Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model

Detalhes bibliográficos
Autor(a) principal: Dalmazi, D. [UNESP]
Data de Publicação: 2010
Outros Autores: Sá, F. L. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevE.82.051108
http://hdl.handle.net/11449/226191
Resumo: We show here for the one-dimensional spin-1/2 axial-next-to-nearest- neighbor Ising model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent σ=-2/3 at the Yang-Lee edge singularity. The necessary condition for this unusual behavior is the triple degeneracy of the transfer-matrix eigenvalues. If this condition is absent we have the usual value σ=-1/2. Analogous results have been found in the literature in the spin-1 Blume-Emery-Griffths model and in the three-state Potts model in a magnetic field with two complex components. Our results support the universality of σ=-2/3 which might be a one-dimensional footprint of a tricritical version of the Yang-Lee edge singularity possibly present also in higher-dimensional spin models. © 2010 The American Physical Society.
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spelling Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising modelWe show here for the one-dimensional spin-1/2 axial-next-to-nearest- neighbor Ising model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent σ=-2/3 at the Yang-Lee edge singularity. The necessary condition for this unusual behavior is the triple degeneracy of the transfer-matrix eigenvalues. If this condition is absent we have the usual value σ=-1/2. Analogous results have been found in the literature in the spin-1 Blume-Emery-Griffths model and in the three-state Potts model in a magnetic field with two complex components. Our results support the universality of σ=-2/3 which might be a one-dimensional footprint of a tricritical version of the Yang-Lee edge singularity possibly present also in higher-dimensional spin models. © 2010 The American Physical Society.Univ. Estadual Paulista (UNESP) Campus de Guaratinguetá DFQ, Av. Dr. Ariberto P. da Cunha 333, CEP 12516-410 Guaratinguetá, SPUniv. Estadual Paulista (UNESP) Campus de Guaratinguetá DFQ, Av. Dr. Ariberto P. da Cunha 333, CEP 12516-410 Guaratinguetá, SPUniversidade Estadual Paulista (UNESP)Dalmazi, D. [UNESP]Sá, F. L. [UNESP]2022-04-28T21:50:51Z2022-04-28T21:50:51Z2010-11-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevE.82.051108Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 82, n. 5, 2010.1539-37551550-2376http://hdl.handle.net/11449/22619110.1103/PhysRevE.82.0511082-s2.0-78651272210Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2022-04-28T21:50:51Zoai:repositorio.unesp.br:11449/226191Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T21:50:51Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
title Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
spellingShingle Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
Dalmazi, D. [UNESP]
title_short Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
title_full Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
title_fullStr Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
title_full_unstemmed Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
title_sort Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
author Dalmazi, D. [UNESP]
author_facet Dalmazi, D. [UNESP]
Sá, F. L. [UNESP]
author_role author
author2 Sá, F. L. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Dalmazi, D. [UNESP]
Sá, F. L. [UNESP]
description We show here for the one-dimensional spin-1/2 axial-next-to-nearest- neighbor Ising model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent σ=-2/3 at the Yang-Lee edge singularity. The necessary condition for this unusual behavior is the triple degeneracy of the transfer-matrix eigenvalues. If this condition is absent we have the usual value σ=-1/2. Analogous results have been found in the literature in the spin-1 Blume-Emery-Griffths model and in the three-state Potts model in a magnetic field with two complex components. Our results support the universality of σ=-2/3 which might be a one-dimensional footprint of a tricritical version of the Yang-Lee edge singularity possibly present also in higher-dimensional spin models. © 2010 The American Physical Society.
publishDate 2010
dc.date.none.fl_str_mv 2010-11-05
2022-04-28T21:50:51Z
2022-04-28T21:50:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.82.051108
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 82, n. 5, 2010.
1539-3755
1550-2376
http://hdl.handle.net/11449/226191
10.1103/PhysRevE.82.051108
2-s2.0-78651272210
url http://dx.doi.org/10.1103/PhysRevE.82.051108
http://hdl.handle.net/11449/226191
identifier_str_mv Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 82, n. 5, 2010.
1539-3755
1550-2376
10.1103/PhysRevE.82.051108
2-s2.0-78651272210
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799964936640659456

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