Self-consistent hybridization expansions for static properties of the Anderson impurity model

Autores
Hamad, Ignacio Javier; Roura Bas, Pablo Gines; Aligia, Armando Ángel; Anda, Enrique V.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Building an effective Hamiltonian utilizing a projector-operatorprocedure, we derive an approximation based on a selfconsistenthybridization expansion to study the ground stateproperties of the Anderson Impurity model.We applied the approximationto the general case of finite Coulomb repulsionU, extending previous work with the same formalism in theinfinite-U case. The ground state energy and their related zerotemperature properties are accurately obtained in the case inwhich U is large enough, but still finite, as compared with the rest of energy scales involved in the model. The results for thevalence of the impurity are compared with exact results thatwe obtain from equations derived using the Bethe ansatz andwith a perturbative approach. The magnetization and magneticsusceptibility is also compared with Bethe ansatz results. Inorder to do this comparison, we also show how to regularizethe Bethe ansatz integral equations necessary to calculate theimpurity valence, for arbitrary values of the parameters.
Fil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
Fil: Roura Bas, Pablo Gines. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Aligia, Armando Ángel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Anda, Enrique V.. Pontificia Universidade Católica do Rio Grande do Sul; Brasil
Materia
Anderson
Kondo
Ground State
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/42801
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/42801
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Self-consistent hybridization expansions for static properties of the Anderson impurity modelHamad, Ignacio JavierRoura Bas, Pablo GinesAligia, Armando ÁngelAnda, Enrique V.AndersonKondoGround Statehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Building an effective Hamiltonian utilizing a projector-operatorprocedure, we derive an approximation based on a selfconsistenthybridization expansion to study the ground stateproperties of the Anderson Impurity model.We applied the approximationto the general case of finite Coulomb repulsionU, extending previous work with the same formalism in theinfinite-U case. The ground state energy and their related zerotemperature properties are accurately obtained in the case inwhich U is large enough, but still finite, as compared with the rest of energy scales involved in the model. The results for thevalence of the impurity are compared with exact results thatwe obtain from equations derived using the Bethe ansatz andwith a perturbative approach. The magnetization and magneticsusceptibility is also compared with Bethe ansatz results. Inorder to do this comparison, we also show how to regularizethe Bethe ansatz integral equations necessary to calculate theimpurity valence, for arbitrary values of the parameters.Fil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; ArgentinaFil: Roura Bas, Pablo Gines. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Aligia, Armando Ángel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; ArgentinaFil: Anda, Enrique V.. Pontificia Universidade Católica do Rio Grande do Sul; BrasilWiley VCH Verlag2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/42801Hamad, Ignacio Javier; Roura Bas, Pablo Gines; Aligia, Armando Ángel; Anda, Enrique V.; Self-consistent hybridization expansions for static properties of the Anderson impurity model; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 11-2015; 421-4300370-1972CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/pssb.201552414info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/pssb.201552414info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:07:14Zoai:ri.conicet.gov.ar:11336/42801instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:07:14.903CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Self-consistent hybridization expansions for static properties of the Anderson impurity model
title Self-consistent hybridization expansions for static properties of the Anderson impurity model
spellingShingle Self-consistent hybridization expansions for static properties of the Anderson impurity model
Hamad, Ignacio Javier
Anderson
Kondo
Ground State
title_short Self-consistent hybridization expansions for static properties of the Anderson impurity model
title_full Self-consistent hybridization expansions for static properties of the Anderson impurity model
title_fullStr Self-consistent hybridization expansions for static properties of the Anderson impurity model
title_full_unstemmed Self-consistent hybridization expansions for static properties of the Anderson impurity model
title_sort Self-consistent hybridization expansions for static properties of the Anderson impurity model
dc.creator.none.fl_str_mv Hamad, Ignacio Javier
Roura Bas, Pablo Gines
Aligia, Armando Ángel
Anda, Enrique V.
author Hamad, Ignacio Javier
author_facet Hamad, Ignacio Javier
Roura Bas, Pablo Gines
Aligia, Armando Ángel
Anda, Enrique V.
author_role author
author2 Roura Bas, Pablo Gines
Aligia, Armando Ángel
Anda, Enrique V.
author2_role author
author
author
dc.subject.none.fl_str_mv Anderson
Kondo
Ground State
topic Anderson
Kondo
Ground State
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Building an effective Hamiltonian utilizing a projector-operatorprocedure, we derive an approximation based on a selfconsistenthybridization expansion to study the ground stateproperties of the Anderson Impurity model.We applied the approximationto the general case of finite Coulomb repulsionU, extending previous work with the same formalism in theinfinite-U case. The ground state energy and their related zerotemperature properties are accurately obtained in the case inwhich U is large enough, but still finite, as compared with the rest of energy scales involved in the model. The results for thevalence of the impurity are compared with exact results thatwe obtain from equations derived using the Bethe ansatz andwith a perturbative approach. The magnetization and magneticsusceptibility is also compared with Bethe ansatz results. Inorder to do this comparison, we also show how to regularizethe Bethe ansatz integral equations necessary to calculate theimpurity valence, for arbitrary values of the parameters.
Fil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
Fil: Roura Bas, Pablo Gines. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Aligia, Armando Ángel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
Fil: Anda, Enrique V.. Pontificia Universidade Católica do Rio Grande do Sul; Brasil
description Building an effective Hamiltonian utilizing a projector-operatorprocedure, we derive an approximation based on a selfconsistenthybridization expansion to study the ground stateproperties of the Anderson Impurity model.We applied the approximationto the general case of finite Coulomb repulsionU, extending previous work with the same formalism in theinfinite-U case. The ground state energy and their related zerotemperature properties are accurately obtained in the case inwhich U is large enough, but still finite, as compared with the rest of energy scales involved in the model. The results for thevalence of the impurity are compared with exact results thatwe obtain from equations derived using the Bethe ansatz andwith a perturbative approach. The magnetization and magneticsusceptibility is also compared with Bethe ansatz results. Inorder to do this comparison, we also show how to regularizethe Bethe ansatz integral equations necessary to calculate theimpurity valence, for arbitrary values of the parameters.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/42801
Hamad, Ignacio Javier; Roura Bas, Pablo Gines; Aligia, Armando Ángel; Anda, Enrique V.; Self-consistent hybridization expansions for static properties of the Anderson impurity model; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 11-2015; 421-430
0370-1972
CONICET Digital
CONICET
url http://hdl.handle.net/11336/42801
identifier_str_mv Hamad, Ignacio Javier; Roura Bas, Pablo Gines; Aligia, Armando Ángel; Anda, Enrique V.; Self-consistent hybridization expansions for static properties of the Anderson impurity model; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 11-2015; 421-430
0370-1972
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/pssb.201552414
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/pssb.201552414
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley VCH Verlag
publisher.none.fl_str_mv Wiley VCH Verlag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842980319914885120
score 12.993085

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