.	.	PUNCT
ap-1344	39	1	1	1	NUM
ap-1344	39	2	:	:	PUNCT
ap-1344	39	3	a	a	DET
ap-1344	39	4	cross	cross	NOUN
ap-1344	39	5	-	-	NOUN
ap-1344	39	6	section	section	NOUN
ap-1344	39	7	of	of	ADP
ap-1344	39	8	tkl	tkl	PROPN
ap-1344	39	9	.	.	PUNCT
ap-1344	40	1	the	the	DET
ap-1344	40	2	solid	solid	ADJ
ap-1344	40	3	lines	line	NOUN
ap-1344	40	4	represent	represent	VERB
ap-1344	40	5	intra	intra	ADJ
ap-1344	40	6	-	-	ADJ
ap-1344	40	7	trimer	trimer	ADJ
ap-1344	40	8	heisenberg	heisenberg	PROPN
ap-1344	40	9	interactions	interaction	NOUN
ap-1344	40	10	jaa	jaa	PROPN
ap-1344	40	11	,	,	PUNCT
ap-1344	40	12	while	while	SCONJ
ap-1344	40	13	the	the	DET
ap-1344	40	14	broken	break	VERB
ap-1344	40	15	lines	line	NOUN
ap-1344	40	16	label	label	VERB
ap-1344	40	17	monomer	monomer	NOUN
ap-1344	40	18	-	-	PUNCT
ap-1344	40	19	trimer	trimer	NOUN
ap-1344	40	20	ising	ise	VERB
ap-1344	40	21	interations	interation	NOUN
ap-1344	40	22	jab	jab	VERB
ap-1344	40	23	.	.	PUNCT
ap-1344	41	1	the	the	DET
ap-1344	41	2	circle	circle	NOUN
ap-1344	41	3	marks	mark	VERB
ap-1344	41	4	the	the	DET
ap-1344	41	5	k	k	NOUN
ap-1344	41	6	-	-	PUNCT
ap-1344	41	7	th	th	VERB
ap-1344	41	8	cluster	cluster	NOUN
ap-1344	41	9	.	.	PUNCT
ap-1344	42	1	sa	sa	PROPN
ap-1344	42	2	ki	ki	PROPN
ap-1344	42	3	presents	present	VERB
ap-1344	42	4	the	the	DET
ap-1344	42	5	heisenberg	heisenberg	PROPN
ap-1344	42	6	spins	spin	NOUN
ap-1344	42	7	and	and	CCONJ
ap-1344	42	8	sb	sb	PROPN
ap-1344	42	9	ki	ki	PROPN
ap-1344	43	1	the	the	DET
ap-1344	43	2	ising	ising	PROPN
ap-1344	43	3	spins	spin	VERB
ap-1344	43	4	the	the	DET
ap-1344	43	5	hamiltonian	hamiltonian	NOUN
ap-1344	43	6	can	can	AUX
ap-1344	43	7	be	be	AUX
ap-1344	43	8	written	write	VERB
ap-1344	43	9	as	as	SCONJ
ap-1344	43	10	follows	follow	VERB
ap-1344	43	11	:	:	PUNCT
ap-1344	43	12	h	h	NOUN
ap-1344	43	13	=	=	SYM
ap-1344	43	14	jaa	jaa	PROPN
ap-1344	43	15	∑	∑	PUNCT
ap-1344	43	16	(	(	PUNCT
ap-1344	43	17	i	i	PROPN
ap-1344	43	18	,	,	PUNCT
ap-1344	43	19	j	j	PROPN
ap-1344	43	20	)	)	PUNCT
ap-1344	43	21	sa	sa	PROPN
ap-1344	44	1	i	i	PRON
ap-1344	44	2	s	s	VERB
ap-1344	44	3	a	a	DET
ap-1344	44	4	j	j	NOUN
ap-1344	44	5	−	−	PROPN
ap-1344	44	6	jab	jab	NOUN
ap-1344	44	7	∑	∑	PROPN
ap-1344	44	8	(	(	PUNCT
ap-1344	44	9	k	k	X
ap-1344	44	10	,	,	PUNCT
ap-1344	44	11	l	l	NOUN
ap-1344	44	12	)	)	PUNCT
ap-1344	44	13	(	(	PUNCT
ap-1344	44	14	sz)ak	sz)ak	X
ap-1344	44	15	·	·	PUNCT
ap-1344	44	16	(	(	PUNCT
ap-1344	44	17	sz)bl	sz)bl	ADP
ap-1344	44	18	−	−	NUM
ap-1344	44	19	h	h	NOUN
ap-1344	44	20	2n	2n	NUM
ap-1344	45	1	3∑	3∑	NUM
ap-1344	45	2	i=1	i=1	PROPN
ap-1344	45	3	3[(sz)aj	3[(sz)aj	NUM
ap-1344	46	1	+	+	CCONJ
ap-1344	46	2	1	1	NUM
ap-1344	46	3	2	2	NUM
ap-1344	46	4	(	(	PUNCT
ap-1344	46	5	sz)bj	sz)bj	X
ap-1344	46	6	]	]	X
ap-1344	46	7	,	,	PUNCT
ap-1344	46	8	(	(	PUNCT
ap-1344	46	9	1	1	X
ap-1344	46	10	)	)	PUNCT
ap-1344	46	11	where	where	SCONJ
ap-1344	46	12	sa	sa	NOUN
ap-1344	46	13	=	=	PRON
ap-1344	46	14	{	{	PUNCT
ap-1344	46	15	sa	sa	NOUN
ap-1344	46	16	x	x	PROPN
ap-1344	46	17	,	,	PUNCT
ap-1344	46	18	sa	sa	PROPN
ap-1344	46	19	y	y	PROPN
ap-1344	46	20	,	,	PUNCT
ap-1344	46	21	sa	sa	PROPN
ap-1344	46	22	z	z	PROPN
ap-1344	46	23	}	}	PUNCT
ap-1344	46	24	is	be	AUX
ap-1344	46	25	the	the	DET
ap-1344	46	26	heisenberg	heisenberg	PROPN
ap-1344	46	27	spin1	spin1	PROPN
ap-1344	46	28	2	2	NUM
ap-1344	46	29	operator	operator	NOUN
ap-1344	46	30	,	,	PUNCT
ap-1344	46	31	and	and	CCONJ
ap-1344	46	32	sb	sb	PROPN
ap-1344	46	33	is	be	AUX
ap-1344	46	34	the	the	DET
ap-1344	46	35	ising	ise	VERB
ap-1344	46	36	spin	spin	NOUN
ap-1344	46	37	.	.	PUNCT
ap-1344	47	1	jaa	jaa	VERB
ap-1344	47	2	>	>	X
ap-1344	47	3	0	0	NUM
ap-1344	47	4	corresponds	correspond	NOUN
ap-1344	47	5	to	to	ADP
ap-1344	47	6	antiferro	antiferro	NOUN
ap-1344	47	7	-	-	PUNCT
ap-1344	47	8	coupling	coupling	NOUN
ap-1344	47	9	and	and	CCONJ
ap-1344	47	10	jab	jab	VERB
ap-1344	47	11	>	>	X
ap-1344	47	12	0	0	NUM
ap-1344	48	1	ferro	ferro	NOUN
ap-1344	48	2	-	-	PUNCT
ap-1344	48	3	couplings	coupling	NOUN
ap-1344	48	4	.	.	PUNCT
ap-1344	49	1	here	here	ADV
ap-1344	49	2	,	,	PUNCT
ap-1344	49	3	the	the	DET
ap-1344	49	4	total	total	ADJ
ap-1344	49	5	number	number	NOUN
ap-1344	49	6	of	of	ADP
ap-1344	49	7	sites	site	NOUN
ap-1344	49	8	is	be	AUX
ap-1344	49	9	3n	3n	NUM
ap-1344	49	10	,	,	PUNCT
ap-1344	49	11	where	where	SCONJ
ap-1344	49	12	the	the	DET
ap-1344	49	13	first	first	ADJ
ap-1344	49	14	two	two	NUM
ap-1344	49	15	summations	summation	NOUN
ap-1344	49	16	run	run	VERB
ap-1344	49	17	over	over	ADP
ap-1344	49	18	a−a	a−a	NOUN
ap-1344	49	19	and	and	CCONJ
ap-1344	49	20	a−b	a−b	NOUN
ap-1344	49	21	nearest	near	ADJ
ap-1344	49	22	neighbors	neighbor	NOUN
ap-1344	49	23	,	,	PUNCT
ap-1344	49	24	respectively	respectively	ADV
ap-1344	49	25	,	,	PUNCT
ap-1344	49	26	and	and	CCONJ
ap-1344	49	27	the	the	DET
ap-1344	49	28	last	last	ADJ
ap-1344	49	29	sum	sum	NOUN
ap-1344	49	30	incorporates	incorporate	VERB
ap-1344	49	31	the	the	DET
ap-1344	49	32	effect	effect	NOUN
ap-1344	49	33	of	of	ADP
ap-1344	49	34	a	a	DET
ap-1344	49	35	uniform	uniform	ADJ
ap-1344	49	36	magnetic	magnetic	ADJ
ap-1344	49	37	field	field	NOUN
ap-1344	49	38	.	.	PUNCT
ap-1344	50	1	the	the	DET
ap-1344	50	2	variational	variational	ADJ
ap-1344	50	3	gibbs	gibbs	PROPN
ap-1344	50	4	-	-	PUNCT
ap-1344	50	5	bogoliubov	bogoliubov	PROPN
ap-1344	50	6	inequality	inequality	NOUN
ap-1344	50	7	is	be	AUX
ap-1344	50	8	adopted	adopt	VERB
ap-1344	50	9	to	to	PART
ap-1344	50	10	solve	solve	VERB
ap-1344	50	11	the	the	DET
ap-1344	50	12	hamiltonian	hamiltonian	NOUN
ap-1344	50	13	(	(	PUNCT
ap-1344	51	1	1	1	NUM
ap-1344	51	2	)	)	PUNCT
ap-1344	51	3	f	f	PROPN
ap-1344	51	4	≤	≤	NUM
ap-1344	51	5	f0	f0	PROPN
ap-1344	51	6	+	+	CCONJ
ap-1344	51	7	〈	〈	PROPN
ap-1344	51	8	h	h	PROPN
ap-1344	51	9	−h0〉0	−h0〉0	PROPN
ap-1344	51	10	,	,	PUNCT
ap-1344	51	11	(	(	PUNCT
ap-1344	51	12	2	2	X
ap-1344	51	13	)	)	PUNCT
ap-1344	51	14	where	where	SCONJ
ap-1344	51	15	h	h	NOUN
ap-1344	51	16	is	be	AUX
ap-1344	51	17	the	the	DET
ap-1344	51	18	real	real	ADJ
ap-1344	51	19	hamiltonian	hamiltonian	NOUN
ap-1344	51	20	which	which	PRON
ap-1344	51	21	describes	describe	VERB
ap-1344	51	22	the	the	DET
ap-1344	51	23	system	system	NOUN
ap-1344	51	24	,	,	PUNCT
ap-1344	51	25	and	and	CCONJ
ap-1344	51	26	h0	h0	NOUN
ap-1344	51	27	is	be	AUX
ap-1344	51	28	the	the	DET
ap-1344	51	29	trial	trial	NOUN
ap-1344	51	30	one	one	NUM
ap-1344	51	31	.	.	PUNCT
ap-1344	52	1	f	f	PROPN
ap-1344	52	2	and	and	CCONJ
ap-1344	52	3	f0	f0	PROPN
ap-1344	52	4	are	be	AUX
ap-1344	52	5	free	free	ADJ
ap-1344	52	6	energies	energy	NOUN
ap-1344	52	7	corresponding	correspond	VERB
ap-1344	52	8	to	to	ADP
ap-1344	52	9	h	h	NOUN
ap-1344	52	10	and	and	CCONJ
ap-1344	52	11	h0	h0	PROPN
ap-1344	52	12	,	,	PUNCT
ap-1344	52	13	respectively	respectively	ADV
ap-1344	52	14	,	,	PUNCT
ap-1344	52	15	and	and	CCONJ
ap-1344	52	16	〈	〈	PROPN
ap-1344	52	17	.	.	PUNCT
ap-1344	52	18	.	.	PUNCT
ap-1344	53	1	.〉0	.〉0	PROPN
ap-1344	53	2	denotes	denote	VERB
ap-1344	53	3	the	the	DET
ap-1344	53	4	thermal	thermal	ADJ
ap-1344	53	5	average	average	NOUN
ap-1344	53	6	over	over	ADP
ap-1344	53	7	the	the	DET
ap-1344	53	8	ensemble	ensemble	ADJ
ap-1344	53	9	defined	define	VERB
ap-1344	53	10	by	by	ADP
ap-1344	53	11	h0	h0	PROPN
ap-1344	53	12	.	.	PUNCT
ap-1344	54	1	following	follow	VERB
ap-1344	54	2	[	[	X
ap-1344	54	3	4	4	NUM
ap-1344	54	4	]	]	PUNCT
ap-1344	54	5	,	,	PUNCT
ap-1344	54	6	the	the	DET
ap-1344	54	7	trial	trial	NOUN
ap-1344	54	8	hamiltonian	hamiltonian	NOUN
ap-1344	54	9	is	be	AUX
ap-1344	54	10	reduced	reduce	VERB
ap-1344	54	11	to	to	PART
ap-1344	54	12	h0	h0	VERB
ap-1344	54	13	=	=	PROPN
ap-1344	54	14	∑	∑	PUNCT
ap-1344	54	15	k∈trimers	k∈trimers	PROPN
ap-1344	54	16	hc0	hc0	NOUN
ap-1344	54	17	,	,	PUNCT
ap-1344	54	18	(	(	PUNCT
ap-1344	54	19	3a	3a	NUM
ap-1344	54	20	)	)	PUNCT
ap-1344	54	21	hc0	hc0	NOUN
ap-1344	54	22	=	=	SYM
ap-1344	54	23	λaa	λaa	NOUN
ap-1344	54	24	(	(	PUNCT
ap-1344	54	25	sa	sa	PROPN
ap-1344	54	26	k1s	k1s	PROPN
ap-1344	54	27	a	a	DET
ap-1344	54	28	k2	k2	PROPN
ap-1344	54	29	+	+	PROPN
ap-1344	54	30	s	s	PROPN
ap-1344	54	31	a	a	DET
ap-1344	54	32	k2s	k2s	NOUN
ap-1344	54	33	a	a	DET
ap-1344	54	34	k3	k3	NOUN
ap-1344	54	35	+	+	X
ap-1344	54	36	s	s	VERB
ap-1344	54	37	a	a	DET
ap-1344	54	38	k1s	k1s	NOUN
ap-1344	54	39	a	a	DET
ap-1344	54	40	k3	k3	NOUN
ap-1344	54	41	)	)	PUNCT
ap-1344	54	42	−	−	PROPN
ap-1344	55	1	3∑	3∑	NUM
ap-1344	55	2	i=1	i=1	X
ap-1344	56	1	[	[	PUNCT
ap-1344	56	2	γa(s	γa(s	X
ap-1344	56	3	z)aki	z)aki	PROPN
ap-1344	56	4	+	+	CCONJ
ap-1344	56	5	γb	γb	X
ap-1344	56	6	2	2	NUM
ap-1344	56	7	(	(	PUNCT
ap-1344	56	8	sz)bki	sz)bki	X
ap-1344	56	9	]	]	PUNCT
ap-1344	56	10	.	.	PUNCT
ap-1344	57	1	(	(	PUNCT
ap-1344	57	2	3b	3b	NUM
ap-1344	57	3	)	)	PUNCT
ap-1344	57	4	in	in	ADP
ap-1344	57	5	this	this	DET
ap-1344	57	6	hamiltonian	hamiltonian	NOUN
ap-1344	57	7	,	,	PUNCT
ap-1344	57	8	the	the	DET
ap-1344	57	9	stronger	strong	ADJ
ap-1344	57	10	quantum	quantum	PROPN
ap-1344	57	11	heisenberg	heisenberg	PROPN
ap-1344	57	12	antiferromagnetic	antiferromagnetic	ADJ
ap-1344	57	13	interactions	interaction	NOUN
ap-1344	57	14	between	between	ADP
ap-1344	57	15	a	a	PRON
ap-1344	57	16	-	-	PUNCT
ap-1344	57	17	sites	site	NOUN
ap-1344	57	18	are	be	AUX
ap-1344	57	19	treated	treat	VERB
ap-1344	57	20	exactly	exactly	ADV
ap-1344	57	21	,	,	PUNCT
ap-1344	57	22	while	while	SCONJ
ap-1344	57	23	the	the	DET
ap-1344	57	24	weaker	weak	ADJ
ap-1344	57	25	ising	ise	VERB
ap-1344	57	26	-	-	PUNCT
ap-1344	57	27	type	type	NOUN
ap-1344	57	28	ones	one	NOUN
ap-1344	57	29	between	between	ADP
ap-1344	57	30	the	the	DET
ap-1344	57	31	aand	aand	ADJ
ap-1344	57	32	b	b	NOUN
ap-1344	57	33	-	-	PUNCT
ap-1344	57	34	sites	site	NOUN
ap-1344	57	35	(	(	PUNCT
ap-1344	57	36	|jab	|jab	ADV
ap-1344	57	37	/	/	SYM
ap-1344	57	38	jaa|	jaa|	NOUN
ap-1344	57	39	≈	≈	NOUN
ap-1344	57	40	0.025	0.025	NUM
ap-1344	58	1	[	[	PUNCT
ap-1344	58	2	11	11	NUM
ap-1344	58	3	]	]	PUNCT
ap-1344	58	4	)	)	PUNCT
ap-1344	58	5	are	be	AUX
ap-1344	58	6	replaced	replace	VERB
ap-1344	58	7	by	by	ADP
ap-1344	58	8	self	self	NOUN
ap-1344	58	9	-	-	PUNCT
ap-1344	58	10	consistent	consistent	ADJ
ap-1344	58	11	(	(	PUNCT
ap-1344	58	12	effective	effective	ADJ
ap-1344	58	13	)	)	PUNCT
ap-1344	58	14	fields	field	NOUN
ap-1344	58	15	of	of	ADP
ap-1344	58	16	two	two	NUM
ap-1344	58	17	types	type	NOUN
ap-1344	58	18	:	:	PUNCT
ap-1344	58	19	γa	γa	PROPN
ap-1344	58	20	and	and	CCONJ
ap-1344	58	21	γb	γb	VERB
ap-1344	58	22	.	.	PUNCT
ap-1344	59	1	the	the	DET
ap-1344	59	2	variational	variational	ADJ
ap-1344	59	3	parameters	parameter	NOUN
ap-1344	59	4	γa	γa	PROPN
ap-1344	59	5	,	,	PUNCT
ap-1344	59	6	γb	γb	NOUN
ap-1344	59	7	and	and	CCONJ
ap-1344	59	8	λaa	λaa	NOUN
ap-1344	59	9	can	can	AUX
ap-1344	59	10	be	be	AUX
ap-1344	59	11	found	find	VERB
ap-1344	59	12	by	by	ADP
ap-1344	59	13	minimizing	minimize	VERB
ap-1344	59	14	the	the	DET
ap-1344	59	15	rhs	rhs	PROPN
ap-1344	59	16	of	of	ADP
ap-1344	59	17	(	(	PUNCT
ap-1344	59	18	2	2	NUM
ap-1344	59	19	)	)	PUNCT
ap-1344	59	20	.	.	PUNCT
ap-1344	60	1	using	use	VERB
ap-1344	60	2	the	the	DET
ap-1344	60	3	fact	fact	NOUN
ap-1344	60	4	that	that	SCONJ
ap-1344	60	5	in	in	ADP
ap-1344	60	6	terms	term	NOUN
ap-1344	60	7	of	of	ADP
ap-1344	60	8	(	(	PUNCT
ap-1344	60	9	3b	3b	NUM
ap-1344	60	10	)	)	PUNCT
ap-1344	60	11	sa	sa	PROPN
ap-1344	60	12	and	and	CCONJ
ap-1344	60	13	sb	sb	PROPN
ap-1344	60	14	are	be	AUX
ap-1344	60	15	statistically	statistically	ADV
ap-1344	60	16	independent	independent	ADJ
ap-1344	60	17	,	,	PUNCT
ap-1344	60	18	and	and	CCONJ
ap-1344	60	19	taking	take	VERB
ap-1344	60	20	into	into	ADP
ap-1344	60	21	account	account	NOUN
ap-1344	60	22	〈	〈	PROPN
ap-1344	60	23	sx〉0	sx〉0	PROPN
ap-1344	60	24	=	=	SYM
ap-1344	60	25	〈	〈	PROPN
ap-1344	60	26	sy〉0	sy〉0	NOUN
ap-1344	60	27	=	=	NOUN
ap-1344	60	28	0	0	PUNCT
ap-1344	60	29	a	a	DET
ap-1344	60	30	single	single	ADJ
ap-1344	60	31	site	site	NOUN
ap-1344	60	32	magnetization	magnetization	NOUN
ap-1344	60	33	,	,	PUNCT
ap-1344	60	34	〈	〈	PROPN
ap-1344	60	35	(	(	PUNCT
ap-1344	60	36	sz)a〉0	sz)a〉0	PROPN
ap-1344	60	37	=	=	SYM
ap-1344	60	38	ma	ma	PROPN
ap-1344	60	39	,	,	PUNCT
ap-1344	60	40	〈	〈	PROPN
ap-1344	60	41	(	(	PUNCT
ap-1344	60	42	sz)b〉0	sz)b〉0	NOUN
ap-1344	60	43	=	=	PUNCT
ap-1344	60	44	mb	mb	NOUN
ap-1344	60	45	on	on	ADP
ap-1344	60	46	a	a	DET
ap-1344	60	47	and	and	CCONJ
ap-1344	60	48	b	b	NOUN
ap-1344	60	49	-	-	PUNCT
ap-1344	60	50	sites	site	NOUN
ap-1344	60	51	,	,	PUNCT
ap-1344	60	52	we	we	PRON
ap-1344	60	53	obtain	obtain	VERB
ap-1344	60	54	λaa	λaa	NOUN
ap-1344	60	55	=	=	SYM
ap-1344	60	56	jaa	jaa	PROPN
ap-1344	60	57	,	,	PUNCT
ap-1344	60	58	γa	γa	PROPN
ap-1344	60	59	=	=	SYM
ap-1344	60	60	2jabmb+h	2jabmb+h	PROPN
ap-1344	60	61	,	,	PUNCT
ap-1344	60	62	γb	γb	PROPN
ap-1344	60	63	=	=	SYM
ap-1344	60	64	4jabma+h	4jabma+h	PROPN
ap-1344	60	65	.	.	PUNCT
ap-1344	61	1	the	the	DET
ap-1344	61	2	eigenvalues	eigenvalues	PROPN
ap-1344	61	3	of	of	ADP
ap-1344	61	4	ha	ha	INTJ
ap-1344	61	5	c0	c0	PROPN
ap-1344	61	6	are	be	AUX
ap-1344	61	7	:	:	PUNCT
ap-1344	61	8	e1	e1	NOUN
ap-1344	61	9	=	=	SYM
ap-1344	61	10	3	3	NUM
ap-1344	61	11	4	4	NUM
ap-1344	61	12	(	(	PUNCT
ap-1344	61	13	λaa	λaa	NOUN
ap-1344	61	14	+	+	CCONJ
ap-1344	61	15	2γa	2γa	NUM
ap-1344	61	16	)	)	PUNCT
ap-1344	61	17	;	;	PUNCT
ap-1344	61	18	e2	e2	PROPN
ap-1344	61	19	=	=	PUNCT
ap-1344	61	20	e3	e3	NOUN
ap-1344	61	21	=	=	SYM
ap-1344	61	22	1	1	NUM
ap-1344	61	23	4	4	NUM
ap-1344	61	24	(	(	PUNCT
ap-1344	61	25	−3λaa	−3λaa	PROPN
ap-1344	61	26	+	+	NUM
ap-1344	61	27	2γa	2γa	ADJ
ap-1344	61	28	)	)	PUNCT
ap-1344	61	29	e4	e4	PROPN
ap-1344	61	30	=	=	SYM
ap-1344	61	31	1	1	NUM
ap-1344	61	32	4	4	NUM
ap-1344	61	33	(	(	PUNCT
ap-1344	61	34	3λaa	3λaa	NUM
ap-1344	61	35	+	+	NUM
ap-1344	61	36	2γa	2γa	NUM
ap-1344	61	37	)	)	PUNCT
ap-1344	61	38	;	;	PUNCT
ap-1344	61	39	e5	e5	PROPN
ap-1344	61	40	=	=	PUNCT
ap-1344	61	41	e6	e6	PROPN
ap-1344	61	42	=	=	SYM
ap-1344	61	43	1	1	NUM
ap-1344	61	44	4	4	NUM
ap-1344	61	45	(	(	PUNCT
ap-1344	61	46	−3λaa	−3λaa	NOUN
ap-1344	61	47	−	−	PROPN
ap-1344	61	48	2γa	2γa	ADJ
ap-1344	61	49	)	)	PUNCT
ap-1344	62	1	e7	e7	PROPN
ap-1344	62	2	=	=	SYM
ap-1344	62	3	1	1	NUM
ap-1344	62	4	4	4	NUM
ap-1344	62	5	(	(	PUNCT
ap-1344	62	6	3λaa	3λaa	NUM
ap-1344	62	7	−	−	PROPN
ap-1344	62	8	2γa	2γa	NOUN
ap-1344	62	9	)	)	PUNCT
ap-1344	62	10	;	;	PUNCT
ap-1344	62	11	e8	e8	PROPN
ap-1344	62	12	=	=	PROPN
ap-1344	62	13	3	3	NUM
ap-1344	62	14	4	4	NUM
ap-1344	62	15	(	(	PUNCT
ap-1344	62	16	λaa	λaa	NOUN
ap-1344	62	17	−	−	PROPN
ap-1344	62	18	2γa	2γa	NOUN
ap-1344	62	19	)	)	PUNCT
ap-1344	62	20	(	(	PUNCT
ap-1344	62	21	4	4	NUM
ap-1344	62	22	)	)	PUNCT
ap-1344	62	23	and	and	CCONJ
ap-1344	62	24	the	the	DET
ap-1344	62	25	corresponding	corresponding	ADJ
ap-1344	62	26	eigenvectors	eigenvector	NOUN
ap-1344	62	27	given	give	VERB
ap-1344	62	28	by	by	ADP
ap-1344	62	29	|ψ1	|ψ1	VERB
ap-1344	62	30	〉	〉	NOUN
ap-1344	62	31	=	=	SYM
ap-1344	62	32	|000	|000	PROPN
ap-1344	62	33	〉	〉	PROPN
ap-1344	62	34	|ψ2	|ψ2	NOUN
ap-1344	62	35	〉	〉	NOUN
ap-1344	62	36	=	=	SYM
ap-1344	62	37	1√	1√	PROPN
ap-1344	62	38	3	3	NUM
ap-1344	62	39	(	(	PUNCT
ap-1344	62	40	q|001〉+	q|001〉+	PROPN
ap-1344	62	41	q2|010〉+	q2|010〉+	PROPN
ap-1344	62	42	|100	|100	PROPN
ap-1344	62	43	〉	〉	NUM
ap-1344	62	44	)	)	PUNCT
ap-1344	63	1	|ψ3	|ψ3	PROPN
ap-1344	63	2	〉	〉	NOUN
ap-1344	63	3	=	=	SYM
ap-1344	63	4	1√	1√	PROPN
ap-1344	63	5	3	3	NUM
ap-1344	63	6	(	(	PUNCT
ap-1344	63	7	q2|001〉+	q2|001〉+	NOUN
ap-1344	63	8	q|010〉+	q|010〉+	PROPN
ap-1344	63	9	|100	|100	PROPN
ap-1344	63	10	〉	〉	NOUN
ap-1344	63	11	)	)	PUNCT
ap-1344	64	1	|ψ4	|ψ4	PROPN
ap-1344	64	2	〉	〉	NOUN
ap-1344	64	3	=	=	SYM
ap-1344	64	4	1√	1√	NUM
ap-1344	64	5	3	3	NUM
ap-1344	64	6	(	(	PUNCT
ap-1344	64	7	|001〉+	|001〉+	NOUN
ap-1344	64	8	|010〉+	|010〉+	NOUN
ap-1344	64	9	|100	|100	NOUN
ap-1344	64	10	〉	〉	NUM
ap-1344	64	11	)	)	PUNCT
ap-1344	64	12	|ψ5	|ψ5	VERB
ap-1344	64	13	〉	〉	NOUN
ap-1344	64	14	=	=	SYM
ap-1344	64	15	1√	1√	NUM
ap-1344	64	16	3	3	NUM
ap-1344	64	17	(	(	PUNCT
ap-1344	64	18	q|110〉+	q|110〉+	PROPN
ap-1344	64	19	q2|101〉+	q2|101〉+	ADP
ap-1344	64	20	|011	|011	PROPN
ap-1344	64	21	〉	〉	NUM
ap-1344	64	22	)	)	PUNCT
ap-1344	64	23	(	(	PUNCT
ap-1344	64	24	5	5	X
ap-1344	64	25	)	)	PUNCT
ap-1344	64	26	|ψ6	|ψ6	PROPN
ap-1344	64	27	〉	〉	NOUN
ap-1344	64	28	=	=	SYM
ap-1344	64	29	1√	1√	PROPN
ap-1344	64	30	3	3	NUM
ap-1344	64	31	(	(	PUNCT
ap-1344	64	32	q2|110〉+	q2|110〉+	ADP
ap-1344	64	33	q|101〉+	q|101〉+	PROPN
ap-1344	64	34	|011	|011	PROPN
ap-1344	64	35	〉	〉	NOUN
ap-1344	64	36	)	)	PUNCT
ap-1344	65	1	|ψ7	|ψ7	NOUN
ap-1344	65	2	〉	〉	NUM
ap-1344	65	3	=	=	SYM
ap-1344	65	4	1√	1√	NUM
ap-1344	65	5	3	3	NUM
ap-1344	65	6	(	(	PUNCT
ap-1344	65	7	|110〉+	|110〉+	PROPN
ap-1344	65	8	|101〉+	|101〉+	PROPN
ap-1344	65	9	|011	|011	PROPN
ap-1344	65	10	〉	〉	NUM
ap-1344	65	11	)	)	PUNCT
ap-1344	65	12	|ψ8	|ψ8	VERB
ap-1344	65	13	〉	〉	NOUN
ap-1344	65	14	=	=	SYM
ap-1344	65	15	|111	|111	PROPN
ap-1344	65	16	〉	〉	PROPN
ap-1344	65	17	,	,	PUNCT
ap-1344	65	18	where	where	SCONJ
ap-1344	65	19	q	q	PROPN
ap-1344	65	20	=	=	PRON
ap-1344	65	21	ei2π/3	ei2π/3	PROPN
ap-1344	65	22	(	(	PUNCT
ap-1344	65	23	these	these	DET
ap-1344	65	24	eigenvectors	eigenvector	NOUN
ap-1344	65	25	should	should	AUX
ap-1344	65	26	be	be	AUX
ap-1344	65	27	also	also	ADV
ap-1344	65	28	the	the	DET
ap-1344	65	29	eigenstates	eigenstate	NOUN
ap-1344	65	30	of	of	ADP
ap-1344	65	31	cyclic	cyclic	ADJ
ap-1344	65	32	(	(	PUNCT
ap-1344	65	33	rotation	rotation	NOUN
ap-1344	65	34	)	)	PUNCT
ap-1344	65	35	operator	operator	NOUN
ap-1344	65	36	p	p	NOUN
ap-1344	65	37	with	with	ADP
ap-1344	65	38	eigenvalues	eigenvalue	NOUN
ap-1344	65	39	1	1	NUM
ap-1344	65	40	,	,	PUNCT
ap-1344	65	41	q	q	NOUN
ap-1344	65	42	and	and	CCONJ
ap-1344	65	43	q2	q2	NOUN
ap-1344	65	44	,	,	PUNCT
ap-1344	65	45	satisfying	satisfy	VERB
ap-1344	65	46	q2	q2	NOUN
ap-1344	65	47	+	+	CCONJ
ap-1344	65	48	q	q	PUNCT
ap-1344	66	1	+	+	NUM
ap-1344	66	2	1	1	NUM
ap-1344	66	3	=	=	SYM
ap-1344	66	4	0	0	NUM
ap-1344	66	5	)	)	PUNCT
ap-1344	66	6	.	.	PUNCT
ap-1344	67	1	8	8	NUM
ap-1344	67	2	acta	acta	PROPN
ap-1344	67	3	polytechnica	polytechnica	PROPN
ap-1344	67	4	vol	vol	NOUN
ap-1344	67	5	.	.	PUNCT
ap-1344	68	1	51	51	NUM
ap-1344	68	2	no	no	NOUN
ap-1344	68	3	.	.	PUNCT
ap-1344	69	1	1/2011	1/2011	NUM
ap-1344	69	2	for	for	ADP
ap-1344	69	3	the	the	DET
ap-1344	69	4	above	above	ADV
ap-1344	69	5	-	-	PUNCT
ap-1344	69	6	defined	define	VERB
ap-1344	69	7	aand	aand	ADJ
ap-1344	69	8	b	b	ADJ
ap-1344	69	9	-	-	PUNCT
ap-1344	69	10	single	single	ADJ
ap-1344	69	11	site	site	NOUN
ap-1344	69	12	magnetizations	magnetization	NOUN
ap-1344	69	13	we	we	PRON
ap-1344	69	14	obtain	obtain	VERB
ap-1344	69	15	(	(	PUNCT
ap-1344	69	16	here	here	ADV
ap-1344	69	17	and	and	CCONJ
ap-1344	69	18	further	far	ADV
ap-1344	69	19	the	the	DET
ap-1344	69	20	boltzman	boltzman	NOUN
ap-1344	69	21	’s	’s	PART
ap-1344	69	22	constant	constant	ADJ
ap-1344	69	23	is	be	AUX
ap-1344	69	24	set	set	VERB
ap-1344	69	25	to	to	PART
ap-1344	69	26	be	be	AUX
ap-1344	69	27	kb	kb	PROPN
ap-1344	69	28	=	=	SYM
ap-1344	69	29	1	1	NUM
ap-1344	69	30	):	):	PUNCT
ap-1344	69	31	ma	ma	PROPN
ap-1344	69	32	=	=	PROPN
ap-1344	69	33	(	(	PUNCT
ap-1344	69	34	6a	6a	NOUN
ap-1344	69	35	)	)	PUNCT
ap-1344	69	36	1	1	NUM
ap-1344	69	37	6	6	NUM
ap-1344	69	38	3	3	NUM
ap-1344	69	39	sinh	sinh	NOUN
ap-1344	69	40	(	(	PUNCT
ap-1344	69	41	3γa	3γa	ADJ
ap-1344	69	42	2	2	NUM
ap-1344	69	43	t	t	NOUN
ap-1344	69	44	)	)	PUNCT
ap-1344	70	1	+	+	CCONJ
ap-1344	70	2	2e	2e	PROPN
ap-1344	70	3	3λaa	3λaa	NUM
ap-1344	70	4	2	2	NUM
ap-1344	70	5	t	t	NOUN
ap-1344	70	6	sinh	sinh	NOUN
ap-1344	70	7	(	(	PUNCT
ap-1344	70	8	γa	γa	PROPN
ap-1344	70	9	2	2	NUM
ap-1344	70	10	t	t	NOUN
ap-1344	70	11	)	)	PUNCT
ap-1344	71	1	+	+	CCONJ
ap-1344	71	2	sinh	sinh	NOUN
ap-1344	71	3	(	(	PUNCT
ap-1344	71	4	γa	γa	PROPN
ap-1344	71	5	2	2	NUM
ap-1344	71	6	t	t	NOUN
ap-1344	71	7	)	)	PUNCT
ap-1344	71	8	cosh	cosh	NOUN
ap-1344	71	9	(	(	PUNCT
ap-1344	71	10	3γa	3γa	ADJ
ap-1344	71	11	2	2	NUM
ap-1344	71	12	t	t	NOUN
ap-1344	71	13	)	)	PUNCT
ap-1344	72	1	+	+	CCONJ
ap-1344	72	2	2e	2e	PROPN
ap-1344	72	3	3λaa	3λaa	NUM
ap-1344	72	4	2	2	NUM
ap-1344	72	5	t	t	NOUN
ap-1344	72	6	cosh	cosh	NOUN
ap-1344	72	7	(	(	PUNCT
ap-1344	72	8	γa	γa	NOUN
ap-1344	72	9	2	2	NUM
ap-1344	72	10	t	t	NOUN
ap-1344	72	11	)	)	PUNCT
ap-1344	73	1	+	+	CCONJ
ap-1344	73	2	cosh	cosh	NOUN
ap-1344	73	3	(	(	PUNCT
ap-1344	73	4	γa	γa	NOUN
ap-1344	73	5	2	2	NUM
ap-1344	73	6	t	t	NOUN
ap-1344	73	7	)	)	PUNCT
ap-1344	73	8	,	,	PUNCT
ap-1344	73	9	mb	mb	ADP
ap-1344	73	10	=	=	SYM
ap-1344	73	11	1	1	NUM
ap-1344	73	12	2	2	NUM
ap-1344	73	13	tanh	tanh	NOUN
ap-1344	73	14	(	(	PUNCT
ap-1344	73	15	γb	γb	PROPN
ap-1344	73	16	2	2	NUM
ap-1344	73	17	t	t	NOUN
ap-1344	73	18	)	)	PUNCT
ap-1344	73	19	.	.	PUNCT
ap-1344	74	1	(	(	PUNCT
ap-1344	74	2	6b	6b	NOUN
ap-1344	74	3	)	)	PUNCT
ap-1344	74	4	for	for	ADP
ap-1344	74	5	the	the	DET
ap-1344	74	6	gibbs	gibbs	PROPN
ap-1344	74	7	-	-	PUNCT
ap-1344	74	8	bogoliubov	bogoliubov	VERB
ap-1344	74	9	free	free	ADJ
ap-1344	74	10	energy	energy	NOUN
ap-1344	74	11	(	(	PUNCT
ap-1344	74	12	fgb	fgb	NOUN
ap-1344	74	13	)	)	PUNCT
ap-1344	74	14	of	of	ADP
ap-1344	74	15	the	the	DET
ap-1344	74	16	system	system	NOUN
ap-1344	74	17	we	we	PRON
ap-1344	74	18	obtain	obtain	VERB
ap-1344	74	19	the	the	DET
ap-1344	74	20	following	follow	VERB
ap-1344	74	21	expression	expression	NOUN
ap-1344	74	22	:	:	PUNCT
ap-1344	75	1	fgb	fgb	ADJ
ap-1344	75	2	n	n	NOUN
ap-1344	75	3	=	=	SYM
ap-1344	75	4	λaa	λaa	NOUN
ap-1344	75	5	2	2	NUM
ap-1344	75	6	+	+	SYM
ap-1344	75	7	4jabmamb	4jabmamb	NUM
ap-1344	75	8	−	−	NUM
ap-1344	75	9	2	2	NUM
ap-1344	75	10	t	t	NOUN
ap-1344	75	11	[	[	PUNCT
ap-1344	75	12	1	1	NUM
ap-1344	75	13	3	3	NUM
ap-1344	75	14	ln	ln	NOUN
ap-1344	75	15	{	{	PUNCT
ap-1344	75	16	4e	4e	NOUN
ap-1344	75	17	3jab	3jab	NUM
ap-1344	75	18	2	2	NUM
ap-1344	75	19	t	t	NOUN
ap-1344	75	20	cosh	cosh	NOUN
ap-1344	75	21	(	(	PUNCT
ap-1344	75	22	γa	γa	NOUN
ap-1344	75	23	2	2	NUM
ap-1344	75	24	t	t	NOUN
ap-1344	75	25	)	)	PUNCT
ap-1344	76	1	+2	+2	PRON
ap-1344	76	2	cosh	cosh	NOUN
ap-1344	76	3	(	(	PUNCT
ap-1344	76	4	γa	γa	NOUN
ap-1344	76	5	2	2	NUM
ap-1344	76	6	t	t	NOUN
ap-1344	76	7	)	)	PUNCT
ap-1344	77	1	+	+	CCONJ
ap-1344	77	2	2	2	NUM
ap-1344	77	3	cosh	cosh	NOUN
ap-1344	77	4	(	(	PUNCT
ap-1344	77	5	3γa	3γa	ADJ
ap-1344	77	6	2	2	NUM
ap-1344	77	7	t	t	NOUN
ap-1344	77	8	)	)	PUNCT
ap-1344	77	9	}	}	PUNCT
ap-1344	78	1	+	+	CCONJ
ap-1344	78	2	1	1	NUM
ap-1344	78	3	2	2	NUM
ap-1344	78	4	ln	ln	NOUN
ap-1344	78	5	{	{	PUNCT
ap-1344	78	6	2	2	NUM
ap-1344	78	7	cosh	cosh	NOUN
ap-1344	78	8	(	(	PUNCT
ap-1344	78	9	γb	γb	NOUN
ap-1344	78	10	2	2	NUM
ap-1344	78	11	t	t	NOUN
ap-1344	78	12	)	)	PUNCT
ap-1344	78	13	}	}	PUNCT
ap-1344	78	14	]	]	PUNCT
ap-1344	78	15	.	.	PUNCT
ap-1344	79	1	(	(	PUNCT
ap-1344	79	2	7	7	X
ap-1344	79	3	)	)	SYM
ap-1344	79	4	3	3	NUM
ap-1344	79	5	concurrence	concurrence	NOUN
ap-1344	79	6	and	and	CCONJ
ap-1344	79	7	thermal	thermal	ADJ
ap-1344	79	8	entanglement	entanglement	NOUN
ap-1344	79	9	the	the	DET
ap-1344	79	10	effective	effective	ADJ
ap-1344	79	11	field	field	NOUN
ap-1344	79	12	treatment	treatment	NOUN
ap-1344	79	13	of	of	ADP
ap-1344	79	14	(	(	PUNCT
ap-1344	79	15	1	1	NUM
ap-1344	79	16	)	)	PUNCT
ap-1344	79	17	transforms	transform	VERB
ap-1344	79	18	manybody	manybody	NOUN
ap-1344	79	19	system	system	NOUN
ap-1344	79	20	to	to	ADP
ap-1344	79	21	a	a	DET
ap-1344	79	22	reduced	reduce	VERB
ap-1344	79	23	“	"	PUNCT
ap-1344	79	24	single	single	ADJ
ap-1344	79	25	”	"	PUNCT
ap-1344	79	26	cluster	cluster	NOUN
ap-1344	79	27	study	study	NOUN
ap-1344	79	28	.	.	PUNCT
ap-1344	80	1	this	this	PRON
ap-1344	80	2	allows	allow	VERB
ap-1344	80	3	us	we	PRON
ap-1344	80	4	to	to	PART
ap-1344	80	5	study	study	VERB
ap-1344	80	6	,	,	PUNCT
ap-1344	80	7	in	in	ADP
ap-1344	80	8	particular	particular	ADJ
ap-1344	80	9	,	,	PUNCT
ap-1344	80	10	the	the	DET
ap-1344	80	11	thermal	thermal	ADJ
ap-1344	80	12	(	(	PUNCT
ap-1344	80	13	local	local	ADJ
ap-1344	80	14	)	)	PUNCT
ap-1344	80	15	entanglement	entanglement	NOUN
ap-1344	80	16	properties	property	NOUN
ap-1344	80	17	of	of	ADP
ap-1344	80	18	the	the	DET
ap-1344	80	19	a	a	DET
ap-1344	80	20	-	-	PUNCT
ap-1344	80	21	sublattice	sublattice	NOUN
ap-1344	80	22	in	in	ADP
ap-1344	80	23	terms	term	NOUN
ap-1344	80	24	of	of	ADP
ap-1344	80	25	a	a	DET
ap-1344	80	26	three	three	NUM
ap-1344	80	27	-	-	PUNCT
ap-1344	80	28	qubit	qubit	NOUN
ap-1344	80	29	(	(	PUNCT
ap-1344	80	30	isotropic	isotropic	NOUN
ap-1344	80	31	)	)	PUNCT
ap-1344	80	32	heisenberg	heisenberg	PROPN
ap-1344	80	33	model	model	NOUN
ap-1344	80	34	in	in	ADP
ap-1344	80	35	a	a	DET
ap-1344	80	36	self	self	NOUN
ap-1344	80	37	-	-	PUNCT
ap-1344	80	38	consistent	consistent	ADJ
ap-1344	80	39	field	field	NOUN
ap-1344	80	40	γa	γa	PROPN
ap-1344	80	41	,	,	PUNCT
ap-1344	80	42	which	which	PRON
ap-1344	80	43	carries	carry	VERB
ap-1344	80	44	the	the	DET
ap-1344	80	45	properties	property	NOUN
ap-1344	80	46	of	of	ADP
ap-1344	80	47	the	the	DET
ap-1344	80	48	whole	whole	ADJ
ap-1344	80	49	system	system	NOUN
ap-1344	80	50	.	.	PUNCT
ap-1344	81	1	as	as	ADP
ap-1344	81	2	a	a	DET
ap-1344	81	3	measure	measure	NOUN
ap-1344	81	4	of	of	ADP
ap-1344	81	5	the	the	DET
ap-1344	81	6	pairwise	pairwise	NOUN
ap-1344	81	7	entanglement	entanglement	NOUN
ap-1344	81	8	,	,	PUNCT
ap-1344	81	9	we	we	PRON
ap-1344	81	10	use	use	VERB
ap-1344	81	11	concurrence	concurrence	NOUN
ap-1344	81	12	c(ρ	c(ρ	PROPN
ap-1344	81	13	)	)	PUNCT
ap-1344	82	1	[	[	X
ap-1344	82	2	10	10	NUM
ap-1344	82	3	]	]	PUNCT
ap-1344	82	4	.	.	PUNCT
ap-1344	83	1	the	the	DET
ap-1344	83	2	corresponding	correspond	VERB
ap-1344	83	3	density	density	NOUN
ap-1344	83	4	matrix	matrix	NOUN
ap-1344	83	5	ρ	ρ	NOUN
ap-1344	83	6	is	be	AUX
ap-1344	83	7	defined	define	VERB
ap-1344	83	8	as	as	ADP
ap-1344	83	9	c(ρ	c(ρ	PROPN
ap-1344	83	10	)	)	PUNCT
ap-1344	83	11	=	=	PUNCT
ap-1344	84	1	max{λ1	max{λ1	NOUN
ap-1344	84	2	−	−	NOUN
ap-1344	84	3	λ2	λ2	NOUN
ap-1344	84	4	−	−	PROPN
ap-1344	85	1	λ3	λ3	PROPN
ap-1344	85	2	−	−	PROPN
ap-1344	85	3	λ4	λ4	PROPN
ap-1344	85	4	,	,	PUNCT
ap-1344	85	5	0	0	NUM
ap-1344	85	6	}	}	PUNCT
ap-1344	85	7	,	,	PUNCT
ap-1344	85	8	(	(	PUNCT
ap-1344	85	9	8)	8)	NUM
ap-1344	85	10	where	where	SCONJ
ap-1344	85	11	λi	λi	ADP
ap-1344	85	12	are	be	AUX
ap-1344	85	13	the	the	DET
ap-1344	85	14	square	square	ADJ
ap-1344	85	15	roots	root	NOUN
ap-1344	85	16	of	of	ADP
ap-1344	85	17	the	the	DET
ap-1344	85	18	eigenvalues	eigenvalue	NOUN
ap-1344	85	19	of	of	ADP
ap-1344	85	20	the	the	DET
ap-1344	85	21	operator	operator	NOUN
ap-1344	86	1	ρ̃	ρ̃	PROPN
ap-1344	86	2	=	=	SYM
ap-1344	86	3	ρ12(σ	ρ12(σ	NOUN
ap-1344	86	4	y	y	PROPN
ap-1344	86	5	1	1	NUM
ap-1344	86	6	⊗	⊗	PROPN
ap-1344	86	7	σy	σy	NOUN
ap-1344	86	8	2	2	NUM
ap-1344	86	9	)	)	PUNCT
ap-1344	86	10	ρ	ρ	PROPN
ap-1344	86	11	∗	∗	NOUN
ap-1344	86	12	12(σ	12(σ	NUM
ap-1344	86	13	y	y	PROPN
ap-1344	86	14	1	1	NUM
ap-1344	86	15	⊗	⊗	PROPN
ap-1344	86	16	σy	σy	NOUN
ap-1344	86	17	2	2	NUM
ap-1344	86	18	)	)	PUNCT
ap-1344	86	19	in	in	ADP
ap-1344	86	20	descending	descend	VERB
ap-1344	86	21	order	order	NOUN
ap-1344	86	22	.	.	PUNCT
ap-1344	87	1	since	since	SCONJ
ap-1344	87	2	we	we	PRON
ap-1344	87	3	consider	consider	VERB
ap-1344	87	4	pairwise	pairwise	NOUN
ap-1344	87	5	entanglement	entanglement	NOUN
ap-1344	87	6	,	,	PUNCT
ap-1344	87	7	we	we	PRON
ap-1344	87	8	use	use	VERB
ap-1344	87	9	the	the	DET
ap-1344	87	10	reduced	reduce	VERB
ap-1344	87	11	density	density	NOUN
ap-1344	87	12	matrix	matrix	NOUN
ap-1344	87	13	ρ12	ρ12	NOUN
ap-1344	87	14	=	=	SYM
ap-1344	87	15	tr3ρ	tr3ρ	PROPN
ap-1344	87	16	.	.	PUNCT
ap-1344	88	1	in	in	ADP
ap-1344	88	2	the	the	DET
ap-1344	88	3	effective	effective	ADJ
ap-1344	88	4	field	field	NOUN
ap-1344	88	5	,	,	PUNCT
ap-1344	88	6	due	due	ADP
ap-1344	88	7	to	to	ADP
ap-1344	88	8	the	the	DET
ap-1344	88	9	classical	classical	ADJ
ap-1344	88	10	character	character	NOUN
ap-1344	88	11	of	of	ADP
ap-1344	88	12	the	the	DET
ap-1344	88	13	ising	ise	VERB
ap-1344	88	14	interaction	interaction	NOUN
ap-1344	88	15	(	(	PUNCT
ap-1344	88	16	sec	sec	PROPN
ap-1344	88	17	.	.	PROPN
ap-1344	88	18	1	1	NUM
ap-1344	88	19	)	)	PUNCT
ap-1344	88	20	between	between	ADP
ap-1344	88	21	trimers	trimer	NOUN
ap-1344	88	22	,	,	PUNCT
ap-1344	88	23	the	the	DET
ap-1344	88	24	concurrence	concurrence	NOUN
ap-1344	88	25	for	for	ADP
ap-1344	88	26	each	each	DET
ap-1344	88	27	decoupled	decouple	VERB
ap-1344	88	28	heisenberg	heisenberg	PROPN
ap-1344	88	29	cluster	cluster	NOUN
ap-1344	88	30	can	can	AUX
ap-1344	88	31	be	be	AUX
ap-1344	88	32	calculated	calculate	VERB
ap-1344	88	33	individually	individually	ADV
ap-1344	88	34	.	.	PUNCT
ap-1344	89	1	in	in	ADP
ap-1344	89	2	our	our	PRON
ap-1344	89	3	case	case	NOUN
ap-1344	89	4	,	,	PUNCT
ap-1344	89	5	the	the	DET
ap-1344	89	6	density	density	NOUN
ap-1344	89	7	matrix	matrix	NOUN
ap-1344	89	8	has	have	VERB
ap-1344	89	9	the	the	DET
ap-1344	89	10	form	form	NOUN
ap-1344	89	11	ρ	ρ	NOUN
ap-1344	89	12	=	=	SYM
ap-1344	89	13	1	1	NUM
ap-1344	89	14	z	z	NOUN
ap-1344	89	15	8∑	8∑	NUM
ap-1344	89	16	k=1	k=1	PUNCT
ap-1344	89	17	exp(−ek	exp(−ek	PROPN
ap-1344	89	18	/	/	SYM
ap-1344	89	19	t	t	NOUN
ap-1344	89	20	)	)	PUNCT
ap-1344	90	1	|ψk	|ψk	NOUN
ap-1344	90	2	〉	〉	PROPN
ap-1344	90	3	〈	〈	PROPN
ap-1344	90	4	ψk|	ψk|	NOUN
ap-1344	90	5	,	,	PUNCT
ap-1344	90	6	ek	ek	NOUN
ap-1344	90	7	and	and	CCONJ
ap-1344	90	8	|ψk	|ψk	PROPN
ap-1344	90	9	〉	〉	NOUN
ap-1344	90	10	taken	take	VERB
ap-1344	90	11	from	from	ADP
ap-1344	90	12	(	(	PUNCT
ap-1344	90	13	4	4	NUM
ap-1344	90	14	)	)	PUNCT
ap-1344	90	15	and	and	CCONJ
ap-1344	90	16	(	(	PUNCT
ap-1344	90	17	5	5	NUM
ap-1344	90	18	)	)	PUNCT
ap-1344	90	19	and	and	CCONJ
ap-1344	90	20	z	z	NOUN
ap-1344	90	21	is	be	AUX
ap-1344	90	22	the	the	DET
ap-1344	90	23	partition	partition	NOUN
ap-1344	90	24	function	function	NOUN
ap-1344	90	25	[	[	X
ap-1344	90	26	z	z	X
ap-1344	90	27	=	=	VERB
ap-1344	90	28	trρ	trρ	NOUN
ap-1344	90	29	=	=	SYM
ap-1344	90	30	e−	e−	PROPN
ap-1344	90	31	3(2γa+λaa	3(2γa+λaa	NUM
ap-1344	90	32	)	)	PUNCT
ap-1344	90	33	4	4	NUM
ap-1344	90	34	t	t	NOUN
ap-1344	90	35	(	(	PUNCT
ap-1344	90	36	1	1	NUM
ap-1344	90	37	+	+	NUM
ap-1344	90	38	e	e	X
ap-1344	90	39	γa	γa	PROPN
ap-1344	90	40	t	t	PROPN
ap-1344	90	41	)	)	PUNCT
ap-1344	90	42	(	(	PUNCT
ap-1344	90	43	1	1	NUM
ap-1344	90	44	+	+	NUM
ap-1344	90	45	e	e	PROPN
ap-1344	90	46	2γa	2γa	PROPN
ap-1344	90	47	t	t	PROPN
ap-1344	90	48	+	+	CCONJ
ap-1344	90	49	2e	2e	PROPN
ap-1344	90	50	2γa+3λaa	2γa+3λaa	NUM
ap-1344	90	51	2	2	NUM
ap-1344	90	52	t	t	NOUN
ap-1344	90	53	)	)	PUNCT
ap-1344	90	54	]	]	PUNCT
ap-1344	90	55	.	.	PUNCT
ap-1344	91	1	while	while	SCONJ
ap-1344	91	2	the	the	DET
ap-1344	91	3	construction	construction	NOUN
ap-1344	91	4	of	of	ADP
ap-1344	91	5	ρ̃	ρ̃	PROPN
ap-1344	91	6	does	do	AUX
ap-1344	91	7	not	not	PART
ap-1344	91	8	depend	depend	VERB
ap-1344	91	9	on	on	ADP
ap-1344	91	10	whether	whether	SCONJ
ap-1344	91	11	γa	γa	PRON
ap-1344	91	12	is	be	AUX
ap-1344	91	13	an	an	DET
ap-1344	91	14	effective	effective	ADJ
ap-1344	91	15	parameter	parameter	NOUN
ap-1344	91	16	or	or	CCONJ
ap-1344	91	17	a	a	DET
ap-1344	91	18	real	real	ADJ
ap-1344	91	19	magnetic	magnetic	ADJ
ap-1344	91	20	field	field	NOUN
ap-1344	91	21	,	,	PUNCT
ap-1344	91	22	the	the	DET
ap-1344	91	23	self	self	NOUN
ap-1344	91	24	-	-	PUNCT
ap-1344	91	25	consistent	consistent	ADJ
ap-1344	91	26	field	field	NOUN
ap-1344	91	27	solution	solution	NOUN
ap-1344	91	28	for	for	ADP
ap-1344	91	29	γa	γa	PROPN
ap-1344	91	30	is	be	AUX
ap-1344	91	31	crucial	crucial	ADJ
ap-1344	91	32	in	in	ADP
ap-1344	91	33	obtaining	obtain	VERB
ap-1344	91	34	the	the	DET
ap-1344	91	35	final	final	ADJ
ap-1344	91	36	results	result	NOUN
ap-1344	91	37	.	.	PUNCT
ap-1344	92	1	in	in	ADP
ap-1344	92	2	this	this	DET
ap-1344	92	3	paper	paper	NOUN
ap-1344	92	4	we	we	PRON
ap-1344	92	5	skip	skip	VERB
ap-1344	92	6	specific	specific	ADJ
ap-1344	92	7	derivations	derivation	NOUN
ap-1344	92	8	and	and	CCONJ
ap-1344	92	9	rather	rather	ADV
ap-1344	92	10	focus	focus	VERB
ap-1344	92	11	only	only	ADV
ap-1344	92	12	on	on	ADP
ap-1344	92	13	the	the	DET
ap-1344	92	14	final	final	ADJ
ap-1344	92	15	results	result	NOUN
ap-1344	92	16	.	.	PUNCT
ap-1344	93	1	concurrence	concurrence	NOUN
ap-1344	93	2	c(ρ	c(ρ	PROPN
ap-1344	93	3	)	)	PUNCT
ap-1344	93	4	is	be	AUX
ap-1344	93	5	given	give	VERB
ap-1344	93	6	by	by	ADP
ap-1344	93	7	[	[	X
ap-1344	93	8	12	12	NUM
ap-1344	93	9	]	]	X
ap-1344	93	10	:	:	PUNCT
ap-1344	93	11	c(ρ	c(ρ	PROPN
ap-1344	93	12	)	)	PUNCT
ap-1344	93	13	=	=	SYM
ap-1344	93	14	2	2	NUM
ap-1344	93	15	z	z	NOUN
ap-1344	93	16	max(|y|	max(|y|	NOUN
ap-1344	93	17	−	−	ADP
ap-1344	93	18	√	√	PROPN
ap-1344	93	19	uv	uv	INTJ
ap-1344	93	20	,	,	PUNCT
ap-1344	93	21	0	0	NUM
ap-1344	93	22	)	)	PUNCT
ap-1344	93	23	,	,	PUNCT
ap-1344	93	24	(	(	PUNCT
ap-1344	93	25	9	9	X
ap-1344	93	26	)	)	PUNCT
ap-1344	93	27	where	where	SCONJ
ap-1344	93	28	u	u	NOUN
ap-1344	93	29	=	=	NOUN
ap-1344	93	30	1	1	NUM
ap-1344	93	31	3	3	NUM
ap-1344	93	32	e	e	NOUN
ap-1344	93	33	2γa−3λaa	2γa−3λaa	NUM
ap-1344	93	34	4	4	NUM
ap-1344	93	35	t	t	NOUN
ap-1344	93	36	(	(	PUNCT
ap-1344	93	37	1	1	NUM
ap-1344	93	38	+	+	NUM
ap-1344	93	39	3e	3e	X
ap-1344	93	40	γa	γa	PROPN
ap-1344	93	41	t	t	PROPN
ap-1344	93	42	+	+	CCONJ
ap-1344	93	43	2e	2e	PROPN
ap-1344	93	44	3λaa	3λaa	NUM
ap-1344	93	45	2	2	NUM
ap-1344	93	46	t	t	NOUN
ap-1344	93	47	)	)	PUNCT
ap-1344	93	48	v	v	NOUN
ap-1344	93	49	=	=	SYM
ap-1344	93	50	1	1	NUM
ap-1344	93	51	3	3	NUM
ap-1344	93	52	e−	e−	PROPN
ap-1344	93	53	3(2γa+λaa	3(2γa+λaa	NUM
ap-1344	93	54	)	)	PUNCT
ap-1344	93	55	4	4	NUM
ap-1344	93	56	t	t	NOUN
ap-1344	93	57	(	(	PUNCT
ap-1344	93	58	3	3	NUM
ap-1344	93	59	+	+	NUM
ap-1344	93	60	e	e	X
ap-1344	93	61	γa	γa	PROPN
ap-1344	93	62	t	t	PROPN
ap-1344	93	63	+	+	CCONJ
ap-1344	93	64	2e	2e	PROPN
ap-1344	93	65	2γa+3λaa	2γa+3λaa	NUM
ap-1344	93	66	2	2	NUM
ap-1344	93	67	t	t	NOUN
ap-1344	93	68	)	)	PUNCT
ap-1344	93	69	(	(	PUNCT
ap-1344	93	70	10	10	NUM
ap-1344	93	71	)	)	PUNCT
ap-1344	93	72	w	w	NOUN
ap-1344	93	73	=	=	SYM
ap-1344	93	74	1	1	NUM
ap-1344	93	75	3	3	NUM
ap-1344	93	76	e−	e−	PROPN
ap-1344	93	77	2γa+3λaa	2γa+3λaa	NUM
ap-1344	93	78	4	4	NUM
ap-1344	93	79	t	t	NOUN
ap-1344	93	80	(	(	PUNCT
ap-1344	93	81	1	1	NUM
ap-1344	93	82	+	+	NUM
ap-1344	93	83	e	e	X
ap-1344	93	84	γa	γa	PROPN
ap-1344	93	85	t	t	PROPN
ap-1344	93	86	)	)	PUNCT
ap-1344	93	87	(	(	PUNCT
ap-1344	93	88	1	1	NUM
ap-1344	93	89	+	+	NUM
ap-1344	93	90	2e	2e	PROPN
ap-1344	93	91	3λaa	3λaa	NUM
ap-1344	93	92	2	2	NUM
ap-1344	93	93	t	t	NOUN
ap-1344	93	94	)	)	PUNCT
ap-1344	94	1	y	y	PROPN
ap-1344	94	2	=	=	PUNCT
ap-1344	94	3	−1	−1	NOUN
ap-1344	94	4	3	3	NUM
ap-1344	94	5	e−	e−	PROPN
ap-1344	94	6	2γa+3λaa	2γa+3λaa	NUM
ap-1344	94	7	4	4	NUM
ap-1344	94	8	t	t	NOUN
ap-1344	94	9	(	(	PUNCT
ap-1344	94	10	1	1	NUM
ap-1344	94	11	+	+	NUM
ap-1344	94	12	e	e	X
ap-1344	94	13	γa	γa	PROPN
ap-1344	94	14	t	t	PROPN
ap-1344	94	15	)	)	PUNCT
ap-1344	94	16	(	(	PUNCT
ap-1344	94	17	−1	−1	NOUN
ap-1344	95	1	+	+	CCONJ
ap-1344	95	2	e	e	PROPN
ap-1344	95	3	3λaa	3λaa	NUM
ap-1344	95	4	2	2	NUM
ap-1344	95	5	t	t	NOUN
ap-1344	95	6	)	)	PUNCT
ap-1344	95	7	.	.	PUNCT
ap-1344	96	1	first	first	ADV
ap-1344	96	2	,	,	PUNCT
ap-1344	96	3	we	we	PRON
ap-1344	96	4	find	find	VERB
ap-1344	96	5	that	that	SCONJ
ap-1344	96	6	concurrence	concurrence	NOUN
ap-1344	96	7	c(ρ	c(ρ	PROPN
ap-1344	96	8	)	)	PUNCT
ap-1344	96	9	as	as	SCONJ
ap-1344	96	10	an	an	DET
ap-1344	96	11	entanglement	entanglement	NOUN
ap-1344	96	12	measure	measure	NOUN
ap-1344	96	13	exhibits	exhibit	VERB
ap-1344	96	14	critical	critical	ADJ
ap-1344	96	15	behavior	behavior	NOUN
ap-1344	96	16	upon	upon	SCONJ
ap-1344	96	17	the	the	DET
ap-1344	96	18	temperature	temperature	NOUN
ap-1344	96	19	variation	variation	NOUN
ap-1344	96	20	shown	show	VERB
ap-1344	96	21	in	in	ADP
ap-1344	96	22	fig	fig	NOUN
ap-1344	96	23	.	.	PUNCT
ap-1344	97	1	2	2	NUM
ap-1344	97	2	in	in	ADP
ap-1344	97	3	the	the	DET
ap-1344	97	4	absence	absence	NOUN
ap-1344	97	5	of	of	ADP
ap-1344	97	6	a	a	DET
ap-1344	97	7	field	field	NOUN
ap-1344	97	8	.	.	PUNCT
ap-1344	98	1	fig	fig	NOUN
ap-1344	98	2	.	.	PUNCT
ap-1344	99	1	2	2	NUM
ap-1344	99	2	:	:	PUNCT
ap-1344	99	3	concurrence	concurrence	NOUN
ap-1344	99	4	c(ρ	c(ρ	PROPN
ap-1344	99	5	)	)	PUNCT
ap-1344	99	6	versus	versus	ADP
ap-1344	99	7	temperature	temperature	NOUN
ap-1344	99	8	field	field	NOUN
ap-1344	99	9	for	for	ADP
ap-1344	99	10	jaa	jaa	PROPN
ap-1344	99	11	=	=	SYM
ap-1344	99	12	1	1	NUM
ap-1344	99	13	,	,	PUNCT
ap-1344	99	14	α	α	NOUN
ap-1344	99	15	=	=	NOUN
ap-1344	99	16	0.025	0.025	NUM
ap-1344	99	17	and	and	CCONJ
ap-1344	99	18	h	h	NOUN
ap-1344	100	1	=	=	NOUN
ap-1344	100	2	0	0	NOUN
ap-1344	101	1	the	the	DET
ap-1344	101	2	system	system	NOUN
ap-1344	101	3	is	be	AUX
ap-1344	101	4	entangled	entangle	VERB
ap-1344	101	5	at	at	ADP
ap-1344	101	6	a	a	DET
ap-1344	101	7	relatively	relatively	ADV
ap-1344	101	8	low	low	ADJ
ap-1344	101	9	temperature	temperature	NOUN
ap-1344	101	10	,	,	PUNCT
ap-1344	101	11	below	below	ADP
ap-1344	101	12	the	the	DET
ap-1344	101	13	threshold	threshold	NOUN
ap-1344	101	14	,	,	PUNCT
ap-1344	101	15	tth	tth	PROPN
ap-1344	101	16	.	.	PUNCT
ap-1344	102	1	this	this	DET
ap-1344	102	2	effect	effect	NOUN
ap-1344	102	3	apparently	apparently	ADV
ap-1344	102	4	occurs	occur	VERB
ap-1344	102	5	because	because	SCONJ
ap-1344	102	6	of	of	ADP
ap-1344	102	7	the	the	DET
ap-1344	102	8	ising	ise	VERB
ap-1344	102	9	-	-	PUNCT
ap-1344	102	10	type	type	NOUN
ap-1344	102	11	interaction	interaction	NOUN
ap-1344	102	12	replaced	replace	VERB
ap-1344	102	13	by	by	ADP
ap-1344	102	14	the	the	DET
ap-1344	102	15	effective	effective	ADJ
ap-1344	102	16	field	field	NOUN
ap-1344	102	17	γa	γa	NOUN
ap-1344	102	18	=	=	SYM
ap-1344	102	19	2jabmb+h	2jabmb+h	PROPN
ap-1344	102	20	acting	act	VERB
ap-1344	102	21	upon	upon	SCONJ
ap-1344	102	22	the	the	DET
ap-1344	102	23	a	a	PRON
ap-1344	102	24	-	-	PUNCT
ap-1344	102	25	spins	spin	NOUN
ap-1344	102	26	,	,	PUNCT
ap-1344	102	27	which	which	DET
ap-1344	102	28	isnon	isnon	ADV
ap-1344	102	29	-	-	PUNCT
ap-1344	102	30	zero	zero	NUM
ap-1344	102	31	at	at	ADP
ap-1344	102	32	h	h	NOUN
ap-1344	102	33	=	=	NOUN
ap-1344	102	34	0	0	NUM
ap-1344	102	35	.	.	PUNCT
ap-1344	103	1	thus	thus	ADV
ap-1344	103	2	,	,	PUNCT
ap-1344	103	3	effective	effective	ADJ
ap-1344	103	4	field	field	NOUN
ap-1344	103	5	provides	provide	VERB
ap-1344	103	6	a	a	DET
ap-1344	103	7	solution	solution	NOUN
ap-1344	103	8	for	for	ADP
ap-1344	103	9	an	an	DET
ap-1344	103	10	entanglement	entanglement	NOUN
ap-1344	103	11	resource	resource	NOUN
ap-1344	103	12	in	in	ADP
ap-1344	103	13	the	the	DET
ap-1344	103	14	absence	absence	NOUN
ap-1344	103	15	of	of	ADP
ap-1344	103	16	a	a	DET
ap-1344	103	17	magnetic	magnetic	ADJ
ap-1344	103	18	field	field	NOUN
ap-1344	103	19	.	.	PUNCT
ap-1344	104	1	another	another	DET
ap-1344	104	2	important	important	ADJ
ap-1344	104	3	observation	observation	NOUN
ap-1344	104	4	:	:	PUNCT
ap-1344	104	5	the	the	DET
ap-1344	104	6	threshold	threshold	NOUN
ap-1344	104	7	temperature	temperature	NOUN
ap-1344	104	8	at	at	ADP
ap-1344	104	9	which	which	PRON
ap-1344	104	10	c(ρ	c(ρ	PROPN
ap-1344	104	11	)	)	PUNCT
ap-1344	104	12	becomes	become	VERB
ap-1344	104	13	zero	zero	NUM
ap-1344	104	14	coincides	coincide	VERB
ap-1344	104	15	with	with	ADP
ap-1344	104	16	the	the	DET
ap-1344	104	17	critical	critical	ADJ
ap-1344	104	18	temperature	temperature	NOUN
ap-1344	104	19	tc	tc	NOUN
ap-1344	104	20	at	at	ADP
ap-1344	104	21	which	which	PRON
ap-1344	104	22	spontaneous	spontaneous	ADJ
ap-1344	104	23	magnetization	magnetization	NOUN
ap-1344	104	24	m	m	AUX
ap-1344	104	25	vanishes	vanish	VERB
ap-1344	104	26	for	for	ADP
ap-1344	104	27	the	the	DET
ap-1344	104	28	smooth	smooth	ADJ
ap-1344	104	29	(	(	PUNCT
ap-1344	104	30	second	second	ADJ
ap-1344	104	31	order	order	NOUN
ap-1344	104	32	)	)	PUNCT
ap-1344	104	33	phase	phase	NOUN
ap-1344	104	34	transition	transition	NOUN
ap-1344	104	35	between	between	ADP
ap-1344	104	36	ordereddisordered	ordereddisordere	VERB
ap-1344	104	37	phases	phase	NOUN
ap-1344	104	38	.	.	PUNCT
ap-1344	105	1	expanding	expand	VERB
ap-1344	105	2	ma	ma	PROPN
ap-1344	105	3	into	into	ADP
ap-1344	105	4	series	series	NOUN
ap-1344	105	5	near	near	ADP
ap-1344	105	6	the	the	DET
ap-1344	105	7	phase	phase	NOUN
ap-1344	105	8	transition	transition	NOUN
ap-1344	105	9	point	point	NOUN
ap-1344	105	10	:	:	PUNCT
ap-1344	105	11	m	m	AUX
ap-1344	105	12	=	=	PUNCT
ap-1344	105	13	am+	am+	ADJ
ap-1344	105	14	bm3	bm3	NOUN
ap-1344	106	1	+	+	X
ap-1344	106	2	cm5	cm5	NOUN
ap-1344	107	1	+	+	CCONJ
ap-1344	107	2	.	.	PUNCT
ap-1344	107	3	.	.	PUNCT
ap-1344	108	1	.	.	PUNCT
ap-1344	109	1	(	(	PUNCT
ap-1344	109	2	11	11	NUM
ap-1344	109	3	)	)	PUNCT
ap-1344	109	4	one	one	NUM
ap-1344	109	5	finds	find	VERB
ap-1344	109	6	tc	tc	NOUN
ap-1344	109	7	from	from	ADP
ap-1344	109	8	the	the	DET
ap-1344	109	9	condition	condition	NOUN
ap-1344	109	10	a	a	DET
ap-1344	109	11	=	=	SYM
ap-1344	109	12	1	1	NUM
ap-1344	109	13	,	,	PUNCT
ap-1344	109	14	b	b	X
ap-1344	109	15	<	<	X
ap-1344	109	16	0	0	PUNCT
ap-1344	110	1	(	(	PUNCT
ap-1344	110	2	for	for	ADP
ap-1344	110	3	the	the	DET
ap-1344	110	4	case	case	NOUN
ap-1344	110	5	jaa	jaa	PROPN
ap-1344	110	6	=	=	SYM
ap-1344	110	7	1	1	NUM
ap-1344	110	8	and	and	CCONJ
ap-1344	110	9	α	α	NOUN
ap-1344	110	10	=	=	PUNCT
ap-1344	110	11	0.025	0.025	NUM
ap-1344	110	12	,	,	PUNCT
ap-1344	110	13	tc	tc	NOUN
ap-1344	110	14	=	=	NOUN
ap-1344	110	15	0.010	0.010	NUM
ap-1344	110	16	206	206	NUM
ap-1344	110	17	2	2	NUM
ap-1344	110	18	)	)	PUNCT
ap-1344	110	19	.	.	PUNCT
ap-1344	111	1	the	the	DET
ap-1344	111	2	coincidence	coincidence	NOUN
ap-1344	111	3	of	of	ADP
ap-1344	111	4	the	the	DET
ap-1344	111	5	critical	critical	ADJ
ap-1344	111	6	and	and	CCONJ
ap-1344	111	7	threshold	threshold	NOUN
ap-1344	111	8	temperatures	temperature	NOUN
ap-1344	111	9	for	for	ADP
ap-1344	111	10	magnetization	magnetization	NOUN
ap-1344	111	11	and	and	CCONJ
ap-1344	111	12	concurrence	concurrence	NOUN
ap-1344	111	13	is	be	AUX
ap-1344	111	14	a	a	DET
ap-1344	111	15	consequence	consequence	NOUN
ap-1344	111	16	of	of	ADP
ap-1344	111	17	the	the	DET
ap-1344	111	18	fact	fact	NOUN
ap-1344	111	19	that	that	SCONJ
ap-1344	111	20	at	at	ADP
ap-1344	111	21	tc	tc	ADP
ap-1344	111	22	the	the	DET
ap-1344	111	23	system	system	NOUN
ap-1344	111	24	undergoes	undergo	VERB
ap-1344	111	25	the	the	DET
ap-1344	111	26	order	order	NOUN
ap-1344	111	27	-	-	PUNCT
ap-1344	111	28	disorder	disorder	NOUN
ap-1344	111	29	phase	phase	NOUN
ap-1344	111	30	transition	transition	NOUN
ap-1344	111	31	and	and	CCONJ
ap-1344	111	32	the	the	DET
ap-1344	111	33	second	second	ADJ
ap-1344	111	34	term	term	NOUN
ap-1344	111	35	in	in	ADP
ap-1344	111	36	γa	γa	PRON
ap-1344	111	37	also	also	ADV
ap-1344	111	38	vanishes	vanish	VERB
ap-1344	111	39	(	(	PUNCT
ap-1344	111	40	mb	mb	NOUN
ap-1344	111	41	=	=	SYM
ap-1344	111	42	0	0	NUM
ap-1344	111	43	,	,	PUNCT
ap-1344	111	44	when	when	SCONJ
ap-1344	111	45	h	h	NOUN
ap-1344	111	46	=	=	NOUN
ap-1344	111	47	0	0	NUM
ap-1344	111	48	and	and	CCONJ
ap-1344	111	49	t	t	PROPN
ap-1344	111	50	≥	≥	PROPN
ap-1344	111	51	tc	tc	NUM
ap-1344	111	52	)	)	PUNCT
ap-1344	111	53	.	.	PUNCT
ap-1344	112	1	in	in	ADP
ap-1344	112	2	general	general	ADJ
ap-1344	112	3	,	,	PUNCT
ap-1344	112	4	we	we	PRON
ap-1344	112	5	find	find	VERB
ap-1344	112	6	a	a	DET
ap-1344	112	7	number	number	NOUN
ap-1344	112	8	of	of	ADP
ap-1344	112	9	other	other	ADJ
ap-1344	112	10	similarities	similarity	NOUN
ap-1344	112	11	between	between	ADP
ap-1344	112	12	the	the	DET
ap-1344	112	13	magnetic	magnetic	ADJ
ap-1344	112	14	properties	property	NOUN
ap-1344	112	15	and	and	CCONJ
ap-1344	112	16	the	the	DET
ap-1344	112	17	entanglement	entanglement	NOUN
ap-1344	112	18	of	of	ADP
ap-1344	112	19	the	the	DET
ap-1344	112	20	system	system	NOUN
ap-1344	112	21	.	.	PUNCT
ap-1344	113	1	under	under	ADP
ap-1344	113	2	variation	variation	NOUN
ap-1344	113	3	of	of	ADP
ap-1344	113	4	h	h	NOUN
ap-1344	113	5	,	,	PUNCT
ap-1344	113	6	the	the	DET
ap-1344	113	7	entanglement	entanglement	NOUN
ap-1344	113	8	and	and	CCONJ
ap-1344	113	9	magnetic	magnetic	ADJ
ap-1344	113	10	properties	property	NOUN
ap-1344	113	11	show	show	VERB
ap-1344	113	12	very	very	ADV
ap-1344	113	13	9	9	NUM
ap-1344	113	14	acta	acta	PROPN
ap-1344	113	15	polytechnica	polytechnica	PROPN
ap-1344	113	16	vol	vol	NOUN
ap-1344	113	17	.	.	PUNCT
ap-1344	114	1	51	51	NUM
ap-1344	114	2	no	no	NOUN
ap-1344	114	3	.	.	PUNCT
ap-1344	115	1	1/2011	1/2011	NUM
ap-1344	115	2	rich	rich	ADJ
ap-1344	115	3	behavior	behavior	NOUN
ap-1344	115	4	in	in	ADP
ap-1344	115	5	the	the	DET
ap-1344	115	6	low	low	ADJ
ap-1344	115	7	-	-	PUNCT
ap-1344	115	8	temperature	temperature	NOUN
ap-1344	115	9	region	region	NOUN
ap-1344	115	10	.	.	PUNCT
ap-1344	116	1	fig	fig	NOUN
ap-1344	116	2	.	.	PUNCT
ap-1344	117	1	3	3	NUM
ap-1344	117	2	presents	present	VERB
ap-1344	117	3	the	the	DET
ap-1344	117	4	three	three	NUM
ap-1344	117	5	-	-	PUNCT
ap-1344	117	6	dimensional	dimensional	ADJ
ap-1344	117	7	plot	plot	NOUN
ap-1344	117	8	of	of	ADP
ap-1344	117	9	the	the	DET
ap-1344	117	10	concurrence	concurrence	NOUN
ap-1344	117	11	as	as	ADP
ap-1344	117	12	a	a	DET
ap-1344	117	13	function	function	NOUN
ap-1344	117	14	of	of	ADP
ap-1344	117	15	the	the	DET
ap-1344	117	16	temperature	temperature	NOUN
ap-1344	117	17	and	and	CCONJ
ap-1344	117	18	external	external	ADJ
ap-1344	117	19	magnetic	magnetic	ADJ
ap-1344	117	20	field	field	NOUN
ap-1344	117	21	.	.	PUNCT
ap-1344	118	1	we	we	PRON
ap-1344	118	2	will	will	AUX
ap-1344	118	3	study	study	VERB
ap-1344	118	4	some	some	DET
ap-1344	118	5	other	other	ADJ
ap-1344	118	6	features	feature	NOUN
ap-1344	118	7	in	in	ADP
ap-1344	118	8	the	the	DET
ap-1344	118	9	behavior	behavior	NOUN
ap-1344	118	10	of	of	ADP
ap-1344	118	11	c(ρ	c(ρ	PROPN
ap-1344	118	12	)	)	PUNCT
ap-1344	118	13	by	by	ADP
ap-1344	118	14	returning	return	VERB
ap-1344	118	15	to	to	ADP
ap-1344	118	16	the	the	DET
ap-1344	118	17	magnetic	magnetic	ADJ
ap-1344	118	18	and	and	CCONJ
ap-1344	118	19	entanglement	entanglement	NOUN
ap-1344	118	20	ground	ground	NOUN
ap-1344	118	21	state	state	NOUN
ap-1344	118	22	properties	property	NOUN
ap-1344	118	23	in	in	ADP
ap-1344	118	24	sec	sec	PROPN
ap-1344	118	25	.	.	PROPN
ap-1344	118	26	4	4	NUM
ap-1344	118	27	.	.	X
ap-1344	118	28	fig	fig	NOUN
ap-1344	118	29	.	.	PUNCT
ap-1344	119	1	3	3	NUM
ap-1344	119	2	:	:	PUNCT
ap-1344	119	3	concurrence	concurrence	NOUN
ap-1344	119	4	c(ρ	c(ρ	PROPN
ap-1344	119	5	)	)	PUNCT
ap-1344	119	6	versus	versus	ADP
ap-1344	119	7	temperature	temperature	NOUN
ap-1344	119	8	t	t	PROPN
ap-1344	119	9	and	and	CCONJ
ap-1344	119	10	external	external	ADJ
ap-1344	119	11	magnetic	magnetic	ADJ
ap-1344	119	12	field	field	NOUN
ap-1344	119	13	h	h	NOUN
ap-1344	119	14	for	for	ADP
ap-1344	119	15	jaa	jaa	PROPN
ap-1344	119	16	=	=	SYM
ap-1344	119	17	1	1	NUM
ap-1344	119	18	,	,	PUNCT
ap-1344	119	19	α	α	NOUN
ap-1344	119	20	=	=	NOUN
ap-1344	119	21	0.025	0.025	NUM
ap-1344	119	22	4	4	NUM
ap-1344	119	23	quantum	quantum	ADJ
ap-1344	119	24	critical	critical	ADJ
ap-1344	119	25	points	point	NOUN
ap-1344	119	26	and	and	CCONJ
ap-1344	119	27	phase	phase	NOUN
ap-1344	119	28	diagrams	diagram	NOUN
ap-1344	119	29	now	now	ADV
ap-1344	119	30	we	we	PRON
ap-1344	119	31	consider	consider	VERB
ap-1344	119	32	the	the	DET
ap-1344	119	33	many	many	ADJ
ap-1344	119	34	-	-	PUNCT
ap-1344	119	35	body	body	NOUN
ap-1344	119	36	quantum	quantum	NOUN
ap-1344	119	37	effects	effect	NOUN
ap-1344	119	38	relevant	relevant	ADJ
ap-1344	119	39	to	to	ADP
ap-1344	119	40	entanglement	entanglement	NOUN
ap-1344	119	41	properties	property	NOUN
ap-1344	119	42	and	and	CCONJ
ap-1344	119	43	discuss	discuss	VERB
ap-1344	119	44	some	some	DET
ap-1344	119	45	similarities	similarity	NOUN
ap-1344	119	46	between	between	ADP
ap-1344	119	47	magnetic	magnetic	ADJ
ap-1344	119	48	(	(	PUNCT
ap-1344	119	49	statistical	statistical	ADJ
ap-1344	119	50	)	)	PUNCT
ap-1344	119	51	properties	property	NOUN
ap-1344	119	52	and	and	CCONJ
ap-1344	119	53	(	(	PUNCT
ap-1344	119	54	quantum	quantum	NOUN
ap-1344	119	55	)	)	PUNCT
ap-1344	119	56	entanglement	entanglement	NOUN
ap-1344	119	57	.	.	PUNCT
ap-1344	120	1	as	as	ADP
ap-1344	120	2	statistical	statistical	ADJ
ap-1344	120	3	characteristics	characteristic	NOUN
ap-1344	120	4	,	,	PUNCT
ap-1344	120	5	the	the	DET
ap-1344	120	6	density	density	NOUN
ap-1344	120	7	distribution	distribution	NOUN
ap-1344	120	8	of	of	ADP
ap-1344	120	9	susceptibility	susceptibility	NOUN
ap-1344	120	10	χ	χ	X
ap-1344	120	11	=	=	PUNCT
ap-1344	120	12	∂ma	∂ma	PROPN
ap-1344	120	13	∂h	∂h	PROPN
ap-1344	120	14	reduced	reduce	VERB
ap-1344	120	15	per	per	ADP
ap-1344	120	16	one	one	NUM
ap-1344	120	17	a	a	DET
ap-1344	120	18	-	-	PUNCT
ap-1344	120	19	site	site	NOUN
ap-1344	120	20	is	be	AUX
ap-1344	120	21	shown	show	VERB
ap-1344	120	22	in	in	ADP
ap-1344	120	23	fig	fig	NOUN
ap-1344	120	24	.	.	PUNCT
ap-1344	121	1	4(a	4(a	NUM
ap-1344	121	2	)	)	PUNCT
ap-1344	122	1	as	as	ADP
ap-1344	122	2	a	a	DET
ap-1344	122	3	function	function	NOUN
ap-1344	122	4	of	of	ADP
ap-1344	122	5	the	the	DET
ap-1344	122	6	coupling	coupling	NOUN
ap-1344	122	7	constant	constant	ADJ
ap-1344	122	8	jaa	jaa	NOUN
ap-1344	122	9	and	and	CCONJ
ap-1344	122	10	the	the	DET
ap-1344	122	11	external	external	ADJ
ap-1344	122	12	field	field	NOUN
ap-1344	122	13	h	h	NOUN
ap-1344	122	14	,	,	PUNCT
ap-1344	122	15	at	at	ADP
ap-1344	122	16	a	a	DET
ap-1344	122	17	relatively	relatively	ADV
ap-1344	122	18	high	high	ADJ
ap-1344	122	19	temperature	temperature	NOUN
ap-1344	122	20	t	t	NOUN
ap-1344	122	21	=	=	SYM
ap-1344	122	22	0.1	0.1	NUM
ap-1344	122	23	,	,	PUNCT
ap-1344	122	24	higher	high	ADJ
ap-1344	122	25	than	than	ADP
ap-1344	122	26	tc	tc	NOUN
ap-1344	122	27	.	.	PUNCT
ap-1344	123	1	the	the	DET
ap-1344	123	2	white	white	ADJ
ap-1344	123	3	stripes	stripe	NOUN
ap-1344	123	4	,	,	PUNCT
ap-1344	123	5	which	which	PRON
ap-1344	123	6	have	have	VERB
ap-1344	123	7	a	a	DET
ap-1344	123	8	certain	certain	ADJ
ap-1344	123	9	a	a	DET
ap-1344	123	10	finite	finite	ADJ
ap-1344	123	11	width	width	NOUN
ap-1344	123	12	due	due	ADP
ap-1344	123	13	to	to	ADP
ap-1344	123	14	nonzero	nonzero	PROPN
ap-1344	123	15	temperature	temperature	NOUN
ap-1344	123	16	,	,	PUNCT
ap-1344	123	17	correspond	correspond	VERB
ap-1344	123	18	to	to	ADP
ap-1344	123	19	the	the	DET
ap-1344	123	20	peaks	peak	NOUN
ap-1344	123	21	of	of	ADP
ap-1344	123	22	the	the	DET
ap-1344	123	23	susceptibility	susceptibility	NOUN
ap-1344	123	24	.	.	PUNCT
ap-1344	124	1	a	a	DET
ap-1344	124	2	similar	similar	ADJ
ap-1344	124	3	density	density	NOUN
ap-1344	124	4	plot	plot	NOUN
ap-1344	124	5	is	be	AUX
ap-1344	124	6	shown	show	VERB
ap-1344	124	7	for	for	ADP
ap-1344	124	8	entanglement	entanglement	NOUN
ap-1344	124	9	in	in	ADP
ap-1344	124	10	fig	fig	NOUN
ap-1344	124	11	.	.	PUNCT
ap-1344	125	1	4	4	NUM
ap-1344	125	2	(	(	PUNCT
ap-1344	125	3	b	b	NOUN
ap-1344	125	4	)	)	PUNCT
ap-1344	125	5	for	for	ADP
ap-1344	125	6	the	the	DET
ap-1344	125	7	same	same	ADJ
ap-1344	125	8	range	range	NOUN
ap-1344	125	9	of	of	ADP
ap-1344	125	10	jaa	jaa	PROPN
ap-1344	125	11	−	−	PROPN
ap-1344	125	12	h	h	NOUN
ap-1344	125	13	parameters	parameter	NOUN
ap-1344	125	14	.	.	PUNCT
ap-1344	126	1	a	a	DET
ap-1344	126	2	comparison	comparison	NOUN
ap-1344	126	3	of	of	ADP
ap-1344	126	4	these	these	DET
ap-1344	126	5	two	two	NUM
ap-1344	126	6	graphs	graph	NOUN
ap-1344	126	7	shows	show	VERB
ap-1344	126	8	that	that	SCONJ
ap-1344	126	9	the	the	DET
ap-1344	126	10	general	general	ADJ
ap-1344	126	11	behavior	behavior	NOUN
ap-1344	126	12	of	of	ADP
ap-1344	126	13	the	the	DET
ap-1344	126	14	statistical	statistical	ADJ
ap-1344	126	15	properties	property	NOUN
ap-1344	126	16	in	in	ADP
ap-1344	126	17	χ	χ	PRON
ap-1344	126	18	resembles	resemble	VERB
ap-1344	126	19	the	the	DET
ap-1344	126	20	features	feature	NOUN
ap-1344	126	21	of	of	ADP
ap-1344	126	22	the	the	DET
ap-1344	126	23	quantum	quantum	ADJ
ap-1344	126	24	concurrence	concurrence	NOUN
ap-1344	126	25	.	.	PUNCT
ap-1344	127	1	(	(	PUNCT
ap-1344	127	2	a	a	X
ap-1344	127	3	)	)	PUNCT
ap-1344	127	4	(	(	PUNCT
ap-1344	127	5	b	b	X
ap-1344	127	6	)	)	PUNCT
ap-1344	127	7	fig	fig	NOUN
ap-1344	127	8	.	.	PUNCT
ap-1344	128	1	4	4	NUM
ap-1344	128	2	:	:	PUNCT
ap-1344	128	3	density	density	NOUN
ap-1344	128	4	plot	plot	NOUN
ap-1344	128	5	of	of	ADP
ap-1344	128	6	(	(	PUNCT
ap-1344	128	7	a	a	PRON
ap-1344	128	8	)	)	PUNCT
ap-1344	128	9	susceptibility	susceptibility	NOUN
ap-1344	128	10	χ	χ	NOUN
ap-1344	128	11	,	,	PUNCT
ap-1344	128	12	(	(	PUNCT
ap-1344	128	13	b	b	X
ap-1344	128	14	)	)	PUNCT
ap-1344	128	15	concurrence	concurrence	NOUN
ap-1344	128	16	c(ρ	c(ρ	PROPN
ap-1344	128	17	)	)	PUNCT
ap-1344	128	18	versus	versus	ADP
ap-1344	128	19	h	h	NOUN
ap-1344	128	20	and	and	CCONJ
ap-1344	128	21	jaa	jaa	PROPN
ap-1344	128	22	for	for	ADP
ap-1344	128	23	α	α	NOUN
ap-1344	128	24	=	=	PUNCT
ap-1344	128	25	0.025	0.025	NUM
ap-1344	128	26	and	and	CCONJ
ap-1344	128	27	t	t	NOUN
ap-1344	128	28	=	=	SYM
ap-1344	128	29	0.1	0.1	NUM
ap-1344	128	30	our	our	PRON
ap-1344	128	31	calculations	calculation	NOUN
ap-1344	128	32	show	show	VERB
ap-1344	128	33	that	that	SCONJ
ap-1344	128	34	the	the	DET
ap-1344	128	35	peaks	peak	NOUN
ap-1344	128	36	in	in	ADP
ap-1344	128	37	magnetic	magnetic	ADJ
ap-1344	128	38	susceptibility	susceptibility	NOUN
ap-1344	128	39	correspond	correspond	VERB
ap-1344	128	40	to	to	ADP
ap-1344	128	41	the	the	DET
ap-1344	128	42	phase	phase	NOUN
ap-1344	128	43	boundaries	boundary	NOUN
ap-1344	128	44	on	on	ADP
ap-1344	128	45	the	the	DET
ap-1344	128	46	jaa	jaa	PROPN
ap-1344	128	47	−h	−h	ADJ
ap-1344	128	48	density	density	NOUN
ap-1344	128	49	diagram	diagram	NOUN
ap-1344	128	50	in	in	ADP
ap-1344	128	51	concurrence	concurrence	NOUN
ap-1344	128	52	c(ρ	c(ρ	PROPN
ap-1344	128	53	)	)	PUNCT
ap-1344	128	54	at	at	ADP
ap-1344	128	55	which	which	PRON
ap-1344	128	56	the	the	DET
ap-1344	128	57	quantum	quantum	ADJ
ap-1344	128	58	coherence	coherence	NOUN
ap-1344	128	59	vanishes	vanish	VERB
ap-1344	128	60	.	.	PUNCT
ap-1344	129	1	as	as	SCONJ
ap-1344	129	2	can	can	AUX
ap-1344	129	3	be	be	AUX
ap-1344	129	4	seen	see	VERB
ap-1344	129	5	,	,	PUNCT
ap-1344	129	6	this	this	PRON
ap-1344	129	7	is	be	AUX
ap-1344	129	8	true	true	ADJ
ap-1344	129	9	only	only	ADV
ap-1344	129	10	for	for	ADP
ap-1344	129	11	the	the	DET
ap-1344	129	12	ising	ise	VERB
ap-1344	129	13	-	-	PUNCT
ap-1344	129	14	heisenberg	heisenberg	PROPN
ap-1344	129	15	model	model	NOUN
ap-1344	129	16	on	on	ADP
ap-1344	129	17	the	the	DET
ap-1344	129	18	tkl	tkl	PROPN
ap-1344	129	19	lattice	lattice	NOUN
ap-1344	129	20	with	with	ADP
ap-1344	129	21	jaa	jaa	PROPN
ap-1344	129	22	>	>	X
ap-1344	129	23	0	0	PUNCT
ap-1344	129	24	coupling	coupling	NOUN
ap-1344	129	25	;	;	PUNCT
ap-1344	129	26	for	for	ADP
ap-1344	129	27	jaa	jaa	PROPN
ap-1344	129	28	<	<	X
ap-1344	129	29	0	0	PUNCT
ap-1344	129	30	coupling	couple	VERB
ap-1344	129	31	the	the	DET
ap-1344	129	32	system	system	NOUN
ap-1344	129	33	is	be	AUX
ap-1344	129	34	non	non	ADJ
ap-1344	129	35	-	-	ADJ
ap-1344	129	36	entangled	entangled	ADJ
ap-1344	129	37	,	,	PUNCT
ap-1344	129	38	c(ρ	c(ρ	PROPN
ap-1344	129	39	)	)	PUNCT
ap-1344	129	40	=	=	SYM
ap-1344	130	1	0	0	X
ap-1344	130	2	.	.	PUNCT
ap-1344	131	1	thus	thus	ADV
ap-1344	131	2	,	,	PUNCT
ap-1344	131	3	the	the	DET
ap-1344	131	4	extremal	extremal	ADJ
ap-1344	131	5	behavior	behavior	NOUN
ap-1344	131	6	of	of	ADP
ap-1344	131	7	χ	χ	PROPN
ap-1344	131	8	is	be	AUX
ap-1344	131	9	not	not	PART
ap-1344	131	10	reproduced	reproduce	VERB
ap-1344	131	11	by	by	ADP
ap-1344	131	12	the	the	DET
ap-1344	131	13	concurrence	concurrence	NOUN
ap-1344	131	14	density	density	NOUN
ap-1344	131	15	.	.	PUNCT
ap-1344	132	1	hence	hence	ADV
ap-1344	132	2	,	,	PUNCT
ap-1344	132	3	although	although	SCONJ
ap-1344	132	4	the	the	DET
ap-1344	132	5	critical	critical	ADJ
ap-1344	132	6	behavior	behavior	NOUN
ap-1344	132	7	of	of	ADP
ap-1344	132	8	the	the	DET
ap-1344	132	9	two	two	NUM
ap-1344	132	10	characteristics	characteristic	NOUN
ap-1344	132	11	coincides	coincide	VERB
ap-1344	132	12	for	for	ADP
ap-1344	132	13	the	the	DET
ap-1344	132	14	antiferromagnetic	antiferromagnetic	ADJ
ap-1344	132	15	region	region	NOUN
ap-1344	132	16	,	,	PUNCT
ap-1344	132	17	only	only	ADV
ap-1344	132	18	(	(	PUNCT
ap-1344	132	19	quantum	quantum	NOUN
ap-1344	132	20	)	)	PUNCT
ap-1344	132	21	concurrence	concurrence	NOUN
ap-1344	132	22	can	can	AUX
ap-1344	132	23	be	be	AUX
ap-1344	132	24	used	use	VERB
ap-1344	132	25	as	as	ADP
ap-1344	132	26	a	a	DET
ap-1344	132	27	reference	reference	NOUN
ap-1344	132	28	for	for	ADP
ap-1344	132	29	quantitative	quantitative	ADJ
ap-1344	132	30	analysis	analysis	NOUN
ap-1344	132	31	of	of	ADP
ap-1344	132	32	qpts	qpt	NOUN
ap-1344	132	33	.	.	PUNCT
ap-1344	133	1	in	in	ADP
ap-1344	133	2	addition	addition	NOUN
ap-1344	133	3	,	,	PUNCT
ap-1344	133	4	we	we	PRON
ap-1344	133	5	study	study	VERB
ap-1344	133	6	here	here	ADV
ap-1344	133	7	the	the	DET
ap-1344	133	8	quantum	quantum	ADJ
ap-1344	133	9	criticality	criticality	NOUN
ap-1344	133	10	in	in	ADP
ap-1344	133	11	the	the	DET
ap-1344	133	12	ground	ground	NOUN
ap-1344	133	13	state	state	NOUN
ap-1344	133	14	phase	phase	NOUN
ap-1344	133	15	diagram	diagram	NOUN
ap-1344	133	16	resulting	result	VERB
ap-1344	133	17	from	from	ADP
ap-1344	133	18	the	the	DET
ap-1344	133	19	magnetic	magnetic	ADJ
ap-1344	133	20	field	field	NOUN
ap-1344	133	21	variation	variation	NOUN
ap-1344	133	22	in	in	ADP
ap-1344	133	23	the	the	DET
ap-1344	133	24	magnetization	magnetization	NOUN
ap-1344	133	25	and	and	CCONJ
ap-1344	133	26	entanglement	entanglement	NOUN
ap-1344	133	27	properties	property	NOUN
ap-1344	133	28	of	of	ADP
ap-1344	133	29	the	the	DET
ap-1344	133	30	a	a	DET
ap-1344	133	31	-	-	PUNCT
ap-1344	133	32	sublattice	sublattice	NOUN
ap-1344	133	33	.	.	PUNCT
ap-1344	134	1	fig	fig	NOUN
ap-1344	134	2	.	.	PUNCT
ap-1344	135	1	5(a	5(a	NUM
ap-1344	135	2	)	)	PUNCT
ap-1344	135	3	shows	show	VERB
ap-1344	135	4	a	a	DET
ap-1344	135	5	phase	phase	NOUN
ap-1344	135	6	diagram	diagram	NOUN
ap-1344	135	7	of	of	ADP
ap-1344	135	8	constant	constant	ADJ
ap-1344	135	9	magnetization	magnetization	NOUN
ap-1344	135	10	for	for	ADP
ap-1344	135	11	the	the	DET
ap-1344	135	12	a	a	DET
ap-1344	135	13	-	-	PUNCT
ap-1344	135	14	sublattice	sublattice	NOUN
ap-1344	135	15	.	.	PUNCT
ap-1344	136	1	this	this	DET
ap-1344	136	2	diagram	diagram	NOUN
ap-1344	136	3	differentiates	differentiate	VERB
ap-1344	136	4	the	the	DET
ap-1344	136	5	following	follow	VERB
ap-1344	136	6	phases	phase	NOUN
ap-1344	136	7	for	for	ADP
ap-1344	136	8	jaa	jaa	PROPN
ap-1344	136	9	>	>	X
ap-1344	136	10	0	0	NUM
ap-1344	136	11	:	:	PUNCT
ap-1344	136	12	phase	phase	NOUN
ap-1344	136	13	i	i	PRON
ap-1344	136	14	corresponds	correspond	VERB
ap-1344	136	15	to	to	ADP
ap-1344	136	16	the	the	DET
ap-1344	136	17	spontaneous	spontaneous	ADJ
ap-1344	136	18	magnetization	magnetization	NOUN
ap-1344	136	19	ma	ma	PROPN
ap-1344	136	20	=	=	PROPN
ap-1344	136	21	1/6	1/6	PROPN
ap-1344	136	22	,	,	PUNCT
ap-1344	136	23	when	when	SCONJ
ap-1344	136	24	spins	spin	NOUN
ap-1344	136	25	in	in	ADP
ap-1344	136	26	the	the	DET
ap-1344	136	27	a	a	PRON
ap-1344	136	28	-	-	PUNCT
ap-1344	136	29	sublattice	sublattice	NOUN
ap-1344	136	30	are	be	AUX
ap-1344	136	31	in	in	ADP
ap-1344	136	32	one	one	NUM
ap-1344	136	33	of	of	ADP
ap-1344	136	34	the	the	DET
ap-1344	136	35	available	available	ADJ
ap-1344	136	36	(	(	PUNCT
ap-1344	136	37	↑↑↓	↑↑↓	INTJ
ap-1344	136	38	)	)	PUNCT
ap-1344	136	39	configurations	configuration	NOUN
ap-1344	136	40	;	;	PUNCT
ap-1344	136	41	phase	phase	NOUN
ap-1344	136	42	ii	ii	NOUN
ap-1344	136	43	corresponds	correspond	VERB
ap-1344	136	44	to	to	ADP
ap-1344	136	45	one	one	NUM
ap-1344	136	46	of	of	ADP
ap-1344	136	47	the	the	DET
ap-1344	136	48	possible	possible	ADJ
ap-1344	136	49	configurations	configuration	NOUN
ap-1344	136	50	(	(	PUNCT
ap-1344	136	51	↓↓↑	↓↓↑	NOUN
ap-1344	136	52	)	)	PUNCT
ap-1344	136	53	with	with	ADP
ap-1344	136	54	ma	ma	PROPN
ap-1344	136	55	=	=	PROPN
ap-1344	136	56	−1/6	−1/6	PROPN
ap-1344	136	57	.	.	PUNCT
ap-1344	137	1	(	(	PUNCT
ap-1344	137	2	a	a	X
ap-1344	137	3	)	)	PUNCT
ap-1344	137	4	(	(	PUNCT
ap-1344	137	5	b	b	X
ap-1344	137	6	)	)	PUNCT
ap-1344	137	7	fig	fig	NOUN
ap-1344	137	8	.	.	PUNCT
ap-1344	138	1	5	5	NUM
ap-1344	138	2	:	:	PUNCT
ap-1344	138	3	(	(	PUNCT
ap-1344	138	4	a	a	DET
ap-1344	138	5	)	)	PUNCT
ap-1344	138	6	phase	phase	NOUN
ap-1344	138	7	diagram	diagram	NOUN
ap-1344	138	8	of	of	ADP
ap-1344	138	9	the	the	DET
ap-1344	138	10	a	a	DET
ap-1344	138	11	-	-	PUNCT
ap-1344	138	12	sublattice	sublattice	NOUN
ap-1344	138	13	for	for	ADP
ap-1344	138	14	|α|	|α|	PROPN
ap-1344	138	15	=	=	PUNCT
ap-1344	138	16	0.025	0.025	NUM
ap-1344	138	17	;	;	PUNCT
ap-1344	138	18	(	(	PUNCT
ap-1344	138	19	b	b	X
ap-1344	138	20	)	)	PUNCT
ap-1344	138	21	density	density	NOUN
ap-1344	138	22	plot	plot	NOUN
ap-1344	138	23	of	of	ADP
ap-1344	138	24	concurrence	concurrence	NOUN
ap-1344	138	25	c(ρ	c(ρ	PROPN
ap-1344	138	26	)	)	PUNCT
ap-1344	138	27	versus	versus	ADP
ap-1344	138	28	h	h	NOUN
ap-1344	138	29	and	and	CCONJ
ap-1344	138	30	jaa	jaa	PROPN
ap-1344	138	31	for	for	ADP
ap-1344	138	32	|α|	|α|	PROPN
ap-1344	138	33	=	=	NOUN
ap-1344	138	34	0.025	0.025	NUM
ap-1344	138	35	at	at	ADP
ap-1344	138	36	zero	zero	NUM
ap-1344	138	37	temperature	temperature	NOUN
ap-1344	138	38	in	in	ADP
ap-1344	138	39	the	the	DET
ap-1344	138	40	ferromagnetic	ferromagnetic	ADJ
ap-1344	138	41	case	case	NOUN
ap-1344	138	42	(	(	PUNCT
ap-1344	138	43	jaa	jaa	X
ap-1344	138	44	<	<	X
ap-1344	138	45	0	0	NUM
ap-1344	138	46	)	)	PUNCT
ap-1344	138	47	we	we	PRON
ap-1344	138	48	have	have	VERB
ap-1344	138	49	full	full	ADJ
ap-1344	138	50	spin	spin	NOUN
ap-1344	138	51	saturation	saturation	NOUN
ap-1344	138	52	in	in	ADP
ap-1344	138	53	regions	region	NOUN
ap-1344	138	54	iii	iii	PROPN
ap-1344	138	55	and	and	CCONJ
ap-1344	138	56	iv	iv	NUM
ap-1344	138	57	,	,	PUNCT
ap-1344	138	58	with	with	ADP
ap-1344	138	59	the	the	DET
ap-1344	138	60	value	value	NOUN
ap-1344	138	61	of	of	ADP
ap-1344	138	62	the	the	DET
ap-1344	138	63	maximum	maximum	ADJ
ap-1344	138	64	magnetization	magnetization	NOUN
ap-1344	138	65	per	per	ADP
ap-1344	138	66	atom	atom	NOUN
ap-1344	139	1	ma	ma	PROPN
ap-1344	139	2	=	=	PROPN
ap-1344	139	3	1/2	1/2	NUM
ap-1344	140	1	[	[	X
ap-1344	140	2	configuration	configuration	NOUN
ap-1344	140	3	(	(	PUNCT
ap-1344	140	4	↓↓↓	↓↓↓	NOUN
ap-1344	140	5	)	)	PUNCT
ap-1344	140	6	]	]	PUNCT
ap-1344	140	7	and	and	CCONJ
ap-1344	140	8	ma	ma	PROPN
ap-1344	140	9	=	=	PROPN
ap-1344	140	10	−1/2	−1/2	PROPN
ap-1344	141	1	[	[	X
ap-1344	141	2	configuration	configuration	NOUN
ap-1344	141	3	(	(	PUNCT
ap-1344	141	4	↑↑↑	↑↑↑	NOUN
ap-1344	141	5	)	)	PUNCT
ap-1344	141	6	]	]	PUNCT
ap-1344	141	7	,	,	PUNCT
ap-1344	141	8	respectively	respectively	ADV
ap-1344	141	9	.	.	PUNCT
ap-1344	142	1	phase	phase	NOUN
ap-1344	142	2	i	i	PRON
ap-1344	142	3	contains	contain	VERB
ap-1344	142	4	the	the	DET
ap-1344	142	5	two	two	NUM
ap-1344	142	6	-	-	PUNCT
ap-1344	142	7	fold	fold	ADJ
ap-1344	142	8	degenerate	degenerate	ADJ
ap-1344	142	9	states	state	NOUN
ap-1344	142	10	|ψ5	|ψ5	VERB
ap-1344	142	11	〉	〉	NUM
ap-1344	142	12	and	and	CCONJ
ap-1344	142	13	|ψ6	|ψ6	NUM
ap-1344	142	14	〉	〉	PROPN
ap-1344	142	15	,	,	PUNCT
ap-1344	142	16	while	while	SCONJ
ap-1344	142	17	phase	phase	NOUN
ap-1344	142	18	ii	ii	NOUN
ap-1344	142	19	contains	contain	VERB
ap-1344	142	20	the	the	DET
ap-1344	142	21	two	two	NUM
ap-1344	142	22	-	-	PUNCT
ap-1344	142	23	fold	fold	ADJ
ap-1344	142	24	degenerate	degenerate	ADJ
ap-1344	142	25	states	state	NOUN
ap-1344	142	26	|ψ2	|ψ2	PROPN
ap-1344	142	27	〉	〉	PROPN
ap-1344	142	28	and	and	CCONJ
ap-1344	142	29	|ψ3	|ψ3	PROPN
ap-1344	142	30	〉	〉	PROPN
ap-1344	142	31	with	with	ADP
ap-1344	142	32	c(ρ	c(ρ	PROPN
ap-1344	142	33	)	)	PUNCT
ap-1344	142	34	=	=	SYM
ap-1344	142	35	1/3	1/3	NUM
ap-1344	142	36	.	.	PUNCT
ap-1344	143	1	phases	phase	NOUN
ap-1344	143	2	iii	iii	NUM
ap-1344	143	3	and	and	CCONJ
ap-1344	143	4	iv	iv	NUM
ap-1344	143	5	correspond	correspond	VERB
ap-1344	143	6	to	to	ADP
ap-1344	143	7	states	state	NOUN
ap-1344	143	8	|ψ1	|ψ1	NOUN
ap-1344	143	9	〉	〉	NUM
ap-1344	143	10	and	and	CCONJ
ap-1344	143	11	|ψ8	|ψ8	VERB
ap-1344	143	12	〉	〉	PROPN
ap-1344	143	13	,	,	PUNCT
ap-1344	143	14	respectively	respectively	ADV
ap-1344	143	15	.	.	PUNCT
ap-1344	144	1	these	these	DET
ap-1344	144	2	phases	phase	NOUN
ap-1344	144	3	are	be	AUX
ap-1344	144	4	non	non	ADJ
ap-1344	144	5	-	-	ADJ
ap-1344	144	6	entangled	entangled	ADJ
ap-1344	144	7	,	,	PUNCT
ap-1344	144	8	(	(	PUNCT
ap-1344	144	9	c(ρ	c(ρ	PROPN
ap-1344	144	10	)	)	PUNCT
ap-1344	144	11	=	=	PUNCT
ap-1344	144	12	0	0	X
ap-1344	144	13	)	)	PUNCT
ap-1344	145	1	[	[	X
ap-1344	145	2	fig	fig	NOUN
ap-1344	145	3	.	.	PUNCT
ap-1344	146	1	5(b	5(b	NUM
ap-1344	146	2	)	)	PUNCT
ap-1344	146	3	]	]	PUNCT
ap-1344	146	4	.	.	PUNCT
ap-1344	147	1	the	the	DET
ap-1344	147	2	area	area	NOUN
ap-1344	147	3	of	of	ADP
ap-1344	147	4	non	non	ADJ
ap-1344	147	5	-	-	ADJ
ap-1344	147	6	zero	zero	NUM
ap-1344	147	7	entanglement	entanglement	NOUN
ap-1344	147	8	coincides	coincide	VERB
ap-1344	147	9	with	with	ADP
ap-1344	147	10	phase	phase	NOUN
ap-1344	147	11	i+ii	i+ii	NOUN
ap-1344	147	12	,	,	PUNCT
ap-1344	147	13	where	where	SCONJ
ap-1344	147	14	|ma|	|ma|	NOUN
ap-1344	147	15	=	=	SYM
ap-1344	147	16	1/6	1/6	NUM
ap-1344	147	17	,	,	PUNCT
ap-1344	147	18	while	while	SCONJ
ap-1344	147	19	the	the	DET
ap-1344	147	20	one	one	NOUN
ap-1344	147	21	with	with	ADP
ap-1344	147	22	zero	zero	NUM
ap-1344	147	23	entanglement	entanglement	NOUN
ap-1344	147	24	(	(	PUNCT
ap-1344	147	25	c(ρ	c(ρ	PROPN
ap-1344	147	26	)	)	PUNCT
ap-1344	147	27	=	=	SYM
ap-1344	147	28	0	0	X
ap-1344	147	29	)	)	PUNCT
ap-1344	147	30	corresponds	correspond	VERB
ap-1344	147	31	to	to	ADP
ap-1344	147	32	phase	phase	NOUN
ap-1344	147	33	iii+	iii+	ADP
ap-1344	147	34	iv	iv	NUM
ap-1344	147	35	with	with	ADP
ap-1344	147	36	|ma|	|ma|	NOUN
ap-1344	147	37	=	=	SYM
ap-1344	147	38	1/2	1/2	NUM
ap-1344	147	39	.	.	PUNCT
ap-1344	148	1	5	5	NUM
ap-1344	148	2	conclusion	conclusion	NOUN
ap-1344	148	3	in	in	ADP
ap-1344	148	4	this	this	DET
ap-1344	148	5	work	work	NOUN
ap-1344	148	6	we	we	PRON
ap-1344	148	7	have	have	AUX
ap-1344	148	8	demonstrated	demonstrate	VERB
ap-1344	148	9	correlations	correlation	NOUN
ap-1344	148	10	between	between	ADP
ap-1344	148	11	magnetic	magnetic	ADJ
ap-1344	148	12	properties	property	NOUN
ap-1344	148	13	and	and	CCONJ
ap-1344	148	14	quantum	quantum	NOUN
ap-1344	148	15	entanglement	entanglement	NOUN
ap-1344	148	16	in	in	ADP
ap-1344	148	17	the	the	DET
ap-1344	148	18	spin1	spin1	NOUN
ap-1344	148	19	2	2	NUM
ap-1344	148	20	ising	ise	VERB
ap-1344	148	21	-	-	PUNCT
ap-1344	148	22	heisenberg	heisenberg	PROPN
ap-1344	148	23	model	model	NOUN
ap-1344	148	24	on	on	ADP
ap-1344	148	25	a	a	DET
ap-1344	148	26	tri10	tri10	ADJ
ap-1344	148	27	acta	acta	PROPN
ap-1344	148	28	polytechnica	polytechnica	PROPN
ap-1344	148	29	vol	vol	NOUN
ap-1344	148	30	.	.	PUNCT
ap-1344	149	1	51	51	NUM
ap-1344	149	2	no	no	NOUN
ap-1344	149	3	.	.	PUNCT
ap-1344	150	1	1/2011	1/2011	NUM
ap-1344	150	2	angulated	angulate	VERB
ap-1344	150	3	kagomé	kagomé	NOUN
ap-1344	150	4	lattice	lattice	NOUN
ap-1344	150	5	.	.	PUNCT
ap-1344	151	1	we	we	PRON
ap-1344	151	2	adopted	adopt	VERB
ap-1344	151	3	the	the	DET
ap-1344	151	4	variational	variational	ADJ
ap-1344	151	5	mean	mean	ADJ
ap-1344	151	6	-	-	PUNCT
ap-1344	151	7	field	field	NOUN
ap-1344	151	8	like	like	ADP
ap-1344	151	9	treatment	treatment	NOUN
ap-1344	151	10	(	(	PUNCT
ap-1344	151	11	based	base	VERB
ap-1344	151	12	on	on	ADP
ap-1344	151	13	the	the	DET
ap-1344	151	14	gibbsbogoliubov	gibbsbogoliubov	NOUN
ap-1344	151	15	inequality	inequality	NOUN
ap-1344	151	16	)	)	PUNCT
ap-1344	151	17	to	to	PART
ap-1344	151	18	decouple	decouple	VERB
ap-1344	151	19	clusters	cluster	NOUN
ap-1344	151	20	in	in	ADP
ap-1344	151	21	effective	effective	ADJ
ap-1344	151	22	(	(	PUNCT
ap-1344	151	23	interconnected	interconnected	ADJ
ap-1344	151	24	)	)	PUNCT
ap-1344	151	25	fields	field	NOUN
ap-1344	151	26	of	of	ADP
ap-1344	151	27	two	two	NUM
ap-1344	151	28	types	type	NOUN
ap-1344	151	29	(	(	PUNCT
ap-1344	151	30	consisting	consist	VERB
ap-1344	151	31	of	of	ADP
ap-1344	151	32	heisenberg	heisenberg	PROPN
ap-1344	151	33	a	a	DET
ap-1344	151	34	trimers	trimer	NOUN
ap-1344	151	35	and	and	CCONJ
ap-1344	151	36	ising	ise	VERB
ap-1344	151	37	-	-	PUNCT
ap-1344	151	38	type	type	NOUN
ap-1344	151	39	b	b	NOUN
ap-1344	151	40	monomers	monomer	NOUN
ap-1344	151	41	)	)	PUNCT
ap-1344	151	42	.	.	PUNCT
ap-1344	152	1	each	each	PRON
ap-1344	152	2	of	of	ADP
ap-1344	152	3	these	these	DET
ap-1344	152	4	fields	field	NOUN
ap-1344	152	5	taken	take	VERB
ap-1344	152	6	separately	separately	ADV
ap-1344	152	7	describes	describe	VERB
ap-1344	152	8	not	not	PART
ap-1344	152	9	only	only	ADV
ap-1344	152	10	the	the	DET
ap-1344	152	11	corresponding	correspond	VERB
ap-1344	152	12	(	(	PUNCT
ap-1344	152	13	aor	aor	PROPN
ap-1344	152	14	btype	btype	PROPN
ap-1344	152	15	)	)	PUNCT
ap-1344	152	16	spins	spin	VERB
ap-1344	152	17	,	,	PUNCT
ap-1344	152	18	but	but	CCONJ
ap-1344	152	19	the	the	DET
ap-1344	152	20	system	system	NOUN
ap-1344	152	21	as	as	ADP
ap-1344	152	22	a	a	DET
ap-1344	152	23	whole	whole	NOUN
ap-1344	152	24	.	.	PUNCT
ap-1344	153	1	we	we	PRON
ap-1344	153	2	used	use	VERB
ap-1344	153	3	concurrence	concurrence	NOUN
ap-1344	153	4	as	as	ADP
ap-1344	153	5	a	a	DET
ap-1344	153	6	computable	computable	ADJ
ap-1344	153	7	measure	measure	NOUN
ap-1344	153	8	of	of	ADP
ap-1344	153	9	bipartite	bipartite	ADJ
ap-1344	153	10	entanglement	entanglement	NOUN
ap-1344	153	11	for	for	ADP
ap-1344	153	12	the	the	DET
ap-1344	153	13	trimeric	trimeric	ADJ
ap-1344	153	14	units	unit	NOUN
ap-1344	153	15	in	in	ADP
ap-1344	153	16	terms	term	NOUN
ap-1344	153	17	of	of	ADP
ap-1344	153	18	the	the	DET
ap-1344	153	19	isotropic	isotropic	NOUN
ap-1344	153	20	heisenberg	heisenberg	PROPN
ap-1344	153	21	model	model	NOUN
ap-1344	153	22	in	in	ADP
ap-1344	153	23	the	the	DET
ap-1344	153	24	effective	effective	ADJ
ap-1344	153	25	magnetic	magnetic	ADJ
ap-1344	153	26	field	field	NOUN
ap-1344	153	27	γa	γa	NOUN
ap-1344	153	28	.	.	PUNCT
ap-1344	154	1	using	use	VERB
ap-1344	154	2	the	the	DET
ap-1344	154	3	fact	fact	NOUN
ap-1344	154	4	that	that	SCONJ
ap-1344	154	5	“	"	PUNCT
ap-1344	154	6	a	a	DET
ap-1344	154	7	subdivisions	subdivision	NOUN
ap-1344	154	8	”	"	PUNCT
ap-1344	154	9	are	be	AUX
ap-1344	154	10	separable	separable	ADJ
ap-1344	154	11	,	,	PUNCT
ap-1344	154	12	we	we	PRON
ap-1344	154	13	studied	study	VERB
ap-1344	154	14	the	the	DET
ap-1344	154	15	entanglement	entanglement	NOUN
ap-1344	154	16	for	for	ADP
ap-1344	154	17	each	each	PRON
ap-1344	154	18	of	of	ADP
ap-1344	154	19	them	they	PRON
ap-1344	154	20	individually	individually	ADV
ap-1344	154	21	in	in	ADP
ap-1344	154	22	an	an	DET
ap-1344	154	23	effective	effective	ADJ
ap-1344	154	24	isingtype	isingtype	NOUN
ap-1344	154	25	field	field	NOUN
ap-1344	154	26	,	,	PUNCT
ap-1344	154	27	(	(	PUNCT
ap-1344	154	28	γb	γb	NOUN
ap-1344	154	29	)	)	PUNCT
ap-1344	154	30	.	.	PUNCT
ap-1344	155	1	the	the	DET
ap-1344	155	2	model	model	NOUN
ap-1344	155	3	exhibits	exhibit	VERB
ap-1344	155	4	quantum	quantum	ADJ
ap-1344	155	5	criticality	criticality	NOUN
ap-1344	155	6	,	,	PUNCT
ap-1344	155	7	which	which	PRON
ap-1344	155	8	can	can	AUX
ap-1344	155	9	be	be	AUX
ap-1344	155	10	identified	identify	VERB
ap-1344	155	11	and	and	CCONJ
ap-1344	155	12	characterized	characterize	VERB
ap-1344	155	13	by	by	ADP
ap-1344	155	14	studying	study	VERB
ap-1344	155	15	the	the	DET
ap-1344	155	16	behavior	behavior	NOUN
ap-1344	155	17	of	of	ADP
ap-1344	155	18	the	the	DET
ap-1344	155	19	magnetic	magnetic	ADJ
ap-1344	155	20	and	and	CCONJ
ap-1344	155	21	entanglement	entanglement	NOUN
ap-1344	155	22	properties	property	NOUN
ap-1344	155	23	with	with	ADP
ap-1344	155	24	respect	respect	NOUN
ap-1344	155	25	to	to	ADP
ap-1344	155	26	the	the	DET
ap-1344	155	27	interaction	interaction	NOUN
ap-1344	155	28	,	,	PUNCT
ap-1344	155	29	the	the	DET
ap-1344	155	30	magnetic	magnetic	ADJ
ap-1344	155	31	field	field	NOUN
ap-1344	155	32	and	and	CCONJ
ap-1344	155	33	the	the	DET
ap-1344	155	34	temperature	temperature	NOUN
ap-1344	155	35	that	that	PRON
ap-1344	155	36	control	control	VERB
ap-1344	155	37	the	the	DET
ap-1344	155	38	transition	transition	NOUN
ap-1344	155	39	.	.	PUNCT
ap-1344	156	1	it	it	PRON
ap-1344	156	2	turned	turn	VERB
ap-1344	156	3	out	out	ADP
ap-1344	156	4	that	that	PRON
ap-1344	156	5	entanglement	entanglement	NOUN
ap-1344	156	6	does	do	AUX
ap-1344	156	7	not	not	PART
ap-1344	156	8	vanish	vanish	VERB
ap-1344	156	9	in	in	ADP
ap-1344	156	10	the	the	DET
ap-1344	156	11	zero	zero	NUM
ap-1344	156	12	external	external	ADJ
ap-1344	156	13	field	field	NOUN
ap-1344	156	14	,	,	PUNCT
ap-1344	156	15	as	as	SCONJ
ap-1344	156	16	happens	happen	VERB
ap-1344	156	17	for	for	ADP
ap-1344	156	18	the	the	DET
ap-1344	156	19	common	common	ADJ
ap-1344	156	20	three	three	NUM
ap-1344	156	21	qubit	qubit	NOUN
ap-1344	156	22	(	(	PUNCT
ap-1344	156	23	isotropic	isotropic	NOUN
ap-1344	156	24	)	)	PUNCT
ap-1344	156	25	heisenberg	heisenberg	PROPN
ap-1344	156	26	model	model	NOUN
ap-1344	156	27	.	.	PUNCT
ap-1344	157	1	we	we	PRON
ap-1344	157	2	find	find	VERB
ap-1344	157	3	that	that	SCONJ
ap-1344	157	4	the	the	DET
ap-1344	157	5	temperature	temperature	NOUN
ap-1344	157	6	at	at	ADP
ap-1344	157	7	which	which	PRON
ap-1344	157	8	entanglement	entanglement	NOUN
ap-1344	157	9	becomes	become	VERB
ap-1344	157	10	zero	zero	NUM
ap-1344	157	11	coincides	coincide	VERB
ap-1344	157	12	with	with	ADP
ap-1344	157	13	the	the	DET
ap-1344	157	14	critical	critical	ADJ
ap-1344	157	15	temperature	temperature	NOUN
ap-1344	157	16	of	of	ADP
ap-1344	157	17	the	the	DET
ap-1344	157	18	second	second	ADJ
ap-1344	157	19	order	order	NOUN
ap-1344	157	20	phase	phase	NOUN
ap-1344	157	21	transition	transition	NOUN
ap-1344	157	22	at	at	ADP
ap-1344	157	23	which	which	PRON
ap-1344	157	24	spontaneous	spontaneous	ADJ
ap-1344	157	25	magnetization	magnetization	NOUN
ap-1344	157	26	disappears	disappear	VERB
ap-1344	157	27	.	.	PUNCT
ap-1344	158	1	in	in	ADP
ap-1344	158	2	addition	addition	NOUN
ap-1344	158	3	,	,	PUNCT
ap-1344	158	4	we	we	PRON
ap-1344	158	5	show	show	VERB
ap-1344	158	6	that	that	SCONJ
ap-1344	158	7	in	in	ADP
ap-1344	158	8	the	the	DET
ap-1344	158	9	antiferromagnetic	antiferromagnetic	ADJ
ap-1344	158	10	region	region	NOUN
ap-1344	158	11	(	(	PUNCT
ap-1344	158	12	the	the	DET
ap-1344	158	13	interactions	interaction	NOUN
ap-1344	158	14	between	between	ADP
ap-1344	158	15	trimeric	trimeric	PROPN
ap-1344	158	16	a	a	DET
ap-1344	158	17	sites	site	NOUN
ap-1344	158	18	are	be	AUX
ap-1344	158	19	exactly	exactly	ADV
ap-1344	158	20	of	of	ADP
ap-1344	158	21	this	this	DET
ap-1344	158	22	type	type	NOUN
ap-1344	158	23	)	)	PUNCT
ap-1344	158	24	the	the	DET
ap-1344	158	25	magnetic	magnetic	ADJ
ap-1344	158	26	susceptibility	susceptibility	NOUN
ap-1344	158	27	peaks	peak	NOUN
ap-1344	158	28	coincide	coincide	VERB
ap-1344	158	29	with	with	ADP
ap-1344	158	30	the	the	DET
ap-1344	158	31	boundary	boundary	ADJ
ap-1344	158	32	lines	line	NOUN
ap-1344	158	33	at	at	ADP
ap-1344	158	34	which	which	PRON
ap-1344	158	35	entanglement	entanglement	NOUN
ap-1344	158	36	vanishes	vanish	VERB
ap-1344	158	37	.	.	PUNCT
ap-1344	159	1	however	however	ADV
ap-1344	159	2	,	,	PUNCT
ap-1344	159	3	this	this	PRON
ap-1344	159	4	does	do	AUX
ap-1344	159	5	not	not	PART
ap-1344	159	6	take	take	VERB
ap-1344	159	7	place	place	NOUN
ap-1344	159	8	in	in	ADP
ap-1344	159	9	the	the	DET
ap-1344	159	10	ferromagnetic	ferromagnetic	ADJ
ap-1344	159	11	case	case	NOUN
ap-1344	159	12	.	.	PUNCT
ap-1344	160	1	therefore	therefore	ADV
ap-1344	160	2	,	,	PUNCT
ap-1344	160	3	one	one	PRON
ap-1344	160	4	can	can	AUX
ap-1344	160	5	detect	detect	VERB
ap-1344	160	6	a	a	DET
ap-1344	160	7	quite	quite	ADV
ap-1344	160	8	visible	visible	ADJ
ap-1344	160	9	correlation	correlation	NOUN
ap-1344	160	10	for	for	ADP
ap-1344	160	11	the	the	DET
ap-1344	160	12	line	line	NOUN
ap-1344	160	13	boundaries	boundary	NOUN
ap-1344	160	14	between	between	ADP
ap-1344	160	15	the	the	DET
ap-1344	160	16	phases	phase	NOUN
ap-1344	160	17	on	on	ADP
ap-1344	160	18	the	the	DET
ap-1344	160	19	density	density	NOUN
ap-1344	160	20	diagrams	diagram	NOUN
ap-1344	160	21	for	for	ADP
ap-1344	160	22	entanglement	entanglement	NOUN
ap-1344	160	23	and	and	CCONJ
ap-1344	160	24	magnetization	magnetization	NOUN
ap-1344	160	25	as	as	ADP
ap-1344	160	26	a	a	DET
ap-1344	160	27	signature	signature	NOUN
ap-1344	160	28	of	of	ADP
ap-1344	160	29	the	the	DET
ap-1344	160	30	corresponding	corresponding	ADJ
ap-1344	160	31	quantum	quantum	NOUN
ap-1344	160	32	phase	phase	NOUN
ap-1344	160	33	transition	transition	NOUN
ap-1344	160	34	.	.	PUNCT
ap-1344	161	1	note	note	VERB
ap-1344	161	2	that	that	SCONJ
ap-1344	161	3	the	the	DET
ap-1344	161	4	disordered	disordered	ADJ
ap-1344	161	5	spin	spin	NOUN
ap-1344	161	6	liquid	liquid	ADJ
ap-1344	161	7	state	state	NOUN
ap-1344	161	8	can	can	AUX
ap-1344	161	9	also	also	ADV
ap-1344	161	10	exist	exist	VERB
ap-1344	161	11	in	in	ADP
ap-1344	161	12	the	the	DET
ap-1344	161	13	ground	ground	NOUN
ap-1344	161	14	state	state	NOUN
ap-1344	161	15	of	of	ADP
ap-1344	161	16	the	the	DET
ap-1344	161	17	frustrated	frustrated	ADJ
ap-1344	161	18	spin	spin	NOUN
ap-1344	161	19	system	system	NOUN
ap-1344	161	20	,	,	PUNCT
ap-1344	161	21	on	on	ADP
ap-1344	161	22	the	the	DET
ap-1344	161	23	assumption	assumption	NOUN
ap-1344	161	24	that	that	SCONJ
ap-1344	161	25	there	there	PRON
ap-1344	161	26	is	be	VERB
ap-1344	161	27	a	a	DET
ap-1344	161	28	sufficiently	sufficiently	ADV
ap-1344	161	29	strong	strong	ADJ
ap-1344	161	30	antiferromagnetic	antiferromagnetic	ADJ
ap-1344	161	31	intra	intra	ADJ
ap-1344	161	32	-	-	ADJ
ap-1344	161	33	trimer	trimer	ADJ
ap-1344	161	34	interaction	interaction	NOUN
ap-1344	161	35	.	.	PUNCT
ap-1344	162	1	finally	finally	ADV
ap-1344	162	2	,	,	PUNCT
ap-1344	162	3	the	the	DET
ap-1344	162	4	magnetization	magnetization	NOUN
ap-1344	162	5	,	,	PUNCT
ap-1344	162	6	magnetic	magnetic	ADJ
ap-1344	162	7	susceptibilities	susceptibility	NOUN
ap-1344	162	8	and	and	CCONJ
ap-1344	162	9	(	(	PUNCT
ap-1344	162	10	quantum	quantum	NOUN
ap-1344	162	11	)	)	PUNCT
ap-1344	162	12	entanglement	entanglement	NOUN
ap-1344	162	13	features	feature	NOUN
ap-1344	162	14	can	can	AUX
ap-1344	162	15	be	be	AUX
ap-1344	162	16	exploited	exploit	VERB
ap-1344	162	17	to	to	PART
ap-1344	162	18	signal	signal	VERB
ap-1344	162	19	and	and	CCONJ
ap-1344	162	20	understand	understand	VERB
ap-1344	162	21	the	the	DET
ap-1344	162	22	quantum	quantum	ADJ
ap-1344	162	23	critical	critical	ADJ
ap-1344	162	24	points	point	NOUN
ap-1344	162	25	and	and	CCONJ
ap-1344	162	26	phase	phase	NOUN
ap-1344	162	27	transitions	transition	NOUN
ap-1344	162	28	.	.	PUNCT
ap-1344	163	1	acknowledgement	acknowledgement	NOUN
ap-1344	163	2	this	this	DET
ap-1344	163	3	work	work	NOUN
ap-1344	163	4	was	be	AUX
ap-1344	163	5	supported	support	VERB
ap-1344	163	6	by	by	ADP
ap-1344	163	7	the	the	DET
ap-1344	163	8	ps-1981	ps-1981	NOUN
ap-1344	163	9	,	,	PUNCT
ap-1344	163	10	ps2033	ps2033	ADJ
ap-1344	163	11	ansef	ansef	NOUN
ap-1344	163	12	and	and	CCONJ
ap-1344	163	13	ecsp-09	ecsp-09	PROPN
ap-1344	163	14	-	-	ADJ
ap-1344	163	15	08	08	NUM
ap-1344	163	16	-	-	PUNCT
ap-1344	163	17	sasp	sasp	NOUN
ap-1344	163	18	nfsat	nfsat	VERB
ap-1344	163	19	research	research	NOUN
ap-1344	163	20	grants	grant	NOUN
ap-1344	163	21	.	.	PUNCT
ap-1344	164	1	references	reference	NOUN
ap-1344	164	2	[	[	X
ap-1344	164	3	1	1	NUM
ap-1344	164	4	]	]	X
ap-1344	164	5	diep	diep	PROPN
ap-1344	164	6	,	,	PUNCT
ap-1344	164	7	h.	h.	PROPN
ap-1344	164	8	t.	t.	PROPN
ap-1344	164	9	(	(	PUNCT
ap-1344	164	10	ed	ed	NOUN
ap-1344	164	11	.	.	PROPN
ap-1344	164	12	):	):	PUNCT
ap-1344	164	13	frustrated	frustrated	ADJ
ap-1344	164	14	spin	spin	NOUN
ap-1344	164	15	sysytems	sysytem	NOUN
ap-1344	164	16	.	.	PUNCT
ap-1344	165	1	singapore	singapore	PROPN
ap-1344	165	2	:	:	PUNCT
ap-1344	165	3	world	world	NOUN
ap-1344	165	4	scientific	scientific	ADJ
ap-1344	165	5	,	,	PUNCT
ap-1344	165	6	2004	2004	NUM
ap-1344	165	7	;	;	PUNCT
ap-1344	165	8	gardner	gardner	NOUN
ap-1344	165	9	,	,	PUNCT
ap-1344	165	10	j.	j.	PROPN
ap-1344	165	11	s.	s.	PROPN
ap-1344	165	12	,	,	PUNCT
ap-1344	165	13	et	et	PROPN
ap-1344	165	14	al	al	PROPN
ap-1344	165	15	.	.	PROPN
ap-1344	165	16	:	:	PUNCT
ap-1344	166	1	magnetic	magnetic	ADJ
ap-1344	166	2	pyrochlore	pyrochlore	ADJ
ap-1344	166	3	oxides	oxide	NOUN
ap-1344	166	4	.	.	PUNCT
ap-1344	167	1	rev	rev	PROPN
ap-1344	167	2	.	.	PROPN
ap-1344	168	1	mod	mod	PROPN
ap-1344	168	2	.	.	PUNCT
ap-1344	169	1	phys	phy	NOUN
ap-1344	169	2	.	.	PUNCT
ap-1344	169	3	,	,	PUNCT
ap-1344	169	4	82(1	82(1	NOUN
ap-1344	169	5	)	)	PUNCT
ap-1344	169	6	,	,	PUNCT
ap-1344	169	7	2010	2010	NUM
ap-1344	169	8	,	,	PUNCT
ap-1344	169	9	p.	p.	NOUN
ap-1344	169	10	53–107	53–107	NUM
ap-1344	169	11	;	;	PUNCT
ap-1344	169	12	zhitomirsky	zhitomirsky	PROPN
ap-1344	169	13	,	,	PUNCT
ap-1344	169	14	m.	m.	PROPN
ap-1344	169	15	e.	e.	PROPN
ap-1344	169	16	,	,	PUNCT
ap-1344	169	17	et	et	PROPN
ap-1344	169	18	al	al	PROPN
ap-1344	169	19	.	.	PROPN
ap-1344	169	20	:	:	PUNCT
ap-1344	170	1	field	field	NOUN
ap-1344	170	2	induced	induce	VERB
ap-1344	170	3	ordering	ordering	NOUN
ap-1344	170	4	in	in	ADP
ap-1344	170	5	highly	highly	ADV
ap-1344	170	6	frustrated	frustrated	ADJ
ap-1344	170	7	antiferromagnets	antiferromagnet	NOUN
ap-1344	170	8	.	.	PUNCT
ap-1344	171	1	phys	phy	NOUN
ap-1344	171	2	.	.	PUNCT
ap-1344	172	1	rev	rev	PROPN
ap-1344	172	2	.	.	PROPN
ap-1344	172	3	lett	lett	PROPN
ap-1344	172	4	.	.	PROPN
ap-1344	172	5	,	,	PUNCT
ap-1344	172	6	85(15	85(15	NUM
ap-1344	172	7	)	)	PUNCT
ap-1344	172	8	,	,	PUNCT
ap-1344	172	9	2000	2000	NUM
ap-1344	172	10	,	,	PUNCT
ap-1344	172	11	p.	p.	NOUN
ap-1344	172	12	3	3	NUM
ap-1344	172	13	269–3	269–3	NUM
ap-1344	172	14	272	272	NUM
ap-1344	172	15	.	.	PUNCT
ap-1344	173	1	[	[	X
ap-1344	173	2	2	2	NUM
ap-1344	173	3	]	]	X
ap-1344	173	4	maruti	maruti	PROPN
ap-1344	173	5	,	,	PUNCT
ap-1344	173	6	s.	s.	PROPN
ap-1344	173	7	,	,	PUNCT
ap-1344	173	8	haar	haar	PROPN
ap-1344	173	9	ter	ter	PROPN
ap-1344	173	10	,	,	PUNCT
ap-1344	173	11	l.	l.	PROPN
ap-1344	173	12	w.	w.	PROPN
ap-1344	173	13	:	:	PUNCT
ap-1344	173	14	magnetic	magnetic	ADJ
ap-1344	173	15	properties	property	NOUN
ap-1344	173	16	of	of	ADP
ap-1344	173	17	the	the	DET
ap-1344	173	18	two	two	NUM
ap-1344	173	19	-	-	PUNCT
ap-1344	173	20	dimensional	dimensional	ADJ
ap-1344	173	21	triangles	triangle	NOUN
ap-1344	173	22	-	-	PUNCT
ap-1344	173	23	in	in	ADP
ap-1344	173	24	-	-	PUNCT
ap-1344	173	25	triangles	triangle	NOUN
ap-1344	173	26	kagomé	kagomé	NOUN
ap-1344	173	27	lattice	lattice	PROPN
ap-1344	173	28	cu9x2(cpa)6	cu9x2(cpa)6	NOUN
ap-1344	173	29	(	(	PUNCT
ap-1344	173	30	x	x	X
ap-1344	173	31	=	=	SYM
ap-1344	173	32	f	f	PROPN
ap-1344	173	33	,	,	PUNCT
ap-1344	173	34	cl	cl	NOUN
ap-1344	173	35	,	,	PUNCT
ap-1344	173	36	br	br	NOUN
ap-1344	173	37	)	)	PUNCT
ap-1344	173	38	.	.	PUNCT
ap-1344	174	1	j.	j.	PROPN
ap-1344	174	2	appl	appl	PROPN
ap-1344	174	3	.	.	PUNCT
ap-1344	175	1	phys	phy	NOUN
ap-1344	175	2	.	.	PUNCT
ap-1344	175	3	,	,	PUNCT
ap-1344	175	4	75(10	75(10	NUM
ap-1344	175	5	)	)	PUNCT
ap-1344	175	6	,	,	PUNCT
ap-1344	175	7	1994	1994	NUM
ap-1344	175	8	,	,	PUNCT
ap-1344	175	9	p.	p.	NOUN
ap-1344	175	10	5	5	NUM
ap-1344	175	11	949–5	949–5	NUM
ap-1344	175	12	952	952	NUM
ap-1344	175	13	;	;	PUNCT
ap-1344	175	14	ateca	ateca	NOUN
ap-1344	175	15	,	,	PUNCT
ap-1344	175	16	s.	s.	PROPN
ap-1344	175	17	,	,	PUNCT
ap-1344	175	18	et	et	PROPN
ap-1344	175	19	al	al	PROPN
ap-1344	175	20	.	.	PUNCT
ap-1344	175	21	:	:	PUNCT
ap-1344	176	1	the	the	DET
ap-1344	176	2	two	two	NUM
ap-1344	176	3	-	-	PUNCT
ap-1344	176	4	dimensional	dimensional	ADJ
ap-1344	176	5	triangles	triangle	NOUN
ap-1344	176	6	-	-	PUNCT
ap-1344	176	7	in	in	ADP
ap-1344	176	8	-	-	PUNCT
ap-1344	176	9	triangles	triangle	NOUN
ap-1344	176	10	kagomé	kagomé	NOUN
ap-1344	176	11	antiferromagnet	antiferromagnet	NOUN
ap-1344	176	12	cu9x2(cpa)6	cu9x2(cpa)6	NOUN
ap-1344	176	13	:	:	PUNCT
ap-1344	176	14	a	a	DET
ap-1344	176	15	topological	topological	ADJ
ap-1344	176	16	spin	spin	NOUN
ap-1344	176	17	-	-	PUNCT
ap-1344	176	18	glass	glass	NOUN
ap-1344	176	19	?	?	PUNCT
ap-1344	176	20	.	.	PUNCT
ap-1344	177	1	j.	j.	PROPN
ap-1344	177	2	magn	magn	PROPN
ap-1344	177	3	.	.	PUNCT
ap-1344	178	1	magn	magn	PROPN
ap-1344	178	2	.	.	PUNCT
ap-1344	179	1	mater	mater	PROPN
ap-1344	179	2	.	.	PROPN
ap-1344	179	3	,	,	PUNCT
ap-1344	179	4	147(3	147(3	NUM
ap-1344	179	5	)	)	PUNCT
ap-1344	179	6	,	,	PUNCT
ap-1344	179	7	1995	1995	NUM
ap-1344	179	8	,	,	PUNCT
ap-1344	179	9	p.	p.	NOUN
ap-1344	179	10	398–400	398–400	NUM
ap-1344	179	11	;	;	PUNCT
ap-1344	180	1	ramirez	ramirez	PROPN
ap-1344	180	2	,	,	PUNCT
ap-1344	180	3	a.	a.	NOUN
ap-1344	180	4	p.	p.	NOUN
ap-1344	180	5	:	:	PUNCT
ap-1344	180	6	strongly	strongly	ADV
ap-1344	180	7	geometrically	geometrically	ADV
ap-1344	180	8	frustrated	frustrate	VERB
ap-1344	180	9	magnets	magnet	NOUN
ap-1344	180	10	.	.	PUNCT
ap-1344	181	1	annu	annu	NOUN
ap-1344	181	2	.	.	PUNCT
ap-1344	182	1	rev	rev	PROPN
ap-1344	182	2	.	.	PROPN
ap-1344	182	3	mater	mater	PROPN
ap-1344	182	4	.	.	PUNCT
ap-1344	183	1	sci	sci	PROPN
ap-1344	183	2	.	.	PROPN
ap-1344	183	3	,	,	PUNCT
ap-1344	183	4	24	24	NUM
ap-1344	183	5	,	,	PUNCT
ap-1344	183	6	1994	1994	NUM
ap-1344	183	7	,	,	PUNCT
ap-1344	183	8	p.	p.	NOUN
ap-1344	183	9	453–480	453–480	NUM
ap-1344	183	10	.	.	PUNCT
ap-1344	184	1	[	[	X
ap-1344	184	2	3	3	NUM
ap-1344	184	3	]	]	X
ap-1344	184	4	strečka	strečka	PROPN
ap-1344	184	5	,	,	PUNCT
ap-1344	184	6	j.	j.	PROPN
ap-1344	184	7	,	,	PUNCT
ap-1344	184	8	et	et	PROPN
ap-1344	184	9	al	al	PROPN
ap-1344	184	10	.	.	PUNCT
ap-1344	184	11	:	:	PUNCT
ap-1344	184	12	exact	exact	ADJ
ap-1344	184	13	solution	solution	NOUN
ap-1344	184	14	of	of	ADP
ap-1344	184	15	the	the	DET
ap-1344	184	16	geometrically	geometrically	ADV
ap-1344	184	17	frustrated	frustrated	ADJ
ap-1344	184	18	spin-1/2	spin-1/2	PROPN
ap-1344	184	19	ising	ising	PROPN
ap-1344	184	20	-	-	PUNCT
ap-1344	184	21	heisenberg	heisenberg	PROPN
ap-1344	184	22	model	model	NOUN
ap-1344	184	23	on	on	ADP
ap-1344	184	24	the	the	DET
ap-1344	184	25	triangulated	triangulate	VERB
ap-1344	184	26	kagome	kagome	NOUN
ap-1344	184	27	(	(	PUNCT
ap-1344	184	28	trianglesin	trianglesin	NOUN
ap-1344	184	29	-	-	PUNCT
ap-1344	184	30	triangles	triangle	NOUN
ap-1344	184	31	)	)	PUNCT
ap-1344	184	32	lattice	lattice	NOUN
ap-1344	184	33	.	.	PUNCT
ap-1344	185	1	phys	phy	NOUN
ap-1344	185	2	.	.	PUNCT
ap-1344	186	1	rev	rev	PROPN
ap-1344	186	2	.	.	PROPN
ap-1344	187	1	b	b	X
ap-1344	187	2	,	,	PUNCT
ap-1344	187	3	78(2	78(2	NOUN
ap-1344	187	4	)	)	PUNCT
ap-1344	187	5	,	,	PUNCT
ap-1344	187	6	2008	2008	NUM
ap-1344	187	7	,	,	PUNCT
ap-1344	187	8	024427	024427	NUM
ap-1344	187	9	;	;	PUNCT
ap-1344	187	10	ryo	ryo	PROPN
ap-1344	187	11	,	,	PUNCT
ap-1344	187	12	n.	n.	PROPN
ap-1344	187	13	,	,	PUNCT
ap-1344	187	14	et	et	PROPN
ap-1344	187	15	al	al	PROPN
ap-1344	187	16	.	.	PUNCT
ap-1344	187	17	:	:	PUNCT
ap-1344	188	1	a	a	DET
ap-1344	188	2	theoretical	theoretical	ADJ
ap-1344	188	3	study	study	NOUN
ap-1344	188	4	of	of	ADP
ap-1344	188	5	magnons	magnon	NOUN
ap-1344	188	6	for	for	ADP
ap-1344	188	7	heisenberg	heisenberg	PROPN
ap-1344	188	8	model	model	NOUN
ap-1344	188	9	in	in	ADP
ap-1344	188	10	triangulated	triangulate	VERB
ap-1344	188	11	kagomé	kagomé	NOUN
ap-1344	188	12	lattice	lattice	NOUN
ap-1344	188	13	-	-	PUNCT
ap-1344	188	14	characteristic	characteristic	ADJ
ap-1344	188	15	dispersionless	dispersionless	NOUN
ap-1344	188	16	modes	mode	NOUN
ap-1344	188	17	.	.	PUNCT
ap-1344	189	1	j.	j.	PROPN
ap-1344	189	2	phys	phys	PROPN
ap-1344	189	3	.	.	PUNCT
ap-1344	190	1	soc	soc	PROPN
ap-1344	190	2	.	.	PUNCT
ap-1344	191	1	jpn	jpn	PROPN
ap-1344	191	2	.	.	PROPN
ap-1344	191	3	,	,	PUNCT
ap-1344	191	4	66	66	NUM
ap-1344	191	5	,	,	PUNCT
ap-1344	191	6	1997	1997	NUM
ap-1344	191	7	,	,	PUNCT
ap-1344	191	8	p.	p.	NOUN
ap-1344	191	9	3	3	NUM
ap-1344	192	1	687–3	687–3	NUM
ap-1344	192	2	688	688	NUM
ap-1344	192	3	.	.	PUNCT
ap-1344	193	1	[	[	X
ap-1344	193	2	4	4	NUM
ap-1344	193	3	]	]	X
ap-1344	193	4	strečka	strečka	PROPN
ap-1344	193	5	,	,	PUNCT
ap-1344	193	6	j.	j.	PROPN
ap-1344	193	7	:	:	PUNCT
ap-1344	193	8	magnetic	magnetic	ADJ
ap-1344	193	9	properties	property	NOUN
ap-1344	193	10	of	of	ADP
ap-1344	193	11	the	the	DET
ap-1344	193	12	geometrically	geometrically	ADV
ap-1344	193	13	frustrated	frustrated	ADJ
ap-1344	193	14	spin-1/2	spin-1/2	PROPN
ap-1344	193	15	heisenberg	heisenberg	PROPN
ap-1344	193	16	model	model	NOUN
ap-1344	193	17	on	on	ADP
ap-1344	193	18	the	the	DET
ap-1344	193	19	triangulated	triangulate	VERB
ap-1344	193	20	kagomé	kagomé	NOUN
ap-1344	193	21	lattice	lattice	PROPN
ap-1344	193	22	.	.	PUNCT
ap-1344	194	1	j.	j.	PROPN
ap-1344	194	2	magn	magn	PROPN
ap-1344	194	3	.	.	PUNCT
ap-1344	195	1	magn	magn	PROPN
ap-1344	195	2	.	.	PUNCT
ap-1344	196	1	mater	mater	PROPN
ap-1344	196	2	.	.	PROPN
ap-1344	196	3	,	,	PUNCT
ap-1344	196	4	316(2	316(2	NUM
ap-1344	196	5	)	)	PUNCT
ap-1344	196	6	,	,	PUNCT
ap-1344	196	7	2007	2007	NUM
ap-1344	196	8	,	,	PUNCT
ap-1344	196	9	p.	p.	NOUN
ap-1344	196	10	e346	e346	NUM
ap-1344	196	11	–	–	PUNCT
ap-1344	196	12	e348	e348	PROPN
ap-1344	196	13	.	.	PUNCT
ap-1344	197	1	[	[	X
ap-1344	197	2	5	5	NUM
ap-1344	197	3	]	]	SYM
ap-1344	197	4	yao	yao	NOUN
ap-1344	197	5	,	,	PUNCT
ap-1344	197	6	d.-x	d.-x	PROPN
ap-1344	197	7	.	.	PROPN
ap-1344	197	8	,	,	PUNCT
ap-1344	197	9	et	et	PROPN
ap-1344	197	10	al	al	PROPN
ap-1344	197	11	.	.	PUNCT
ap-1344	197	12	:	:	PUNCT
ap-1344	198	1	xxz	xxz	NOUN
ap-1344	198	2	and	and	CCONJ
ap-1344	198	3	ising	ise	VERB
ap-1344	198	4	spins	spin	VERB
ap-1344	198	5	on	on	ADP
ap-1344	198	6	the	the	DET
ap-1344	198	7	triangular	triangular	NOUN
ap-1344	198	8	kagome	kagome	PROPN
ap-1344	198	9	lattice	lattice	NOUN
ap-1344	198	10	.	.	PUNCT
ap-1344	199	1	phys	phy	NOUN
ap-1344	199	2	.	.	PUNCT
ap-1344	200	1	rev	rev	PROPN
ap-1344	200	2	.	.	PROPN
ap-1344	201	1	b	b	X
ap-1344	201	2	,	,	PUNCT
ap-1344	201	3	78(2	78(2	NOUN
ap-1344	201	4	)	)	PUNCT
ap-1344	201	5	,	,	PUNCT
ap-1344	201	6	2008	2008	NUM
ap-1344	201	7	,	,	PUNCT
ap-1344	201	8	024428	024428	NUM
ap-1344	201	9	.	.	PUNCT
ap-1344	202	1	[	[	X
ap-1344	202	2	6	6	NUM
ap-1344	202	3	]	]	SYM
ap-1344	202	4	amico	amico	PROPN
ap-1344	202	5	,	,	PUNCT
ap-1344	202	6	l.	l.	PROPN
ap-1344	202	7	,	,	PUNCT
ap-1344	202	8	et	et	PROPN
ap-1344	202	9	al	al	PROPN
ap-1344	202	10	.	.	PROPN
ap-1344	202	11	:	:	PUNCT
ap-1344	202	12	entanglement	entanglement	NOUN
ap-1344	202	13	in	in	ADP
ap-1344	202	14	manybody	manybody	NOUN
ap-1344	202	15	systems	system	NOUN
ap-1344	202	16	.	.	PUNCT
ap-1344	202	17	rev	rev	PROPN
ap-1344	202	18	.	.	PROPN
ap-1344	203	1	mod	mod	PROPN
ap-1344	203	2	.	.	PUNCT
ap-1344	204	1	phys	phy	NOUN
ap-1344	204	2	.	.	PUNCT
ap-1344	204	3	,	,	PUNCT
ap-1344	204	4	80(2	80(2	NUM
ap-1344	204	5	)	)	PUNCT
ap-1344	204	6	,	,	PUNCT
ap-1344	204	7	2008	2008	NUM
ap-1344	204	8	,	,	PUNCT
ap-1344	204	9	p.	p.	NOUN
ap-1344	204	10	517–576	517–576	NUM
ap-1344	204	11	;	;	PUNCT
ap-1344	204	12	amico	amico	PROPN
ap-1344	204	13	,	,	PUNCT
ap-1344	204	14	l.	l.	PROPN
ap-1344	204	15	,	,	PUNCT
ap-1344	204	16	fazio	fazio	PROPN
ap-1344	204	17	,	,	PUNCT
ap-1344	204	18	r.	r.	PROPN
ap-1344	204	19	:	:	PUNCT
ap-1344	204	20	entanglement	entanglement	NOUN
ap-1344	204	21	and	and	CCONJ
ap-1344	204	22	magnetic	magnetic	ADJ
ap-1344	204	23	order	order	NOUN
ap-1344	204	24	.	.	PUNCT
ap-1344	205	1	j.	j.	PROPN
ap-1344	205	2	phys	phys	PROPN
ap-1344	205	3	.	.	PUNCT
ap-1344	206	1	a	a	DET
ap-1344	206	2	:	:	PUNCT
ap-1344	206	3	math	math	NOUN
ap-1344	206	4	.	.	PUNCT
ap-1344	207	1	theor	theor	PROPN
ap-1344	207	2	.	.	PROPN
ap-1344	207	3	,	,	PUNCT
ap-1344	207	4	42(50	42(50	NOUN
ap-1344	207	5	)	)	PUNCT
ap-1344	207	6	,	,	PUNCT
ap-1344	207	7	2009	2009	NUM
ap-1344	207	8	,	,	PUNCT
ap-1344	207	9	504001	504001	NUM
ap-1344	207	10	.	.	PUNCT
ap-1344	208	1	[	[	X
ap-1344	208	2	7	7	NUM
ap-1344	208	3	]	]	X
ap-1344	208	4	larsson	larsson	PROPN
ap-1344	208	5	,	,	PUNCT
ap-1344	208	6	d.	d.	PROPN
ap-1344	208	7	,	,	PUNCT
ap-1344	208	8	johannesson	johannesson	PROPN
ap-1344	208	9	,	,	PUNCT
ap-1344	208	10	h.	h.	NOUN
ap-1344	208	11	:	:	PUNCT
ap-1344	208	12	entanglement	entanglement	NOUN
ap-1344	208	13	scaling	scaling	NOUN
ap-1344	208	14	in	in	ADP
ap-1344	208	15	the	the	DET
ap-1344	208	16	one	one	NUM
ap-1344	208	17	-	-	PUNCT
ap-1344	208	18	dimensional	dimensional	ADJ
ap-1344	208	19	hubbard	hubbard	NOUN
ap-1344	208	20	model	model	NOUN
ap-1344	208	21	at	at	ADP
ap-1344	208	22	criticality	criticality	NOUN
ap-1344	208	23	.	.	PUNCT
ap-1344	209	1	phys	phy	NOUN
ap-1344	209	2	.	.	PUNCT
ap-1344	210	1	rev	rev	PROPN
ap-1344	210	2	.	.	PROPN
ap-1344	210	3	lett	lett	PROPN
ap-1344	210	4	.	.	PROPN
ap-1344	210	5	,	,	PUNCT
ap-1344	210	6	95(19	95(19	NUM
ap-1344	210	7	)	)	PUNCT
ap-1344	210	8	,	,	PUNCT
ap-1344	210	9	2005	2005	NUM
ap-1344	210	10	,	,	PUNCT
ap-1344	210	11	196406	196406	NUM
ap-1344	210	12	;	;	PUNCT
ap-1344	210	13	yang	yang	PROPN
ap-1344	210	14	,	,	PUNCT
ap-1344	210	15	c.	c.	PROPN
ap-1344	210	16	,	,	PUNCT
ap-1344	210	17	et	et	PROPN
ap-1344	210	18	al	al	PROPN
ap-1344	210	19	.	.	PUNCT
ap-1344	210	20	:	:	PUNCT
ap-1344	210	21	phase	phase	NOUN
ap-1344	210	22	transitions	transition	NOUN
ap-1344	210	23	and	and	CCONJ
ap-1344	210	24	exact	exact	ADJ
ap-1344	210	25	ground	ground	NOUN
ap-1344	210	26	-	-	PUNCT
ap-1344	210	27	state	state	NOUN
ap-1344	210	28	properties	property	NOUN
ap-1344	210	29	of	of	ADP
ap-1344	210	30	the	the	DET
ap-1344	210	31	onedimensional	onedimensional	PROPN
ap-1344	210	32	hubbard	hubbard	PROPN
ap-1344	210	33	model	model	NOUN
ap-1344	210	34	in	in	ADP
ap-1344	210	35	a	a	DET
ap-1344	210	36	magnetic	magnetic	ADJ
ap-1344	210	37	field	field	NOUN
ap-1344	210	38	.	.	PUNCT
ap-1344	211	1	j.	j.	PROPN
ap-1344	211	2	phys	phys	PROPN
ap-1344	211	3	.	.	PUNCT
ap-1344	211	4	:	:	PUNCT
ap-1344	212	1	condens	conden	NOUN
ap-1344	212	2	.	.	PUNCT
ap-1344	213	1	matter	matter	NOUN
ap-1344	213	2	,	,	PUNCT
ap-1344	213	3	12(33	12(33	NUM
ap-1344	213	4	)	)	PUNCT
ap-1344	213	5	,	,	PUNCT
ap-1344	213	6	7433	7433	NUM
ap-1344	213	7	;	;	PUNCT
ap-1344	213	8	alba	alba	PROPN
ap-1344	213	9	,	,	PUNCT
ap-1344	213	10	v.	v.	ADV
ap-1344	213	11	,	,	PUNCT
ap-1344	213	12	et	et	PROPN
ap-1344	213	13	al	al	PROPN
ap-1344	213	14	.	.	PROPN
ap-1344	213	15	:	:	PUNCT
ap-1344	214	1	entanglement	entanglement	NOUN
ap-1344	214	2	entropy	entropy	NOUN
ap-1344	214	3	of	of	ADP
ap-1344	214	4	two	two	NUM
ap-1344	214	5	disjoint	disjoint	ADJ
ap-1344	214	6	blocks	block	NOUN
ap-1344	214	7	in	in	ADP
ap-1344	214	8	critical	critical	ADJ
ap-1344	214	9	ising	ise	VERB
ap-1344	214	10	models	model	NOUN
ap-1344	214	11	.	.	PUNCT
ap-1344	215	1	phys	phy	NOUN
ap-1344	215	2	.	.	PUNCT
ap-1344	216	1	rev	rev	PROPN
ap-1344	216	2	.	.	PROPN
ap-1344	217	1	b	b	X
ap-1344	217	2	,	,	PUNCT
ap-1344	217	3	81(6	81(6	NUM
ap-1344	217	4	)	)	PUNCT
ap-1344	217	5	,	,	PUNCT
ap-1344	217	6	2010	2010	NUM
ap-1344	217	7	,	,	PUNCT
ap-1344	217	8	060411(r	060411(r	NOUN
ap-1344	217	9	)	)	PUNCT
ap-1344	217	10	.	.	PUNCT
ap-1344	218	1	[	[	X
ap-1344	218	2	8	8	NUM
ap-1344	218	3	]	]	X
ap-1344	218	4	gong	gong	NOUN
ap-1344	218	5	,	,	PUNCT
ap-1344	218	6	s.-s	s.-	NOUN
ap-1344	218	7	.	.	PUNCT
ap-1344	218	8	,	,	PUNCT
ap-1344	218	9	gang	gang	PROPN
ap-1344	218	10	,	,	PUNCT
ap-1344	218	11	s.	s.	PROPN
ap-1344	218	12	:	:	PUNCT
ap-1344	218	13	thermal	thermal	ADJ
ap-1344	218	14	entanglement	entanglement	NOUN
ap-1344	218	15	in	in	ADP
ap-1344	218	16	one	one	NUM
ap-1344	218	17	-	-	PUNCT
ap-1344	218	18	dimensional	dimensional	ADJ
ap-1344	218	19	heisenberg	heisenberg	PROPN
ap-1344	218	20	quantum	quantum	NOUN
ap-1344	218	21	spin	spin	NOUN
ap-1344	218	22	chains	chain	NOUN
ap-1344	218	23	under	under	ADP
ap-1344	218	24	magnetic	magnetic	ADJ
ap-1344	218	25	fields	field	NOUN
ap-1344	218	26	.	.	PUNCT
ap-1344	219	1	phys	phy	NOUN
ap-1344	219	2	.	.	PUNCT
ap-1344	220	1	rev	rev	PROPN
ap-1344	220	2	.	.	PROPN
ap-1344	221	1	a	a	DET
ap-1344	221	2	,	,	PUNCT
ap-1344	221	3	80(1	80(1	NUM
ap-1344	221	4	)	)	PUNCT
ap-1344	221	5	,	,	PUNCT
ap-1344	221	6	2009	2009	NUM
ap-1344	221	7	,	,	PUNCT
ap-1344	221	8	012323	012323	NUM
ap-1344	222	1	;	;	PUNCT
ap-1344	222	2	asoudeh	asoudeh	ADV
ap-1344	222	3	,	,	PUNCT
ap-1344	222	4	m.	m.	NOUN
ap-1344	222	5	,	,	PUNCT
ap-1344	222	6	karimipour	karimipour	PROPN
ap-1344	222	7	,	,	PUNCT
ap-1344	222	8	v.	v.	ADJ
ap-1344	222	9	:	:	PUNCT
ap-1344	222	10	thermal	thermal	ADJ
ap-1344	222	11	entanglement	entanglement	NOUN
ap-1344	222	12	of	of	ADP
ap-1344	222	13	spins	spin	NOUN
ap-1344	222	14	in	in	ADP
ap-1344	222	15	mean	mean	ADJ
ap-1344	222	16	-	-	PUNCT
ap-1344	222	17	field	field	NOUN
ap-1344	222	18	clusters	cluster	NOUN
ap-1344	222	19	.	.	PUNCT
ap-1344	223	1	phys	phy	NOUN
ap-1344	223	2	.	.	PUNCT
ap-1344	224	1	rev	rev	PROPN
ap-1344	224	2	.	.	PUNCT
ap-1344	225	1	a	a	DET
ap-1344	225	2	73(6	73(6	NOUN
ap-1344	225	3	)	)	PUNCT
ap-1344	225	4	,	,	PUNCT
ap-1344	225	5	2006	2006	NUM
ap-1344	225	6	,	,	PUNCT
ap-1344	225	7	062109	062109	NUM
ap-1344	225	8	;	;	PUNCT
ap-1344	225	9	canosa	canosa	PROPN
ap-1344	225	10	,	,	PUNCT
ap-1344	225	11	n.	n.	NOUN
ap-1344	225	12	,	,	PUNCT
ap-1344	225	13	et	et	PROPN
ap-1344	225	14	al	al	PROPN
ap-1344	225	15	.	.	PUNCT
ap-1344	225	16	:	:	PUNCT
ap-1344	226	1	description	description	NOUN
ap-1344	226	2	of	of	ADP
ap-1344	226	3	thermal	thermal	ADJ
ap-1344	226	4	entanglement	entanglement	NOUN
ap-1344	226	5	with	with	ADP
ap-1344	226	6	the	the	DET
ap-1344	226	7	static	static	ADJ
ap-1344	226	8	path	path	NOUN
ap-1344	226	9	plus	plus	CCONJ
ap-1344	226	10	11	11	NUM
ap-1344	226	11	acta	acta	PROPN
ap-1344	226	12	polytechnica	polytechnica	PROPN
ap-1344	226	13	vol	vol	NOUN
ap-1344	226	14	.	.	PUNCT
ap-1344	227	1	51	51	NUM
ap-1344	227	2	no	no	NOUN
ap-1344	227	3	.	.	PUNCT
ap-1344	228	1	1/2011	1/2011	NUM
ap-1344	228	2	random	random	ADJ
ap-1344	228	3	-	-	PUNCT
ap-1344	228	4	phase	phase	NOUN
ap-1344	228	5	approximation	approximation	NOUN
ap-1344	228	6	.	.	PUNCT
ap-1344	229	1	phys	phy	NOUN
ap-1344	229	2	.	.	PUNCT
ap-1344	230	1	rev	rev	PROPN
ap-1344	230	2	.	.	PROPN
ap-1344	231	1	a	a	DET
ap-1344	231	2	,	,	PUNCT
ap-1344	231	3	76(2	76(2	NUM
ap-1344	231	4	)	)	PUNCT
ap-1344	231	5	,	,	PUNCT
ap-1344	231	6	2007	2007	NUM
ap-1344	231	7	,	,	PUNCT
ap-1344	231	8	022310	022310	NUM
ap-1344	231	9	.	.	PUNCT
ap-1344	232	1	[	[	X
ap-1344	232	2	9	9	NUM
ap-1344	232	3	]	]	X
ap-1344	232	4	vedral	vedral	ADJ
ap-1344	232	5	,	,	PUNCT
ap-1344	232	6	v.	v.	ADJ
ap-1344	232	7	:	:	PUNCT
ap-1344	232	8	mean	mean	ADJ
ap-1344	232	9	-	-	PUNCT
ap-1344	232	10	field	field	NOUN
ap-1344	232	11	approximations	approximation	NOUN
ap-1344	232	12	and	and	CCONJ
ap-1344	232	13	multipartite	multipartite	ADJ
ap-1344	232	14	thermal	thermal	ADJ
ap-1344	232	15	correlations	correlation	NOUN
ap-1344	232	16	.	.	PUNCT
ap-1344	233	1	new	new	ADJ
ap-1344	233	2	j.	j.	PROPN
ap-1344	233	3	phys	phys	PROPN
ap-1344	233	4	.	.	PUNCT
ap-1344	233	5	,	,	PUNCT
ap-1344	233	6	6(1	6(1	NUM
ap-1344	233	7	)	)	PUNCT
ap-1344	233	8	,	,	PUNCT
ap-1344	233	9	2004	2004	NUM
ap-1344	233	10	,	,	PUNCT
ap-1344	233	11	22	22	NUM
ap-1344	233	12	.	.	PUNCT
ap-1344	234	1	[	[	X
ap-1344	234	2	10	10	NUM
ap-1344	234	3	]	]	X
ap-1344	234	4	wootters	wootter	NOUN
ap-1344	234	5	,	,	PUNCT
ap-1344	234	6	w.	w.	PROPN
ap-1344	234	7	k.	k.	PROPN
ap-1344	234	8	:	:	PUNCT
ap-1344	234	9	entanglement	entanglement	NOUN
ap-1344	234	10	of	of	ADP
ap-1344	234	11	formation	formation	NOUN
ap-1344	234	12	of	of	ADP
ap-1344	234	13	an	an	DET
ap-1344	234	14	arbitrary	arbitrary	ADJ
ap-1344	234	15	state	state	NOUN
ap-1344	234	16	of	of	ADP
ap-1344	234	17	two	two	NUM
ap-1344	234	18	qubits	qubit	NOUN
ap-1344	234	19	.	.	PUNCT
ap-1344	235	1	phys	phy	NOUN
ap-1344	235	2	.	.	PUNCT
ap-1344	236	1	rev	rev	PROPN
ap-1344	236	2	.	.	PROPN
ap-1344	236	3	lett	lett	PROPN
ap-1344	236	4	.	.	PROPN
ap-1344	236	5	,	,	PUNCT
ap-1344	236	6	80(10	80(10	NUM
ap-1344	236	7	)	)	PUNCT
ap-1344	236	8	,	,	PUNCT
ap-1344	236	9	1998	1998	NUM
ap-1344	236	10	,	,	PUNCT
ap-1344	236	11	p.	p.	NOUN
ap-1344	236	12	2	2	NUM
ap-1344	236	13	245–2	245–2	NUM
ap-1344	236	14	248	248	NUM
ap-1344	236	15	.	.	PUNCT
ap-1344	237	1	[	[	X
ap-1344	237	2	11	11	NUM
ap-1344	237	3	]	]	PUNCT
ap-1344	237	4	mekata	mekata	NOUN
ap-1344	237	5	,	,	PUNCT
ap-1344	237	6	m.	m.	NOUN
ap-1344	237	7	,	,	PUNCT
ap-1344	237	8	al	al	PROPN
ap-1344	237	9	.	.	PROPN
ap-1344	237	10	:	:	PUNCT
ap-1344	238	1	magnetic	magnetic	ADJ
ap-1344	238	2	ordering	ordering	NOUN
ap-1344	238	3	in	in	ADP
ap-1344	238	4	triangulated	triangulate	VERB
ap-1344	238	5	kagomé	kagomé	NOUN
ap-1344	238	6	lattice	lattice	PROPN
ap-1344	238	7	compound	compound	PROPN
ap-1344	238	8	cu9cl2(cpa)6nh2o	cu9cl2(cpa)6nh2o	PROPN
ap-1344	238	9	.	.	PUNCT
ap-1344	239	1	j.	j.	PROPN
ap-1344	239	2	magn	magn	PROPN
ap-1344	239	3	.	.	PUNCT
ap-1344	240	1	magn	magn	PROPN
ap-1344	240	2	.	.	PUNCT
ap-1344	241	1	mater	mater	PROPN
ap-1344	241	2	.	.	PROPN
ap-1344	241	3	,	,	PUNCT
ap-1344	242	1	177–181	177–181	NUM
ap-1344	242	2	,	,	PUNCT
ap-1344	242	3	1998	1998	NUM
ap-1344	242	4	,	,	PUNCT
ap-1344	242	5	p.	p.	NOUN
ap-1344	243	1	731–732	731–732	NUM
ap-1344	243	2	.	.	PUNCT
ap-1344	244	1	[	[	X
ap-1344	244	2	12	12	NUM
ap-1344	244	3	]	]	X
ap-1344	244	4	wang	wang	PROPN
ap-1344	244	5	,	,	PUNCT
ap-1344	244	6	x.	x.	PROPN
ap-1344	244	7	,	,	PUNCT
ap-1344	244	8	et	et	PROPN
ap-1344	244	9	al	al	PROPN
ap-1344	244	10	.	.	PUNCT
ap-1344	244	11	:	:	PUNCT
ap-1344	244	12	thermal	thermal	ADJ
ap-1344	244	13	entanglement	entanglement	NOUN
ap-1344	244	14	in	in	ADP
ap-1344	244	15	three	three	NUM
ap-1344	244	16	-	-	PUNCT
ap-1344	244	17	qubit	qubit	NOUN
ap-1344	244	18	heisenberg	heisenberg	PROPN
ap-1344	244	19	models	model	NOUN
ap-1344	244	20	.	.	PUNCT
ap-1344	245	1	j.	j.	PROPN
ap-1344	245	2	phys	phys	PROPN
ap-1344	245	3	.	.	PUNCT
ap-1344	246	1	a	a	DET
ap-1344	246	2	:	:	PUNCT
ap-1344	246	3	math	math	NOUN
ap-1344	246	4	.	.	PUNCT
ap-1344	247	1	gen	gen	PROPN
ap-1344	247	2	.	.	PROPN
ap-1344	247	3	,	,	PUNCT
ap-1344	247	4	34(50	34(50	NUM
ap-1344	247	5	)	)	PUNCT
ap-1344	247	6	,	,	PUNCT
ap-1344	247	7	2001	2001	NUM
ap-1344	247	8	,	,	PUNCT
ap-1344	247	9	11307	11307	NUM
ap-1344	247	10	.	.	PUNCT
ap-1344	248	1	n.	n.	PROPN
ap-1344	248	2	ananikian	ananikian	PROPN
ap-1344	248	3	yerevan	yerevan	PROPN
ap-1344	248	4	physics	physics	PROPN
ap-1344	248	5	institute	institute	PROPN
ap-1344	248	6	alikhanian	alikhanian	PROPN
ap-1344	248	7	br	br	PROPN
ap-1344	248	8	.	.	PROPN
ap-1344	248	9	2	2	NUM
ap-1344	248	10	0036	0036	NUM
ap-1344	248	11	yerevan	yerevan	PROPN
ap-1344	248	12	,	,	PUNCT
ap-1344	248	13	armenia	armenia	PROPN
ap-1344	248	14	l.	l.	PROPN
ap-1344	248	15	ananikyan	ananikyan	PROPN
ap-1344	248	16	e	e	PROPN
ap-1344	248	17	-	-	NOUN
ap-1344	248	18	mail	mail	NOUN
ap-1344	248	19	:	:	PUNCT
ap-1344	248	20	lev.ananikyan@gmail.com	lev.ananikyan@gmail.com	PROPN
ap-1344	248	21	yerevan	yerevan	PROPN
ap-1344	248	22	physics	physics	PROPN
ap-1344	248	23	institute	institute	PROPN
ap-1344	248	24	alikhanian	alikhanian	PROPN
ap-1344	248	25	br	br	PROPN
ap-1344	248	26	.	.	PROPN
ap-1344	248	27	2	2	NUM
ap-1344	248	28	0036	0036	NUM
ap-1344	248	29	yerevan	yerevan	PROPN
ap-1344	248	30	,	,	PUNCT
ap-1344	248	31	armenia	armenia	PROPN
ap-1344	248	32	l.	l.	PROPN
ap-1344	248	33	chakhmakhchyan	chakhmakhchyan	PROPN
ap-1344	248	34	yerevan	yerevan	PROPN
ap-1344	248	35	physics	physics	PROPN
ap-1344	248	36	institute	institute	PROPN
ap-1344	248	37	alikhanian	alikhanian	PROPN
ap-1344	248	38	br	br	PROPN
ap-1344	248	39	.	.	PROPN
ap-1344	248	40	2	2	NUM
ap-1344	248	41	0036	0036	NUM
ap-1344	248	42	yerevan	yerevan	PROPN
ap-1344	248	43	,	,	PUNCT
ap-1344	248	44	armenia	armenia	PROPN
ap-1344	248	45	yerevan	yerevan	PROPN
ap-1344	248	46	state	state	PROPN
ap-1344	248	47	university	university	PROPN
ap-1344	248	48	a.	a.	NOUN
ap-1344	248	49	manoogian	manoogian	PROPN
ap-1344	248	50	1	1	NUM
ap-1344	248	51	0025	0025	NUM
ap-1344	248	52	yerevan	yerevan	PROPN
ap-1344	248	53	,	,	PUNCT
ap-1344	248	54	armenia	armenia	PROPN
ap-1344	248	55	a.	a.	PROPN
ap-1344	248	56	kocharian	kocharian	PROPN
ap-1344	248	57	yerevan	yerevan	PROPN
ap-1344	248	58	physics	physics	PROPN
ap-1344	248	59	institute	institute	PROPN
ap-1344	248	60	alikhanian	alikhanian	PROPN
ap-1344	248	61	br	br	PROPN
ap-1344	248	62	.	.	PROPN
ap-1344	248	63	2	2	NUM
ap-1344	248	64	0036	0036	NUM
ap-1344	248	65	yerevan	yerevan	PROPN
ap-1344	248	66	,	,	PUNCT
ap-1344	248	67	armenia	armenia	PROPN
ap-1344	248	68	department	department	PROPN
ap-1344	248	69	of	of	ADP
ap-1344	248	70	physics	physics	PROPN
ap-1344	248	71	california	california	PROPN
ap-1344	248	72	state	state	PROPN
ap-1344	248	73	university	university	PROPN
ap-1344	248	74	los	los	PROPN
ap-1344	248	75	angeles	angeles	PROPN
ap-1344	248	76	,	,	PUNCT
ap-1344	248	77	ca	ca	PROPN
ap-1344	248	78	90032	90032	NUM
ap-1344	248	79	,	,	PUNCT
ap-1344	248	80	usa	usa	PROPN
ap-1344	248	81	12	12	NUM