Numerical Renormalization Group computation of temperature dependent specific heat for a two-channel Anderson model
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
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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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 |
|
_version_ |
1799964546521104384 |