Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008 |
Resumo: | The Heisenberg XXZ model is a chain model with nearest-neighbor interactions. Its thermodynamics is exactly obtained via Bethe ansatz. Recently, we developed a method to derive the high-temperature expansion of the grand potential per site of translationally invariant chain models, with periodic boundary conditions. Here we apply this approach to the XXZ model with periodic boundary conditions for the Ising limit case (t = 0) and the free fermion case (delta = 0 and h = 0), obtaining results in agreement with the literature. In this new way of obtaining the coefficients of the high-temperature expansion of the grand potential, the coefficients are derived from an auxiliary function written only in terms of open connected sub-chains. |
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Brazilian Journal of Physics |
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Thermodynamics of the limiting cases of the XXZ model without Bethe ansatzThe Heisenberg XXZ model is a chain model with nearest-neighbor interactions. Its thermodynamics is exactly obtained via Bethe ansatz. Recently, we developed a method to derive the high-temperature expansion of the grand potential per site of translationally invariant chain models, with periodic boundary conditions. Here we apply this approach to the XXZ model with periodic boundary conditions for the Ising limit case (t = 0) and the free fermion case (delta = 0 and h = 0), obtaining results in agreement with the literature. In this new way of obtaining the coefficients of the high-temperature expansion of the grand potential, the coefficients are derived from an auxiliary function written only in terms of open connected sub-chains.Sociedade Brasileira de Física2001-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008Brazilian Journal of Physics v.31 n.4 2001reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332001000400008info:eu-repo/semantics/openAccessRojas,OnofreSouza,S.M. deCorrêa Silva,E.V.Thomaz,M.T.eng2002-04-23T00:00:00Zoai:scielo:S0103-97332001000400008Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2002-04-23T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
title |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
spellingShingle |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz Rojas,Onofre |
title_short |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
title_full |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
title_fullStr |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
title_full_unstemmed |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
title_sort |
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz |
author |
Rojas,Onofre |
author_facet |
Rojas,Onofre Souza,S.M. de Corrêa Silva,E.V. Thomaz,M.T. |
author_role |
author |
author2 |
Souza,S.M. de Corrêa Silva,E.V. Thomaz,M.T. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Rojas,Onofre Souza,S.M. de Corrêa Silva,E.V. Thomaz,M.T. |
description |
The Heisenberg XXZ model is a chain model with nearest-neighbor interactions. Its thermodynamics is exactly obtained via Bethe ansatz. Recently, we developed a method to derive the high-temperature expansion of the grand potential per site of translationally invariant chain models, with periodic boundary conditions. Here we apply this approach to the XXZ model with periodic boundary conditions for the Ising limit case (t = 0) and the free fermion case (delta = 0 and h = 0), obtaining results in agreement with the literature. In this new way of obtaining the coefficients of the high-temperature expansion of the grand potential, the coefficients are derived from an auxiliary function written only in terms of open connected sub-chains. |
publishDate |
2001 |
dc.date.none.fl_str_mv |
2001-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332001000400008 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
Brazilian Journal of Physics v.31 n.4 2001 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734859470766080 |