Ground state of the impurity Anderson model revisited: A projector operator solution

Autores
Roura Bas, Pablo Gines; Hamad, Ignacio Javier; Anda, E.V.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By means of a projector operator formalism we study the ground state properties of the Anderson Impurity Hamiltonian. The non-perturbative treatment of the model agrees with the previous one, obtained by Inagaki [Prog. Theor. Phys. 62, 1441 (1979)] by means of a perturbation expansion with respect the hybridization term. We go beyond the Inagaki's formalism to the next leading order. It provides a very accurate calculation of the energy spectrum in the total spin ST=0 sector and, in particular, the ground state energy in the whole parameter space. For a one body spinless system, the dependence of the ground state energy as a function of the impurity level obtained by this procedure remarkably agrees with analytical results. For the many body case the occupancy of the impurity as a function of the parameters is studied and it agrees with the corresponding one obtained by using the Bethe ansatz and the Numerical Renormalization Group solution of the Hamiltonian. The magnetization and susceptibility of the impurity is analyzed by studying the response of the system to an external magnetic field, from which it is possible to extract the Kondo temperature. The dependence of the Kondo scale with the parameters of the model is in excellent agreement with well-known results.
Fil: Roura Bas, Pablo Gines. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Anda, E.V.. Pontifícia Universidade Católica do Rio de Janeiro PUC-Rio. Centro de Estudos em Telecomunicaciones. Laboratorio de Semiconductores; Brasil
Materia
Anderson Hamiltonian
Anderson Impurity Model
Ground State
Kondo Effect
Projector Operator Formalism
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:11336/37482
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/37482
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Ground state of the impurity Anderson model revisited: A projector operator solutionRoura Bas, Pablo GinesHamad, Ignacio JavierAnda, E.V.Anderson HamiltonianAnderson Impurity ModelGround StateKondo EffectProjector Operator Formalismhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1By means of a projector operator formalism we study the ground state properties of the Anderson Impurity Hamiltonian. The non-perturbative treatment of the model agrees with the previous one, obtained by Inagaki [Prog. Theor. Phys. 62, 1441 (1979)] by means of a perturbation expansion with respect the hybridization term. We go beyond the Inagaki's formalism to the next leading order. It provides a very accurate calculation of the energy spectrum in the total spin ST=0 sector and, in particular, the ground state energy in the whole parameter space. For a one body spinless system, the dependence of the ground state energy as a function of the impurity level obtained by this procedure remarkably agrees with analytical results. For the many body case the occupancy of the impurity as a function of the parameters is studied and it agrees with the corresponding one obtained by using the Bethe ansatz and the Numerical Renormalization Group solution of the Hamiltonian. The magnetization and susceptibility of the impurity is analyzed by studying the response of the system to an external magnetic field, from which it is possible to extract the Kondo temperature. The dependence of the Kondo scale with the parameters of the model is in excellent agreement with well-known results.Fil: Roura Bas, Pablo Gines. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Anda, E.V.. Pontifícia Universidade Católica do Rio de Janeiro PUC-Rio. Centro de Estudos em Telecomunicaciones. Laboratorio de Semiconductores; BrasilWiley VCH Verlag2015-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37482Roura Bas, Pablo Gines; Hamad, Ignacio Javier; Anda, E.V.; Ground state of the impurity Anderson model revisited: A projector operator solution; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 2; 2-2015; 421-4300370-1972CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/pssb.201451520/abstractinfo:eu-repo/semantics/altIdentifier/doi/10.1002/pssb.201451520info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T11:13:21Zoai:ri.conicet.gov.ar:11336/37482instacron: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:34982025-09-17 11:13:21.84CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Ground state of the impurity Anderson model revisited: A projector operator solution
title Ground state of the impurity Anderson model revisited: A projector operator solution
spellingShingle Ground state of the impurity Anderson model revisited: A projector operator solution
Roura Bas, Pablo Gines
Anderson Hamiltonian
Anderson Impurity Model
Ground State
Kondo Effect
Projector Operator Formalism
title_short Ground state of the impurity Anderson model revisited: A projector operator solution
title_full Ground state of the impurity Anderson model revisited: A projector operator solution
title_fullStr Ground state of the impurity Anderson model revisited: A projector operator solution
title_full_unstemmed Ground state of the impurity Anderson model revisited: A projector operator solution
title_sort Ground state of the impurity Anderson model revisited: A projector operator solution
dc.creator.none.fl_str_mv Roura Bas, Pablo Gines
Hamad, Ignacio Javier
Anda, E.V.
author Roura Bas, Pablo Gines
author_facet Roura Bas, Pablo Gines
Hamad, Ignacio Javier
Anda, E.V.
author_role author
author2 Hamad, Ignacio Javier
Anda, E.V.
author2_role author
author
dc.subject.none.fl_str_mv Anderson Hamiltonian
Anderson Impurity Model
Ground State
Kondo Effect
Projector Operator Formalism
topic Anderson Hamiltonian
Anderson Impurity Model
Ground State
Kondo Effect
Projector Operator Formalism
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv By means of a projector operator formalism we study the ground state properties of the Anderson Impurity Hamiltonian. The non-perturbative treatment of the model agrees with the previous one, obtained by Inagaki [Prog. Theor. Phys. 62, 1441 (1979)] by means of a perturbation expansion with respect the hybridization term. We go beyond the Inagaki's formalism to the next leading order. It provides a very accurate calculation of the energy spectrum in the total spin ST=0 sector and, in particular, the ground state energy in the whole parameter space. For a one body spinless system, the dependence of the ground state energy as a function of the impurity level obtained by this procedure remarkably agrees with analytical results. For the many body case the occupancy of the impurity as a function of the parameters is studied and it agrees with the corresponding one obtained by using the Bethe ansatz and the Numerical Renormalization Group solution of the Hamiltonian. The magnetization and susceptibility of the impurity is analyzed by studying the response of the system to an external magnetic field, from which it is possible to extract the Kondo temperature. The dependence of the Kondo scale with the parameters of the model is in excellent agreement with well-known results.
Fil: Roura Bas, Pablo Gines. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Hamad, Ignacio Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Anda, E.V.. Pontifícia Universidade Católica do Rio de Janeiro PUC-Rio. Centro de Estudos em Telecomunicaciones. Laboratorio de Semiconductores; Brasil
description By means of a projector operator formalism we study the ground state properties of the Anderson Impurity Hamiltonian. The non-perturbative treatment of the model agrees with the previous one, obtained by Inagaki [Prog. Theor. Phys. 62, 1441 (1979)] by means of a perturbation expansion with respect the hybridization term. We go beyond the Inagaki's formalism to the next leading order. It provides a very accurate calculation of the energy spectrum in the total spin ST=0 sector and, in particular, the ground state energy in the whole parameter space. For a one body spinless system, the dependence of the ground state energy as a function of the impurity level obtained by this procedure remarkably agrees with analytical results. For the many body case the occupancy of the impurity as a function of the parameters is studied and it agrees with the corresponding one obtained by using the Bethe ansatz and the Numerical Renormalization Group solution of the Hamiltonian. The magnetization and susceptibility of the impurity is analyzed by studying the response of the system to an external magnetic field, from which it is possible to extract the Kondo temperature. The dependence of the Kondo scale with the parameters of the model is in excellent agreement with well-known results.
publishDate 2015
dc.date.none.fl_str_mv 2015-02
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/11336/37482
Roura Bas, Pablo Gines; Hamad, Ignacio Javier; Anda, E.V.; Ground state of the impurity Anderson model revisited: A projector operator solution; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 2; 2-2015; 421-430
0370-1972
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37482
identifier_str_mv Roura Bas, Pablo Gines; Hamad, Ignacio Javier; Anda, E.V.; Ground state of the impurity Anderson model revisited: A projector operator solution; Wiley VCH Verlag; Physica Status Solidi B-basic Research; 252; 2; 2-2015; 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/url/http://onlinelibrary.wiley.com/doi/10.1002/pssb.201451520/abstract
info:eu-repo/semantics/altIdentifier/doi/10.1002/pssb.201451520
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
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
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score 13.001348

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