Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm

Autores
Ferreyra, María Victoria; Giordano, Gastón Luciano; Borzi, Rodolfo Alberto; Betouras, Joseph J.; Grigera, Santiago Andrés
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ([111] and [100]), we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.
Instituto de Física de Líquidos y Sistemas Biológicos
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Solid State and Materials
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/86483

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spelling Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithmFerreyra, María VictoriaGiordano, Gastón LucianoBorzi, Rodolfo AlbertoBetouras, Joseph J.Grigera, Santiago AndrésCiencias ExactasSolid State and MaterialsIn this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ([111] and [100]), we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.Instituto de Física de Líquidos y Sistemas BiológicosFacultad de Ciencias Exactas2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-9http://sedici.unlp.edu.ar/handle/10915/86483enginfo:eu-repo/semantics/altIdentifier/issn/1434-6028info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2016-60781-7info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:49:07Zoai:sedici.unlp.edu.ar:10915/86483Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:49:07.944SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
title Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
spellingShingle Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
Ferreyra, María Victoria
Ciencias Exactas
Solid State and Materials
title_short Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
title_full Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
title_fullStr Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
title_full_unstemmed Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
title_sort Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
dc.creator.none.fl_str_mv Ferreyra, María Victoria
Giordano, Gastón Luciano
Borzi, Rodolfo Alberto
Betouras, Joseph J.
Grigera, Santiago Andrés
author Ferreyra, María Victoria
author_facet Ferreyra, María Victoria
Giordano, Gastón Luciano
Borzi, Rodolfo Alberto
Betouras, Joseph J.
Grigera, Santiago Andrés
author_role author
author2 Giordano, Gastón Luciano
Borzi, Rodolfo Alberto
Betouras, Joseph J.
Grigera, Santiago Andrés
author2_role author
author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Solid State and Materials
topic Ciencias Exactas
Solid State and Materials
dc.description.none.fl_txt_mv In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ([111] and [100]), we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.
Instituto de Física de Líquidos y Sistemas Biológicos
Facultad de Ciencias Exactas
description In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ([111] and [100]), we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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info:ar-repo/semantics/articulo
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dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/86483
url http://sedici.unlp.edu.ar/handle/10915/86483
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1434-6028
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2016-60781-7
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
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