Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz

Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz

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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Main Authors: Rojas,Onofre, Souza,S.M. de, Corrêa Silva,E.V., Thomaz,M.T.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2001
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008
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spelling oai:scielo:S0103-973320010004000082002-04-23Thermodynamics of the limiting cases of the XXZ model without Bethe ansatzRojas,OnofreSouza,S.M. deCorrêa Silva,E.V.Thomaz,M.T.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.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.31 n.4 20012001-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008en10.1590/S0103-97332001000400008
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Rojas,Onofre
Souza,S.M. de
Corrêa Silva,E.V.
Thomaz,M.T.
spellingShingle Rojas,Onofre
Souza,S.M. de
Corrêa Silva,E.V.
Thomaz,M.T.
Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz
author_facet Rojas,Onofre
Souza,S.M. de
Corrêa Silva,E.V.
Thomaz,M.T.
author_sort Rojas,Onofre
title Thermodynamics of the limiting cases of the XXZ model without Bethe ansatz
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
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.
publisher Sociedade Brasileira de Física
publishDate 2001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000400008
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AT correasilvaev thermodynamicsofthelimitingcasesofthexxzmodelwithoutbetheansatz
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