High-temperature magnetization and entropy of the triangular lattice Hubbard model in a Zeeman field Article Swipe

PDF

Owen Bradley , Yutan Zhang , J. Oitmaa , Rajiv R. P. Singh ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2303.03550

We use strong coupling expansions to calculate the entropy function $S(T,h)$, the magnetization $M(T,h)$, and the double occupancy factor $D(T,h)$ for the half-filled triangular lattice Hubbard model as a function of temperature $T$ and Zeeman field $h$, for various values of the Hubbard parameter ratio $U/t$. These calculations converge well for temperatures larger than the exchange parameter $J=\frac{4t^2}{U}$ for moderate to large $U/t$ values. Setting $μ=U/2$ suffices to obtain the density of half filling within a fraction of one percent at all temperatures studied for $U/t \geq 8$. We discuss the systematic variation of properties with $U/t$. The temperature dependence of entropy and the double occupancy parameter shows a mapping to an antiferromagnetic Mott insulating behavior at temperatures well above $T=J$ for $U/t\ge 10$. Convergence of the series is weaker at intermediate fields implying non-monotonic variation of spin-correlations with the Zeeman field. We discuss the relevance of the Hubbard model results to the triangular-lattice antiferromagnetic materials Lu$_3$Cu$_2$Sb$_3$O$_{14} $ (LCSO) studied recently by Yang et al [Yang et al arXiv:2102.09271 (2022)].

Related Topics

Condensed Matter Physics

Concepts

Antiferromagnetism Condensed matter physics Zeeman effect Hubbard model Physics Magnetization t-J model Lattice (music) Superconductivity Quantum mechanics Magnetic field Acoustics

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2303.03550
PDF: https://arxiv.org/pdf/2303.03550
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4323650470

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4323650470

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2303.03550

Digital Object Identifier
Title: High-temperature magnetization and entropy of the triangular lattice Hubbard model in a Zeeman field

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-03-06

Full publication date if available
Authors: Owen Bradley, Yutan Zhang, J. Oitmaa, Rajiv R. P. Singh

List of authors in order
Landing page: https://arxiv.org/abs/2303.03550

Publisher landing page
PDF URL: https://arxiv.org/pdf/2303.03550

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2303.03550

Direct OA link when available
Concepts: Antiferromagnetism, Condensed matter physics, Zeeman effect, Hubbard model, Physics, Magnetization, t-J model, Lattice (music), Superconductivity, Quantum mechanics, Magnetic field, Acoustics

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4323650470
doi	https://doi.org/10.48550/arxiv.2303.03550
ids.doi	https://doi.org/10.48550/arxiv.2303.03550
ids.openalex	https://openalex.org/W4323650470
fwci
type	preprint
title	High-temperature magnetization and entropy of the triangular lattice Hubbard model in a Zeeman field
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T11682
topics[0].field.id	https://openalex.org/fields/31
topics[0].field.display_name	Physics and Astronomy
topics[0].score	0.9987999796867371
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/3104
topics[0].subfield.display_name	Condensed Matter Physics
topics[0].display_name	Advanced Condensed Matter Physics
topics[1].id	https://openalex.org/T10037
topics[1].field.id	https://openalex.org/fields/31
topics[1].field.display_name	Physics and Astronomy
topics[1].score	0.998199999332428
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/3104
topics[1].subfield.display_name	Condensed Matter Physics
topics[1].display_name	Physics of Superconductivity and Magnetism
topics[2].id	https://openalex.org/T10607
topics[2].field.id	https://openalex.org/fields/25
topics[2].field.display_name	Materials Science
topics[2].score	0.9970999956130981
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2504
topics[2].subfield.display_name	Electronic, Optical and Magnetic Materials
topics[2].display_name	Magnetic and transport properties of perovskites and related materials
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C155355069
concepts[0].level	2
concepts[0].score	0.7938061356544495
concepts[0].wikidata	https://www.wikidata.org/wiki/Q575224
concepts[0].display_name	Antiferromagnetism
concepts[1].id	https://openalex.org/C26873012
concepts[1].level	1
concepts[1].score	0.7648049592971802
concepts[1].wikidata	https://www.wikidata.org/wiki/Q214781
concepts[1].display_name	Condensed matter physics
concepts[2].id	https://openalex.org/C25227350
concepts[2].level	3
concepts[2].score	0.7127969264984131
concepts[2].wikidata	https://www.wikidata.org/wiki/Q201805
concepts[2].display_name	Zeeman effect
concepts[3].id	https://openalex.org/C106074065
concepts[3].level	3
concepts[3].score	0.6440559029579163
concepts[3].wikidata	https://www.wikidata.org/wiki/Q1571298
concepts[3].display_name	Hubbard model
concepts[4].id	https://openalex.org/C121332964
concepts[4].level	0
concepts[4].score	0.6246041655540466
concepts[4].wikidata	https://www.wikidata.org/wiki/Q413
concepts[4].display_name	Physics
concepts[5].id	https://openalex.org/C32546565
concepts[5].level	3
concepts[5].score	0.6156417727470398
concepts[5].wikidata	https://www.wikidata.org/wiki/Q856711
concepts[5].display_name	Magnetization
concepts[6].id	https://openalex.org/C135412997
concepts[6].level	4
concepts[6].score	0.4290286898612976
concepts[6].wikidata	https://www.wikidata.org/wiki/Q1049381
concepts[6].display_name	t-J model
concepts[7].id	https://openalex.org/C2781204021
concepts[7].level	2
concepts[7].score	0.4145854115486145
concepts[7].wikidata	https://www.wikidata.org/wiki/Q6497091
concepts[7].display_name	Lattice (music)
concepts[8].id	https://openalex.org/C54101563
concepts[8].level	2
concepts[8].score	0.27950459718704224
concepts[8].wikidata	https://www.wikidata.org/wiki/Q124131
concepts[8].display_name	Superconductivity
concepts[9].id	https://openalex.org/C62520636
concepts[9].level	1
concepts[9].score	0.2680947780609131
concepts[9].wikidata	https://www.wikidata.org/wiki/Q944
concepts[9].display_name	Quantum mechanics
concepts[10].id	https://openalex.org/C115260700
concepts[10].level	2
concepts[10].score	0.261881947517395
concepts[10].wikidata	https://www.wikidata.org/wiki/Q11408
concepts[10].display_name	Magnetic field
concepts[11].id	https://openalex.org/C24890656
concepts[11].level	1
concepts[11].score	0.0
concepts[11].wikidata	https://www.wikidata.org/wiki/Q82811
concepts[11].display_name	Acoustics
keywords[0].id	https://openalex.org/keywords/antiferromagnetism
keywords[0].score	0.7938061356544495
keywords[0].display_name	Antiferromagnetism
keywords[1].id	https://openalex.org/keywords/condensed-matter-physics
keywords[1].score	0.7648049592971802
keywords[1].display_name	Condensed matter physics
keywords[2].id	https://openalex.org/keywords/zeeman-effect
keywords[2].score	0.7127969264984131
keywords[2].display_name	Zeeman effect
keywords[3].id	https://openalex.org/keywords/hubbard-model
keywords[3].score	0.6440559029579163
keywords[3].display_name	Hubbard model
keywords[4].id	https://openalex.org/keywords/physics
keywords[4].score	0.6246041655540466
keywords[4].display_name	Physics
keywords[5].id	https://openalex.org/keywords/magnetization
keywords[5].score	0.6156417727470398
keywords[5].display_name	Magnetization
keywords[6].id	https://openalex.org/keywords/t-j-model
keywords[6].score	0.4290286898612976
keywords[6].display_name	t-J model
keywords[7].id	https://openalex.org/keywords/lattice
keywords[7].score	0.4145854115486145
keywords[7].display_name	Lattice (music)
keywords[8].id	https://openalex.org/keywords/superconductivity
keywords[8].score	0.27950459718704224
keywords[8].display_name	Superconductivity
keywords[9].id	https://openalex.org/keywords/quantum-mechanics
keywords[9].score	0.2680947780609131
keywords[9].display_name	Quantum mechanics
keywords[10].id	https://openalex.org/keywords/magnetic-field
keywords[10].score	0.261881947517395
keywords[10].display_name	Magnetic field
language	en
locations[0].id	pmh:oai:arXiv.org:2303.03550
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/2303.03550
locations[0].version	submittedVersion
locations[0].raw_type
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2303.03550
locations[1].id	doi:10.48550/arxiv.2303.03550
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2303.03550
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5076816257
authorships[0].author.orcid	https://orcid.org/0000-0003-1303-6849
authorships[0].author.display_name	Owen Bradley
authorships[0].author_position	first
authorships[0].raw_author_name	Bradley, Owen
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5048164758
authorships[1].author.orcid
authorships[1].author.display_name	Yutan Zhang
authorships[1].author_position	middle
authorships[1].raw_author_name	Zhang, Yutan
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5041598070
authorships[2].author.orcid	https://orcid.org/0000-0002-1927-6192
authorships[2].author.display_name	J. Oitmaa
authorships[2].author_position	middle
authorships[2].raw_author_name	Oitmaa, Jaan
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5003031006
authorships[3].author.orcid	https://orcid.org/0000-0003-1808-3433
authorships[3].author.display_name	Rajiv R. P. Singh
authorships[3].author_position	last
authorships[3].raw_author_name	Singh, Rajiv R. P.
authorships[3].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2303.03550
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2023-03-10T00:00:00
display_name	High-temperature magnetization and entropy of the triangular lattice Hubbard model in a Zeeman field
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T11682
primary_topic.field.id	https://openalex.org/fields/31
primary_topic.field.display_name	Physics and Astronomy
primary_topic.score	0.9987999796867371
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/3104
primary_topic.subfield.display_name	Condensed Matter Physics
primary_topic.display_name	Advanced Condensed Matter Physics
related_works	https://openalex.org/W1965948601, https://openalex.org/W2169605412, https://openalex.org/W2008478823, https://openalex.org/W4317840173, https://openalex.org/W2044956279, https://openalex.org/W2148991130, https://openalex.org/W1974492251, https://openalex.org/W2069131059, https://openalex.org/W2117514564, https://openalex.org/W2009901425
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2303.03550
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/2303.03550
best_oa_location.version	submittedVersion
best_oa_location.raw_type
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2303.03550
primary_location.id	pmh:oai:arXiv.org:2303.03550
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/2303.03550
primary_location.version	submittedVersion
primary_location.raw_type
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2303.03550
publication_date	2023-03-06
publication_year	2023
referenced_works_count	0
abstract_inverted_index.$	157
abstract_inverted_index.a	28, 75, 108
abstract_inverted_index.We	0, 88, 142
abstract_inverted_index.al	164, 167
abstract_inverted_index.an	111
abstract_inverted_index.as	27
abstract_inverted_index.at	80, 116, 130
abstract_inverted_index.by	161
abstract_inverted_index.et	163, 166
abstract_inverted_index.is	128
abstract_inverted_index.of	30, 40, 71, 77, 93, 100, 125, 136, 146
abstract_inverted_index.to	5, 60, 67, 110, 151
abstract_inverted_index.$T$	32
abstract_inverted_index.8$.	87
abstract_inverted_index.The	97
abstract_inverted_index.all	81
abstract_inverted_index.and	14, 33, 102
abstract_inverted_index.for	20, 37, 50, 58, 84, 121
abstract_inverted_index.one	78
abstract_inverted_index.the	7, 11, 15, 21, 41, 54, 69, 90, 103, 126, 139, 144, 147, 152
abstract_inverted_index.use	1
abstract_inverted_index.$U/t	85
abstract_inverted_index.$h$,	36
abstract_inverted_index.10$.	123
abstract_inverted_index.Mott	113
abstract_inverted_index.Yang	162
abstract_inverted_index.\geq	86
abstract_inverted_index.half	72
abstract_inverted_index.than	53
abstract_inverted_index.well	49, 118
abstract_inverted_index.with	95, 138
abstract_inverted_index.$T=J$	120
abstract_inverted_index.$U/t$	62
abstract_inverted_index.These	46
abstract_inverted_index.[Yang	165
abstract_inverted_index.above	119
abstract_inverted_index.field	35
abstract_inverted_index.large	61
abstract_inverted_index.model	26, 149
abstract_inverted_index.ratio	44
abstract_inverted_index.shows	107
abstract_inverted_index.$U/t$.	45, 96
abstract_inverted_index.(LCSO)	158
abstract_inverted_index.Zeeman	34, 140
abstract_inverted_index.double	16, 104
abstract_inverted_index.factor	18
abstract_inverted_index.field.	141
abstract_inverted_index.fields	132
abstract_inverted_index.larger	52
abstract_inverted_index.obtain	68
abstract_inverted_index.series	127
abstract_inverted_index.strong	2
abstract_inverted_index.values	39
abstract_inverted_index.weaker	129
abstract_inverted_index.within	74
abstract_inverted_index.$U/t\ge	122
abstract_inverted_index.Hubbard	25, 42, 148
abstract_inverted_index.Setting	64
abstract_inverted_index.density	70
abstract_inverted_index.discuss	89, 143
abstract_inverted_index.entropy	8, 101
abstract_inverted_index.filling	73
abstract_inverted_index.lattice	24
abstract_inverted_index.mapping	109
abstract_inverted_index.percent	79
abstract_inverted_index.results	150
abstract_inverted_index.studied	83, 159
abstract_inverted_index.values.	63
abstract_inverted_index.various	38
abstract_inverted_index.$D(T,h)$	19
abstract_inverted_index.$μ=U/2$	65
abstract_inverted_index.(2022)].	169
abstract_inverted_index.behavior	115
abstract_inverted_index.converge	48
abstract_inverted_index.coupling	3
abstract_inverted_index.exchange	55
abstract_inverted_index.fraction	76
abstract_inverted_index.function	9, 29
abstract_inverted_index.implying	133
abstract_inverted_index.moderate	59
abstract_inverted_index.recently	160
abstract_inverted_index.suffices	66
abstract_inverted_index.$M(T,h)$,	13
abstract_inverted_index.$S(T,h)$,	10
abstract_inverted_index.calculate	6
abstract_inverted_index.materials	155
abstract_inverted_index.occupancy	17, 105
abstract_inverted_index.parameter	43, 56, 106
abstract_inverted_index.relevance	145
abstract_inverted_index.variation	92, 135
abstract_inverted_index.dependence	99
abstract_inverted_index.expansions	4
abstract_inverted_index.insulating	114
abstract_inverted_index.properties	94
abstract_inverted_index.systematic	91
abstract_inverted_index.triangular	23
abstract_inverted_index.Convergence	124
abstract_inverted_index.half-filled	22
abstract_inverted_index.temperature	31, 98
abstract_inverted_index.calculations	47
abstract_inverted_index.intermediate	131
abstract_inverted_index.temperatures	51, 82, 117
abstract_inverted_index.magnetization	12
abstract_inverted_index.non-monotonic	134
abstract_inverted_index.arXiv:2102.09271	168
abstract_inverted_index.antiferromagnetic	112, 154
abstract_inverted_index.spin-correlations	137
abstract_inverted_index.$J=\frac{4t^2}{U}$	57
abstract_inverted_index.triangular-lattice	153
abstract_inverted_index.Lu$_3$Cu$_2$Sb$_3$O$_{14}	156
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	4
citation_normalized_percentile