Bethe ansatz solutions for temperley-lieb quantum spin chains
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1142/S0217751X00001245 http://hdl.handle.net/11449/224189 |
Resumo: | We solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra associated with the quantum groups U(q)(X(n)) for X(n) = A1, B(n), C(n) and D(n). The tool is a modified version of the coordinate Bethe ansatz through a suitable choice of the Bethe states which give to all models the same status relative to their diagonalization. All these models have equivalent spectra up to degeneracies and the spectra of the lower-dimensional representations are contained in the higher-dimensional ones. Periodic boundary conditions, free boundary conditions and closed nonlocal boundary conditions are considered. Periodic boundary conditions, unlike free boundary conditions, break quantum group invariance. For closed nonlocal cases the models are quantum group invariant as well as periodic in a certain sense. |
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Repositório Institucional da UNESP |
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Bethe ansatz solutions for temperley-lieb quantum spin chainsWe solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra associated with the quantum groups U(q)(X(n)) for X(n) = A1, B(n), C(n) and D(n). The tool is a modified version of the coordinate Bethe ansatz through a suitable choice of the Bethe states which give to all models the same status relative to their diagonalization. All these models have equivalent spectra up to degeneracies and the spectra of the lower-dimensional representations are contained in the higher-dimensional ones. Periodic boundary conditions, free boundary conditions and closed nonlocal boundary conditions are considered. Periodic boundary conditions, unlike free boundary conditions, break quantum group invariance. For closed nonlocal cases the models are quantum group invariant as well as periodic in a certain sense.Universidade Estadual Paulista UNESP Faculdade de Ciencias Departamento de Fisica, Caixa Postal 473, CEP 17033-360 Bauru, SPUniversidade Estadual Paulista UNESP Faculdade de Ciencias Departamento de Fisica, Caixa Postal 473, CEP 17033-360 Bauru, SPUniversidade Estadual Paulista (UNESP)Ghiotto, R. C.T. [UNESP]Malvezzi, A. L. [UNESP]2022-04-28T19:55:04Z2022-04-28T19:55:04Z2000-08-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3395-3425http://dx.doi.org/10.1142/S0217751X00001245International Journal of Modern Physics A, v. 15, n. 21, p. 3395-3425, 2000.0217-751Xhttp://hdl.handle.net/11449/22418910.1142/S0217751X000012452-s2.0-0034692086Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Modern Physics Ainfo:eu-repo/semantics/openAccess2024-04-25T17:39:52Zoai:repositorio.unesp.br:11449/224189Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:15:52.830503Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
title |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
spellingShingle |
Bethe ansatz solutions for temperley-lieb quantum spin chains Ghiotto, R. C.T. [UNESP] |
title_short |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
title_full |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
title_fullStr |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
title_full_unstemmed |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
title_sort |
Bethe ansatz solutions for temperley-lieb quantum spin chains |
author |
Ghiotto, R. C.T. [UNESP] |
author_facet |
Ghiotto, R. C.T. [UNESP] Malvezzi, A. L. [UNESP] |
author_role |
author |
author2 |
Malvezzi, A. L. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Ghiotto, R. C.T. [UNESP] Malvezzi, A. L. [UNESP] |
description |
We solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra associated with the quantum groups U(q)(X(n)) for X(n) = A1, B(n), C(n) and D(n). The tool is a modified version of the coordinate Bethe ansatz through a suitable choice of the Bethe states which give to all models the same status relative to their diagonalization. All these models have equivalent spectra up to degeneracies and the spectra of the lower-dimensional representations are contained in the higher-dimensional ones. Periodic boundary conditions, free boundary conditions and closed nonlocal boundary conditions are considered. Periodic boundary conditions, unlike free boundary conditions, break quantum group invariance. For closed nonlocal cases the models are quantum group invariant as well as periodic in a certain sense. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-08-20 2022-04-28T19:55:04Z 2022-04-28T19:55:04Z |
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/10.1142/S0217751X00001245 International Journal of Modern Physics A, v. 15, n. 21, p. 3395-3425, 2000. 0217-751X http://hdl.handle.net/11449/224189 10.1142/S0217751X00001245 2-s2.0-0034692086 |
url |
http://dx.doi.org/10.1142/S0217751X00001245 http://hdl.handle.net/11449/224189 |
identifier_str_mv |
International Journal of Modern Physics A, v. 15, n. 21, p. 3395-3425, 2000. 0217-751X 10.1142/S0217751X00001245 2-s2.0-0034692086 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Modern Physics A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
3395-3425 |
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_ |
1808128913377853440 |