Cooper pair dispersion relation for weak to strong coupling
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/10.1103/PhysRevB.62.8671 http://hdl.handle.net/11449/224169 |
Resumo: | Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pair wise residual interfermion interaction. Also considered are Cooper pairs (CP's) with nonzero center-of-mass momentum (CMM) and their binding energy is expanded analytically in powers of the CMM up to quadratic terms. A Fermi-sea-dependent linear term in the CMM dominates the pair excitation energy in weak coupling (also called the BCS regime) while the more familiar quadratic term prevails in strong coupling (the Bose regime). The crossover, though strictly unrelated to BCS theory per se, is studied numerically as it is expected to play a central role in a model of superconductivity as a Bose-Einstein condensation of CPs where the transition temperature vanishes for all dimensionality d≤2 for quadratic dispersion, but is nonzero for all d≥1 for linear dispersion. |
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Repositório Institucional da UNESP |
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Cooper pair dispersion relation for weak to strong couplingCooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pair wise residual interfermion interaction. Also considered are Cooper pairs (CP's) with nonzero center-of-mass momentum (CMM) and their binding energy is expanded analytically in powers of the CMM up to quadratic terms. A Fermi-sea-dependent linear term in the CMM dominates the pair excitation energy in weak coupling (also called the BCS regime) while the more familiar quadratic term prevails in strong coupling (the Bose regime). The crossover, though strictly unrelated to BCS theory per se, is studied numerically as it is expected to play a central role in a model of superconductivity as a Bose-Einstein condensation of CPs where the transition temperature vanishes for all dimensionality d≤2 for quadratic dispersion, but is nonzero for all d≥1 for linear dispersion.Instituto de Física Teórica Universidade Estadual Paulista, 01405-900 São Paulo, SPDepartament de Física Universitat de les Illes Balears, 07071 Palma de MallorcaInstituto de Física Universidad Nacional Autónoma de México, 01000 México, DFInstituto de Investigaciones en Materiales Universidad Nacional Autónoma de México, 04510 México, DFPESTIC Secretaría Académica & CINVESTAV IPN, 04430 México DFInstituto de Física Teórica Universidade Estadual Paulista, 01405-900 São Paulo, SPUniversidade Estadual Paulista (UNESP)Universitat de les Illes BalearsUniversidad Nacional Autónoma de MéxicoIPNAdhikari, Sadhan K. [UNESP]Casas, M.Puente, A.Rigo, A.Fortes, M.Solís, M. A.de Llano, M.Valladares, Ariel A.Rojo, O.2022-04-28T19:55:00Z2022-04-28T19:55:00Z2000-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article8671-8674http://dx.doi.org/10.1103/PhysRevB.62.8671Physical Review B - Condensed Matter and Materials Physics, v. 62, n. 13, p. 8671-8674, 2000.0163-1829http://hdl.handle.net/11449/22416910.1103/PhysRevB.62.86712-s2.0-0034289585Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review B - Condensed Matter and Materials Physicsinfo:eu-repo/semantics/openAccess2022-04-28T19:55:00Zoai:repositorio.unesp.br:11449/224169Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:56:33.639633Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Cooper pair dispersion relation for weak to strong coupling |
title |
Cooper pair dispersion relation for weak to strong coupling |
spellingShingle |
Cooper pair dispersion relation for weak to strong coupling Adhikari, Sadhan K. [UNESP] |
title_short |
Cooper pair dispersion relation for weak to strong coupling |
title_full |
Cooper pair dispersion relation for weak to strong coupling |
title_fullStr |
Cooper pair dispersion relation for weak to strong coupling |
title_full_unstemmed |
Cooper pair dispersion relation for weak to strong coupling |
title_sort |
Cooper pair dispersion relation for weak to strong coupling |
author |
Adhikari, Sadhan K. [UNESP] |
author_facet |
Adhikari, Sadhan K. [UNESP] Casas, M. Puente, A. Rigo, A. Fortes, M. Solís, M. A. de Llano, M. Valladares, Ariel A. Rojo, O. |
author_role |
author |
author2 |
Casas, M. Puente, A. Rigo, A. Fortes, M. Solís, M. A. de Llano, M. Valladares, Ariel A. Rojo, O. |
author2_role |
author author author author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universitat de les Illes Balears Universidad Nacional Autónoma de México IPN |
dc.contributor.author.fl_str_mv |
Adhikari, Sadhan K. [UNESP] Casas, M. Puente, A. Rigo, A. Fortes, M. Solís, M. A. de Llano, M. Valladares, Ariel A. Rojo, O. |
description |
Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pair wise residual interfermion interaction. Also considered are Cooper pairs (CP's) with nonzero center-of-mass momentum (CMM) and their binding energy is expanded analytically in powers of the CMM up to quadratic terms. A Fermi-sea-dependent linear term in the CMM dominates the pair excitation energy in weak coupling (also called the BCS regime) while the more familiar quadratic term prevails in strong coupling (the Bose regime). The crossover, though strictly unrelated to BCS theory per se, is studied numerically as it is expected to play a central role in a model of superconductivity as a Bose-Einstein condensation of CPs where the transition temperature vanishes for all dimensionality d≤2 for quadratic dispersion, but is nonzero for all d≥1 for linear dispersion. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-10-01 2022-04-28T19:55:00Z 2022-04-28T19:55:00Z |
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/10.1103/PhysRevB.62.8671 Physical Review B - Condensed Matter and Materials Physics, v. 62, n. 13, p. 8671-8674, 2000. 0163-1829 http://hdl.handle.net/11449/224169 10.1103/PhysRevB.62.8671 2-s2.0-0034289585 |
url |
http://dx.doi.org/10.1103/PhysRevB.62.8671 http://hdl.handle.net/11449/224169 |
identifier_str_mv |
Physical Review B - Condensed Matter and Materials Physics, v. 62, n. 13, p. 8671-8674, 2000. 0163-1829 10.1103/PhysRevB.62.8671 2-s2.0-0034289585 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review B - Condensed Matter and Materials Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
8671-8674 |
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_ |
1808128724896317440 |