Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model

Detalhes bibliográficos
Autor(a) principal: Souza, André Maurício Conceição de
Data de Publicação: 2001
Outros Autores: Macêdo, Cláudio Andrade, Azevedo, L. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://link.aps.org/doi/10.1103/PhysRevB.64.184441
https://ri.ufs.br/handle/riufs/465
Resumo: In order to contribute to understand well the finite-temperature properties of the Falicov-Kimball model, we study the temperature dependence of the specific heat, internal energy, entropy, and mean square fluctuation of the difference between the ion and electron numbers, and of the correlation functions of the one-dimensional half-filled-band Falicov-Kimball model. For this purpose we used the method of small-cluster exact-diagonalization calculations with the application of the grand canonical ensemble and of extrapolation techniques to the infinite chain. Our results show that the examined Falicov-Kimball model exhibits behavior of alternate electron-ion short-range ordering at low temperature, and gradual metal-insulator transition at high temperature, but, does not exhibit the crossing point of the specific heat curves, characteristic of the Hubbard model.
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spelling Souza, André Maurício Conceição deMacêdo, Cláudio AndradeAzevedo, L. G.2013-03-19T00:22:07Z2013-03-19T00:22:07Z2001-10SOUZA, A. M. C.; MACEDO, C. A.; AZEVEDO, L. G. Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model. Physical Review B, New York, v. 64, n. 18, out. 2001. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevB.64.184441>. Acesso em: 18 mar. 2013.1550-235Xhttp://link.aps.org/doi/10.1103/PhysRevB.64.184441https://ri.ufs.br/handle/riufs/465Copyrights American Physical SocietyIn order to contribute to understand well the finite-temperature properties of the Falicov-Kimball model, we study the temperature dependence of the specific heat, internal energy, entropy, and mean square fluctuation of the difference between the ion and electron numbers, and of the correlation functions of the one-dimensional half-filled-band Falicov-Kimball model. For this purpose we used the method of small-cluster exact-diagonalization calculations with the application of the grand canonical ensemble and of extrapolation techniques to the infinite chain. Our results show that the examined Falicov-Kimball model exhibits behavior of alternate electron-ion short-range ordering at low temperature, and gradual metal-insulator transition at high temperature, but, does not exhibit the crossing point of the specific heat curves, characteristic of the Hubbard model.American Physical SocietyModelo de Falicov-KimballModelo de HubbardThermodynamics of the one-dimensional half-filled-band Falicov-Kimball modelinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTHUMBNAILThermodynamicsFalicov-Kimball.pdf.jpgThermodynamicsFalicov-Kimball.pdf.jpgGenerated Thumbnailimage/jpeg1697https://ri.ufs.br/jspui/bitstream/riufs/465/4/ThermodynamicsFalicov-Kimball.pdf.jpgacd32d834e1db221bf26161c0fe73d6fMD54ORIGINALThermodynamicsFalicov-Kimball.pdfThermodynamicsFalicov-Kimball.pdfapplication/pdf72735https://ri.ufs.br/jspui/bitstream/riufs/465/1/ThermodynamicsFalicov-Kimball.pdfabc7bc1484490f838a4737250a86097dMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://ri.ufs.br/jspui/bitstream/riufs/465/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52TEXTThermodynamicsFalicov-Kimball.pdf.txtThermodynamicsFalicov-Kimball.pdf.txtExtracted texttext/plain21565https://ri.ufs.br/jspui/bitstream/riufs/465/3/ThermodynamicsFalicov-Kimball.pdf.txt162213557fa1b8d3c9060c892f8d8386MD53riufs/4652013-04-18 18:29:50.1oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2013-04-18T21:29:50Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
title Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
spellingShingle Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
Souza, André Maurício Conceição de
Modelo de Falicov-Kimball
Modelo de Hubbard
title_short Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
title_full Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
title_fullStr Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
title_full_unstemmed Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
title_sort Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model
author Souza, André Maurício Conceição de
author_facet Souza, André Maurício Conceição de
Macêdo, Cláudio Andrade
Azevedo, L. G.
author_role author
author2 Macêdo, Cláudio Andrade
Azevedo, L. G.
author2_role author
author
dc.contributor.author.fl_str_mv Souza, André Maurício Conceição de
Macêdo, Cláudio Andrade
Azevedo, L. G.
dc.subject.por.fl_str_mv Modelo de Falicov-Kimball
Modelo de Hubbard
topic Modelo de Falicov-Kimball
Modelo de Hubbard
description In order to contribute to understand well the finite-temperature properties of the Falicov-Kimball model, we study the temperature dependence of the specific heat, internal energy, entropy, and mean square fluctuation of the difference between the ion and electron numbers, and of the correlation functions of the one-dimensional half-filled-band Falicov-Kimball model. For this purpose we used the method of small-cluster exact-diagonalization calculations with the application of the grand canonical ensemble and of extrapolation techniques to the infinite chain. Our results show that the examined Falicov-Kimball model exhibits behavior of alternate electron-ion short-range ordering at low temperature, and gradual metal-insulator transition at high temperature, but, does not exhibit the crossing point of the specific heat curves, characteristic of the Hubbard model.
publishDate 2001
dc.date.issued.fl_str_mv 2001-10
dc.date.accessioned.fl_str_mv 2013-03-19T00:22:07Z
dc.date.available.fl_str_mv 2013-03-19T00:22:07Z
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.citation.fl_str_mv SOUZA, A. M. C.; MACEDO, C. A.; AZEVEDO, L. G. Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model. Physical Review B, New York, v. 64, n. 18, out. 2001. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevB.64.184441>. Acesso em: 18 mar. 2013.
dc.identifier.uri.fl_str_mv http://link.aps.org/doi/10.1103/PhysRevB.64.184441
https://ri.ufs.br/handle/riufs/465
dc.identifier.issn.none.fl_str_mv 1550-235X
dc.identifier.license.pt_BR.fl_str_mv Copyrights American Physical Society
identifier_str_mv SOUZA, A. M. C.; MACEDO, C. A.; AZEVEDO, L. G. Thermodynamics of the one-dimensional half-filled-band Falicov-Kimball model. Physical Review B, New York, v. 64, n. 18, out. 2001. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevB.64.184441>. Acesso em: 18 mar. 2013.
1550-235X
Copyrights American Physical Society
url http://link.aps.org/doi/10.1103/PhysRevB.64.184441
https://ri.ufs.br/handle/riufs/465
dc.language.iso.fl_str_mv eng
language eng
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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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reponame_str Repositório Institucional da UFS
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