Combined approach to analyze and classify families of classical spin liquids

Autores
Davier, N.; Gómez Albarracín, Flavia Alejandra; Rosales, Héctor Diego; Pujol, P.
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correlations at zero temperature. In this article, we investigate different families of classical spins liquids by combining analytical techniques and Monte Carlo simulations. Our study relies on the Luttinger-Tisza Approximation (LTA), which is associated with the constraint vector function in momentum space, whose general properties allow for a classification of different spin liquids. We show that the general properties of the LTA provide a framework for identifying and accurately characterizing the different types of spin liquids in different geometries. We apply our approach to three different families of spin liquids defined on the checkerboard and kagome lattices, which exhibit a remarkable range of situations, including various cases of algebraic and short-range spin liquids. Additionally, we analyze the effective Gauss law emerging from different kinds of spin liquids and identify states that exhibit additional degeneracy lines. The presence of spin liquid phases and pinch point singularities are confirmed by Monte Carlo simulations validating our approach. Our study opens up new avenues of research in the study of spin liquids, exploring algebraic spin liquids with higher-rank gauge fields and as critical points dividing different types of classical spin liquids.
Fil: Davier, N.. Instituto Polytechnique de Toulouse; Francia
Fil: Gómez Albarracín, Flavia Alejandra. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Rosales, Héctor Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Pujol, P.. Instituto Polytechnique de Toulouse; Francia
Materia
SPIN LIQUID
LUTTINGER-TISZA
PINCH-POINTS
GAUSS LOW
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/230122
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Combined approach to analyze and classify families of classical spin liquidsDavier, N.Gómez Albarracín, Flavia AlejandraRosales, Héctor DiegoPujol, P.SPIN LIQUIDLUTTINGER-TISZAPINCH-POINTSGAUSS LOWhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correlations at zero temperature. In this article, we investigate different families of classical spins liquids by combining analytical techniques and Monte Carlo simulations. Our study relies on the Luttinger-Tisza Approximation (LTA), which is associated with the constraint vector function in momentum space, whose general properties allow for a classification of different spin liquids. We show that the general properties of the LTA provide a framework for identifying and accurately characterizing the different types of spin liquids in different geometries. We apply our approach to three different families of spin liquids defined on the checkerboard and kagome lattices, which exhibit a remarkable range of situations, including various cases of algebraic and short-range spin liquids. Additionally, we analyze the effective Gauss law emerging from different kinds of spin liquids and identify states that exhibit additional degeneracy lines. The presence of spin liquid phases and pinch point singularities are confirmed by Monte Carlo simulations validating our approach. Our study opens up new avenues of research in the study of spin liquids, exploring algebraic spin liquids with higher-rank gauge fields and as critical points dividing different types of classical spin liquids.Fil: Davier, N.. Instituto Polytechnique de Toulouse; FranciaFil: Gómez Albarracín, Flavia Alejandra. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Rosales, Héctor Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; ArgentinaFil: Pujol, P.. Instituto Polytechnique de Toulouse; FranciaAmerican Physical Society2023-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/230122Davier, N.; Gómez Albarracín, Flavia Alejandra; Rosales, Héctor Diego; Pujol, P.; Combined approach to analyze and classify families of classical spin liquids; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 108; 5; 7-2023; 1-241098-01212469-9969CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.108.054408info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:03Zoai:ri.conicet.gov.ar:11336/230122instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:04.157CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Combined approach to analyze and classify families of classical spin liquids
title Combined approach to analyze and classify families of classical spin liquids
spellingShingle Combined approach to analyze and classify families of classical spin liquids
Davier, N.
SPIN LIQUID
LUTTINGER-TISZA
PINCH-POINTS
GAUSS LOW
title_short Combined approach to analyze and classify families of classical spin liquids
title_full Combined approach to analyze and classify families of classical spin liquids
title_fullStr Combined approach to analyze and classify families of classical spin liquids
title_full_unstemmed Combined approach to analyze and classify families of classical spin liquids
title_sort Combined approach to analyze and classify families of classical spin liquids
dc.creator.none.fl_str_mv Davier, N.
Gómez Albarracín, Flavia Alejandra
Rosales, Héctor Diego
Pujol, P.
author Davier, N.
author_facet Davier, N.
Gómez Albarracín, Flavia Alejandra
Rosales, Héctor Diego
Pujol, P.
author_role author
author2 Gómez Albarracín, Flavia Alejandra
Rosales, Héctor Diego
Pujol, P.
author2_role author
author
author
dc.subject.none.fl_str_mv SPIN LIQUID
LUTTINGER-TISZA
PINCH-POINTS
GAUSS LOW
topic SPIN LIQUID
LUTTINGER-TISZA
PINCH-POINTS
GAUSS LOW
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correlations at zero temperature. In this article, we investigate different families of classical spins liquids by combining analytical techniques and Monte Carlo simulations. Our study relies on the Luttinger-Tisza Approximation (LTA), which is associated with the constraint vector function in momentum space, whose general properties allow for a classification of different spin liquids. We show that the general properties of the LTA provide a framework for identifying and accurately characterizing the different types of spin liquids in different geometries. We apply our approach to three different families of spin liquids defined on the checkerboard and kagome lattices, which exhibit a remarkable range of situations, including various cases of algebraic and short-range spin liquids. Additionally, we analyze the effective Gauss law emerging from different kinds of spin liquids and identify states that exhibit additional degeneracy lines. The presence of spin liquid phases and pinch point singularities are confirmed by Monte Carlo simulations validating our approach. Our study opens up new avenues of research in the study of spin liquids, exploring algebraic spin liquids with higher-rank gauge fields and as critical points dividing different types of classical spin liquids.
Fil: Davier, N.. Instituto Polytechnique de Toulouse; Francia
Fil: Gómez Albarracín, Flavia Alejandra. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Rosales, Héctor Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Pujol, P.. Instituto Polytechnique de Toulouse; Francia
description Classical spin liquids have been a very active subject of research in the last few years. A very rich variety of cases have been shown to exist, including short-range and algebraic spin liquids displaying dipolar correlations at zero temperature. In this article, we investigate different families of classical spins liquids by combining analytical techniques and Monte Carlo simulations. Our study relies on the Luttinger-Tisza Approximation (LTA), which is associated with the constraint vector function in momentum space, whose general properties allow for a classification of different spin liquids. We show that the general properties of the LTA provide a framework for identifying and accurately characterizing the different types of spin liquids in different geometries. We apply our approach to three different families of spin liquids defined on the checkerboard and kagome lattices, which exhibit a remarkable range of situations, including various cases of algebraic and short-range spin liquids. Additionally, we analyze the effective Gauss law emerging from different kinds of spin liquids and identify states that exhibit additional degeneracy lines. The presence of spin liquid phases and pinch point singularities are confirmed by Monte Carlo simulations validating our approach. Our study opens up new avenues of research in the study of spin liquids, exploring algebraic spin liquids with higher-rank gauge fields and as critical points dividing different types of classical spin liquids.
publishDate 2023
dc.date.none.fl_str_mv 2023-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/230122
Davier, N.; Gómez Albarracín, Flavia Alejandra; Rosales, Héctor Diego; Pujol, P.; Combined approach to analyze and classify families of classical spin liquids; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 108; 5; 7-2023; 1-24
1098-0121
2469-9969
CONICET Digital
CONICET
url http://hdl.handle.net/11336/230122
identifier_str_mv Davier, N.; Gómez Albarracín, Flavia Alejandra; Rosales, Héctor Diego; Pujol, P.; Combined approach to analyze and classify families of classical spin liquids; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 108; 5; 7-2023; 1-24
1098-0121
2469-9969
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.108.054408
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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