Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas

Detalhes bibliográficos
Autor(a) principal: Gusmao, Miguel Angelo Cavalheiro
Data de Publicação: 1987
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103628
Resumo: We present a simple approximation scheme for the solution of the integral equations resulting from the Bethe-ansatz diagonalization of the one-dimensional Fermi gas with ô-function attraction. These equations arise for the Hubbard model with attractive interaction in the limit of weak coupling and low density. We obtain the ground-state energy as a function of coupling and density in very good agreement with numerical solutions, as well as a value for the parameter determining the gap in the magnetic excitation spectrum which strongly supports a conjecture of Larkin and Sak.
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spelling Gusmao, Miguel Angelo Cavalheiro2014-09-23T02:12:27Z19870163-1829http://hdl.handle.net/10183/103628000112846We present a simple approximation scheme for the solution of the integral equations resulting from the Bethe-ansatz diagonalization of the one-dimensional Fermi gas with ô-function attraction. These equations arise for the Hubbard model with attractive interaction in the limit of weak coupling and low density. We obtain the ground-state energy as a function of coupling and density in very good agreement with numerical solutions, as well as a value for the parameter determining the gap in the magnetic excitation spectrum which strongly supports a conjecture of Larkin and Sak.application/pdfengPhysical review. B, Condensed matter. New York. Vol. 35, no. 4 (Feb. 1987), p. 1682-1686Física da matéria condensadaSistemas de férmionsSimple approximation for the bethe ansatz solution of the one-dimensional fermi gasEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000112846.pdf000112846.pdfTexto completo (inglês)application/pdf476060http://www.lume.ufrgs.br/bitstream/10183/103628/1/000112846.pdf35a21c3245d482b5490318224199ccbfMD51TEXT000112846.pdf.txt000112846.pdf.txtExtracted Texttext/plain16325http://www.lume.ufrgs.br/bitstream/10183/103628/2/000112846.pdf.txtb0da2cb8a441412a5fbaa646aae0aec2MD52THUMBNAIL000112846.pdf.jpg000112846.pdf.jpgGenerated Thumbnailimage/jpeg1925http://www.lume.ufrgs.br/bitstream/10183/103628/3/000112846.pdf.jpgf327dfc88106fc10914fc1c758fde0cdMD5310183/1036282018-10-05 08:50:34.064oai:www.lume.ufrgs.br:10183/103628Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-05T11:50:34Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
title Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
spellingShingle Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
Gusmao, Miguel Angelo Cavalheiro
Física da matéria condensada
Sistemas de férmions
title_short Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
title_full Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
title_fullStr Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
title_full_unstemmed Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
title_sort Simple approximation for the bethe ansatz solution of the one-dimensional fermi gas
author Gusmao, Miguel Angelo Cavalheiro
author_facet Gusmao, Miguel Angelo Cavalheiro
author_role author
dc.contributor.author.fl_str_mv Gusmao, Miguel Angelo Cavalheiro
dc.subject.por.fl_str_mv Física da matéria condensada
Sistemas de férmions
topic Física da matéria condensada
Sistemas de férmions
description We present a simple approximation scheme for the solution of the integral equations resulting from the Bethe-ansatz diagonalization of the one-dimensional Fermi gas with ô-function attraction. These equations arise for the Hubbard model with attractive interaction in the limit of weak coupling and low density. We obtain the ground-state energy as a function of coupling and density in very good agreement with numerical solutions, as well as a value for the parameter determining the gap in the magnetic excitation spectrum which strongly supports a conjecture of Larkin and Sak.
publishDate 1987
dc.date.issued.fl_str_mv 1987
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. B, Condensed matter. New York. Vol. 35, no. 4 (Feb. 1987), p. 1682-1686
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