Unusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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/openAccess2024-07-01T20:52:17Zoai:repositorio.unesp.br:11449/226191Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:41:31.161475Repositório 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_ |
1808128226352955392 |