Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model

Autores
Romá, Federico José; Risau Gusman, Sebastian Luis; Ramirez Pastor, Antonio Jose; Nieto, Félix; Vogel, E. E.
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the phase stability of the Edwards-Anderson spin glass model by analyzing the domain-wall energy. For a bimodal ±J distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three-dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.
Fil: Romá, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Risau Gusman, Sebastian Luis. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Nieto, Félix. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Vogel, E. E.. Universidad de la Frontera; Chile
Materia
Edwards-Anderson ±J Spin Glass Model
Phase Transitions
Monte carlo simulations
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:11336/117262
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/117262
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass modelRomá, Federico JoséRisau Gusman, Sebastian LuisRamirez Pastor, Antonio JoseNieto, FélixVogel, E. E.Edwards-Anderson ±J Spin Glass ModelPhase TransitionsMonte carlo simulationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the phase stability of the Edwards-Anderson spin glass model by analyzing the domain-wall energy. For a bimodal ±J distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three-dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.Fil: Romá, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Risau Gusman, Sebastian Luis. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Nieto, Félix. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Vogel, E. E.. Universidad de la Frontera; ChileAmerican Physical Society2007-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/117262Romá, Federico José; Risau Gusman, Sebastian Luis; Ramirez Pastor, Antonio Jose; Nieto, Félix; Vogel, E. E.; Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 75; 2; 1-2007; 204021-2040240163-1829CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.75.020402info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.75.020402info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T11:39:11Zoai:ri.conicet.gov.ar:11336/117262instacron: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:34982025-10-29 11:39:12.037CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
title Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
spellingShingle Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
Romá, Federico José
Edwards-Anderson ±J Spin Glass Model
Phase Transitions
Monte carlo simulations
title_short Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
title_full Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
title_fullStr Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
title_full_unstemmed Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
title_sort Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
dc.creator.none.fl_str_mv Romá, Federico José
Risau Gusman, Sebastian Luis
Ramirez Pastor, Antonio Jose
Nieto, Félix
Vogel, E. E.
author Romá, Federico José
author_facet Romá, Federico José
Risau Gusman, Sebastian Luis
Ramirez Pastor, Antonio Jose
Nieto, Félix
Vogel, E. E.
author_role author
author2 Risau Gusman, Sebastian Luis
Ramirez Pastor, Antonio Jose
Nieto, Félix
Vogel, E. E.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Edwards-Anderson ±J Spin Glass Model
Phase Transitions
Monte carlo simulations
topic Edwards-Anderson ±J Spin Glass Model
Phase Transitions
Monte carlo simulations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the phase stability of the Edwards-Anderson spin glass model by analyzing the domain-wall energy. For a bimodal ±J distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three-dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.
Fil: Romá, Federico José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Risau Gusman, Sebastian Luis. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Nieto, Félix. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Vogel, E. E.. Universidad de la Frontera; Chile
description We study the phase stability of the Edwards-Anderson spin glass model by analyzing the domain-wall energy. For a bimodal ±J distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three-dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.
publishDate 2007
dc.date.none.fl_str_mv 2007-01
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/11336/117262
Romá, Federico José; Risau Gusman, Sebastian Luis; Ramirez Pastor, Antonio Jose; Nieto, Félix; Vogel, E. E.; Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 75; 2; 1-2007; 204021-204024
0163-1829
CONICET Digital
CONICET
url http://hdl.handle.net/11336/117262
identifier_str_mv Romá, Federico José; Risau Gusman, Sebastian Luis; Ramirez Pastor, Antonio Jose; Nieto, Félix; Vogel, E. E.; Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 75; 2; 1-2007; 204021-204024
0163-1829
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.75.020402
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.75.020402
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
_version_ 1847426250415538176
score 13.10058

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