Dynamics of the transverse Ising model with next-nearest-neighbor interactions

Detalhes bibliográficos
Autor(a) principal: Guimarães, P. R. C.
Data de Publicação: 2015
Outros Autores: Plascak, J. A., Bonfim, O. F. de Alcantara, Florencio, J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: https://doi.org/10.1103/PhysRevE.92.042115
http://www.locus.ufv.br/handle/123456789/19177
Resumo: We study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.
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spelling Dynamics of the transverse Ising model with next-nearest-neighbor interactionsNext-nearest-neighborTransverse Ising modelWe study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.Physical Review E2018-04-26T17:17:10Z2018-04-26T17:17:10Z2015-10-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlepdfapplication/pdf24700053https://doi.org/10.1103/PhysRevE.92.042115http://www.locus.ufv.br/handle/123456789/19177engv. 92, Iss. 4, p. 042115, October 2015American Physical Societyinfo:eu-repo/semantics/openAccessGuimarães, P. R. C.Plascak, J. A.Bonfim, O. F. de AlcantaraFlorencio, J.reponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFV2024-07-12T08:31:44Zoai:locus.ufv.br:123456789/19177Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452024-07-12T08:31:44LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Dynamics of the transverse Ising model with next-nearest-neighbor interactions
title Dynamics of the transverse Ising model with next-nearest-neighbor interactions
spellingShingle Dynamics of the transverse Ising model with next-nearest-neighbor interactions
Guimarães, P. R. C.
Next-nearest-neighbor
Transverse Ising model
title_short Dynamics of the transverse Ising model with next-nearest-neighbor interactions
title_full Dynamics of the transverse Ising model with next-nearest-neighbor interactions
title_fullStr Dynamics of the transverse Ising model with next-nearest-neighbor interactions
title_full_unstemmed Dynamics of the transverse Ising model with next-nearest-neighbor interactions
title_sort Dynamics of the transverse Ising model with next-nearest-neighbor interactions
author Guimarães, P. R. C.
author_facet Guimarães, P. R. C.
Plascak, J. A.
Bonfim, O. F. de Alcantara
Florencio, J.
author_role author
author2 Plascak, J. A.
Bonfim, O. F. de Alcantara
Florencio, J.
author2_role author
author
author
dc.contributor.author.fl_str_mv Guimarães, P. R. C.
Plascak, J. A.
Bonfim, O. F. de Alcantara
Florencio, J.
dc.subject.por.fl_str_mv Next-nearest-neighbor
Transverse Ising model
topic Next-nearest-neighbor
Transverse Ising model
description We study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-07
2018-04-26T17:17:10Z
2018-04-26T17:17:10Z
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 24700053
https://doi.org/10.1103/PhysRevE.92.042115
http://www.locus.ufv.br/handle/123456789/19177
identifier_str_mv 24700053
url https://doi.org/10.1103/PhysRevE.92.042115
http://www.locus.ufv.br/handle/123456789/19177
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv v. 92, Iss. 4, p. 042115, October 2015
dc.rights.driver.fl_str_mv American Physical Society
info:eu-repo/semantics/openAccess
rights_invalid_str_mv American Physical Society
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv Physical Review E
publisher.none.fl_str_mv Physical Review E
dc.source.none.fl_str_mv reponame:LOCUS Repositório Institucional da UFV
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str LOCUS Repositório Institucional da UFV
collection LOCUS Repositório Institucional da UFV
repository.name.fl_str_mv LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv fabiojreis@ufv.br
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