Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model

Detalhes bibliográficos
Autor(a) principal: Ferreira, J. V.B.
Data de Publicação: 2012
Outros Autores: Ferreira, A. I.I., Leite, A. H., Líbero, V. L. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmmm.2011.10.013
http://hdl.handle.net/11449/219757
Resumo: The Numerical Renormalization Group (NRG) is applied to diagonalize a two-channel Anderson model describing a local magnetic impurity embedded in a fermionic bath. In spite of the difficulty in computing the specific heat using NRG, the interleaving discretization and multi-step iterative transformation virtually eliminate the numerical oscillations introduced by the logarithmic discretization of the conduction band. These allow to cover uniformly a large range of temperature, from the top of the band to a very small fraction of the bandwidth. This is relevant in describing, for instance, the presence of a low temperature Kondo resonance together with a high temperature Schottky peak, as well to cover Fermi and non-Fermi liquid regimes, like in the recent studied Ce1 -x LaxNi9Ge4 family. We highlight the importance in describing the Schottky peak to define the number of degrees of freedom of the local levels, in order to correctly define the model to describe a given compound. © 2011 Elsevier B.V. All rights reserved.
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spelling Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson modelHeavy fermionKondo effectLocal moment in compound and alloyMulti-channel Anderson modelNumerical Renormalization GroupSpecific heatTheories and models of many electron systemsThe Numerical Renormalization Group (NRG) is applied to diagonalize a two-channel Anderson model describing a local magnetic impurity embedded in a fermionic bath. In spite of the difficulty in computing the specific heat using NRG, the interleaving discretization and multi-step iterative transformation virtually eliminate the numerical oscillations introduced by the logarithmic discretization of the conduction band. These allow to cover uniformly a large range of temperature, from the top of the band to a very small fraction of the bandwidth. This is relevant in describing, for instance, the presence of a low temperature Kondo resonance together with a high temperature Schottky peak, as well to cover Fermi and non-Fermi liquid regimes, like in the recent studied Ce1 -x LaxNi9Ge4 family. We highlight the importance in describing the Schottky peak to define the number of degrees of freedom of the local levels, in order to correctly define the model to describe a given compound. © 2011 Elsevier B.V. All rights reserved.Fundação Universidade Federal de Mato Grosso Do sulInstituto de Física de São Carlos SP Universidade Estadual de São PauloInstituto de Física de São Carlos SP Universidade Estadual de São PauloUniversidade Federal de Mato Grosso do Sul (UFMS)Universidade Estadual Paulista (UNESP)Ferreira, J. V.B.Ferreira, A. I.I.Leite, A. H.Líbero, V. L. [UNESP]2022-04-28T18:57:20Z2022-04-28T18:57:20Z2012-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1011-1016http://dx.doi.org/10.1016/j.jmmm.2011.10.013Journal of Magnetism and Magnetic Materials, v. 324, n. 6, p. 1011-1016, 2012.0304-8853http://hdl.handle.net/11449/21975710.1016/j.jmmm.2011.10.0132-s2.0-84855430440Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Magnetism and Magnetic Materialsinfo:eu-repo/semantics/openAccess2022-04-28T18:57:20Zoai:repositorio.unesp.br:11449/219757Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T18:57:20Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
title Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
spellingShingle Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
Ferreira, J. V.B.
Heavy fermion
Kondo effect
Local moment in compound and alloy
Multi-channel Anderson model
Numerical Renormalization Group
Specific heat
Theories and models of many electron systems
title_short Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
title_full Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
title_fullStr Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
title_full_unstemmed Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
title_sort Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
author Ferreira, J. V.B.
author_facet Ferreira, J. V.B.
Ferreira, A. I.I.
Leite, A. H.
Líbero, V. L. [UNESP]
author_role author
author2 Ferreira, A. I.I.
Leite, A. H.
Líbero, V. L. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Federal de Mato Grosso do Sul (UFMS)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Ferreira, J. V.B.
Ferreira, A. I.I.
Leite, A. H.
Líbero, V. L. [UNESP]
dc.subject.por.fl_str_mv Heavy fermion
Kondo effect
Local moment in compound and alloy
Multi-channel Anderson model
Numerical Renormalization Group
Specific heat
Theories and models of many electron systems
topic Heavy fermion
Kondo effect
Local moment in compound and alloy
Multi-channel Anderson model
Numerical Renormalization Group
Specific heat
Theories and models of many electron systems
description The Numerical Renormalization Group (NRG) is applied to diagonalize a two-channel Anderson model describing a local magnetic impurity embedded in a fermionic bath. In spite of the difficulty in computing the specific heat using NRG, the interleaving discretization and multi-step iterative transformation virtually eliminate the numerical oscillations introduced by the logarithmic discretization of the conduction band. These allow to cover uniformly a large range of temperature, from the top of the band to a very small fraction of the bandwidth. This is relevant in describing, for instance, the presence of a low temperature Kondo resonance together with a high temperature Schottky peak, as well to cover Fermi and non-Fermi liquid regimes, like in the recent studied Ce1 -x LaxNi9Ge4 family. We highlight the importance in describing the Schottky peak to define the number of degrees of freedom of the local levels, in order to correctly define the model to describe a given compound. © 2011 Elsevier B.V. All rights reserved.
publishDate 2012
dc.date.none.fl_str_mv 2012-03-01
2022-04-28T18:57:20Z
2022-04-28T18:57:20Z
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/10.1016/j.jmmm.2011.10.013
Journal of Magnetism and Magnetic Materials, v. 324, n. 6, p. 1011-1016, 2012.
0304-8853
http://hdl.handle.net/11449/219757
10.1016/j.jmmm.2011.10.013
2-s2.0-84855430440
url http://dx.doi.org/10.1016/j.jmmm.2011.10.013
http://hdl.handle.net/11449/219757
identifier_str_mv Journal of Magnetism and Magnetic Materials, v. 324, n. 6, p. 1011-1016, 2012.
0304-8853
10.1016/j.jmmm.2011.10.013
2-s2.0-84855430440
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Magnetism and Magnetic Materials
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1011-1016
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
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