Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | LOCUS Repositório Institucional da UFV |
Texto Completo: | https://doi.org/10.1016/j.physleta.2007.01.044 http://www.locus.ufv.br/handle/123456789/22255 |
Resumo: | Heisenberg-like spins lying on the pseudosphere (a 2-dimensional infinite space with constant negative curvature) cannot give rise to stable soliton solutions. Only fractional solutions can be stabilized on this surface provided that at least a hole is incorporated. We also address the issue of ‘in-plane’ vortices, in the XY regime. Interestingly, the energy of a single vortex no longer blows up as the excitation spreads to infinity. This yields a non-confining potential between a vortex and an antivortex at large distances so that the pair may dissociate at arbitrarily low temperature. |
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2145 |
spelling |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphereHeisenberg modelNegative curvatureTopological spinHeisenberg-like spins lying on the pseudosphere (a 2-dimensional infinite space with constant negative curvature) cannot give rise to stable soliton solutions. Only fractional solutions can be stabilized on this surface provided that at least a hole is incorporated. We also address the issue of ‘in-plane’ vortices, in the XY regime. Interestingly, the energy of a single vortex no longer blows up as the excitation spreads to infinity. This yields a non-confining potential between a vortex and an antivortex at large distances so that the pair may dissociate at arbitrarily low temperature.Physics Letters A2018-10-16T10:45:21Z2018-10-16T10:45:21Z2007-06-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlepdfapplication/pdf0375-9601https://doi.org/10.1016/j.physleta.2007.01.044http://www.locus.ufv.br/handle/123456789/22255engVolume 365, Issues 5–6, Pages 463-468, June 2007Elsevier B. V.info:eu-repo/semantics/openAccessBelo, L. R. A.Oliveira Neto, N. M.Moura Melo, W. A.Pereira, A. R.Ercolessi, Elisareponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFV2024-07-12T06:27:23Zoai:locus.ufv.br:123456789/22255Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452024-07-12T06:27:23LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false |
dc.title.none.fl_str_mv |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
title |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
spellingShingle |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere Belo, L. R. A. Heisenberg model Negative curvature Topological spin |
title_short |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
title_full |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
title_fullStr |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
title_full_unstemmed |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
title_sort |
Heisenberg model on a space with negative curvature: Topological spin textures on the pseudosphere |
author |
Belo, L. R. A. |
author_facet |
Belo, L. R. A. Oliveira Neto, N. M. Moura Melo, W. A. Pereira, A. R. Ercolessi, Elisa |
author_role |
author |
author2 |
Oliveira Neto, N. M. Moura Melo, W. A. Pereira, A. R. Ercolessi, Elisa |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Belo, L. R. A. Oliveira Neto, N. M. Moura Melo, W. A. Pereira, A. R. Ercolessi, Elisa |
dc.subject.por.fl_str_mv |
Heisenberg model Negative curvature Topological spin |
topic |
Heisenberg model Negative curvature Topological spin |
description |
Heisenberg-like spins lying on the pseudosphere (a 2-dimensional infinite space with constant negative curvature) cannot give rise to stable soliton solutions. Only fractional solutions can be stabilized on this surface provided that at least a hole is incorporated. We also address the issue of ‘in-plane’ vortices, in the XY regime. Interestingly, the energy of a single vortex no longer blows up as the excitation spreads to infinity. This yields a non-confining potential between a vortex and an antivortex at large distances so that the pair may dissociate at arbitrarily low temperature. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-06-11 2018-10-16T10:45:21Z 2018-10-16T10:45:21Z |
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 |
0375-9601 https://doi.org/10.1016/j.physleta.2007.01.044 http://www.locus.ufv.br/handle/123456789/22255 |
identifier_str_mv |
0375-9601 |
url |
https://doi.org/10.1016/j.physleta.2007.01.044 http://www.locus.ufv.br/handle/123456789/22255 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Volume 365, Issues 5–6, Pages 463-468, June 2007 |
dc.rights.driver.fl_str_mv |
Elsevier B. V. info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Elsevier B. V. |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
pdf application/pdf |
dc.publisher.none.fl_str_mv |
Physics Letters A |
publisher.none.fl_str_mv |
Physics Letters A |
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 |
_version_ |
1817559838725505024 |