The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory

Detalhes bibliográficos
Autor(a) principal: J. M. P. Carmelo
Data de Publicação: 2006
Outros Autores: L. M. Martelo, K. Penc
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://repositorio-aberto.up.pt/handle/10216/68609
Resumo: In this paper we show that the general finite-energy spectral-function expressions provided by the pseudofermion dynamical theory for the one-dimensional Hubbard model lead to the expected low-energy Tomonaga-Luttinger liquid correlation function expressions. Moreover, we use the former general expressions to derive correlation-function asymptotic expansions in space and time which go beyond those obtained by conformal-field theory and bosonization: we derive explicit expressions for the pre-factors of all terms of such expansions and find that they have an universal form, as the corresponding critical exponents. Our results refer to all finite values of the on-site repulsion U and to a chain of length L very large and with periodic boundary conditions for the above model, but are of general nature for many integrable interacting models. The studies of this paper clarify the relation of the low-energy Tomonaga-Luttinger liquid behavior to the scattering mechanisms which control the spectral properties at all energy scales and provide a broader understanding of the unusual properties of quasi-one-dimensional nanostructures, organic conductors, and optical lattices of ultracold fermionic atoms. Furthermore, our results reveal the microscopic mechanisms which are behind the similarities and differences of the low-energy and finite-energy spectral properties of the model metallic phase
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spelling The Low-Energy Limiting Behavior of the Pseudofermion Dynamical TheoryMecânica quântica, FísicaQuantum mechanics, Physical sciencesIn this paper we show that the general finite-energy spectral-function expressions provided by the pseudofermion dynamical theory for the one-dimensional Hubbard model lead to the expected low-energy Tomonaga-Luttinger liquid correlation function expressions. Moreover, we use the former general expressions to derive correlation-function asymptotic expansions in space and time which go beyond those obtained by conformal-field theory and bosonization: we derive explicit expressions for the pre-factors of all terms of such expansions and find that they have an universal form, as the corresponding critical exponents. Our results refer to all finite values of the on-site repulsion U and to a chain of length L very large and with periodic boundary conditions for the above model, but are of general nature for many integrable interacting models. The studies of this paper clarify the relation of the low-energy Tomonaga-Luttinger liquid behavior to the scattering mechanisms which control the spectral properties at all energy scales and provide a broader understanding of the unusual properties of quasi-one-dimensional nanostructures, organic conductors, and optical lattices of ultracold fermionic atoms. Furthermore, our results reveal the microscopic mechanisms which are behind the similarities and differences of the low-energy and finite-energy spectral properties of the model metallic phase20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/68609eng0550-3213doi:10.1016/j.nuclphysb.2005.12.016J. M. P. CarmeloL. M. MarteloK. Pencinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T15:46:20Zoai:repositorio-aberto.up.pt:10216/68609Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:31:44.993232Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
title The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
spellingShingle The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
J. M. P. Carmelo
Mecânica quântica, Física
Quantum mechanics, Physical sciences
title_short The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
title_full The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
title_fullStr The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
title_full_unstemmed The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
title_sort The Low-Energy Limiting Behavior of the Pseudofermion Dynamical Theory
author J. M. P. Carmelo
author_facet J. M. P. Carmelo
L. M. Martelo
K. Penc
author_role author
author2 L. M. Martelo
K. Penc
author2_role author
author
dc.contributor.author.fl_str_mv J. M. P. Carmelo
L. M. Martelo
K. Penc
dc.subject.por.fl_str_mv Mecânica quântica, Física
Quantum mechanics, Physical sciences
topic Mecânica quântica, Física
Quantum mechanics, Physical sciences
description In this paper we show that the general finite-energy spectral-function expressions provided by the pseudofermion dynamical theory for the one-dimensional Hubbard model lead to the expected low-energy Tomonaga-Luttinger liquid correlation function expressions. Moreover, we use the former general expressions to derive correlation-function asymptotic expansions in space and time which go beyond those obtained by conformal-field theory and bosonization: we derive explicit expressions for the pre-factors of all terms of such expansions and find that they have an universal form, as the corresponding critical exponents. Our results refer to all finite values of the on-site repulsion U and to a chain of length L very large and with periodic boundary conditions for the above model, but are of general nature for many integrable interacting models. The studies of this paper clarify the relation of the low-energy Tomonaga-Luttinger liquid behavior to the scattering mechanisms which control the spectral properties at all energy scales and provide a broader understanding of the unusual properties of quasi-one-dimensional nanostructures, organic conductors, and optical lattices of ultracold fermionic atoms. Furthermore, our results reveal the microscopic mechanisms which are behind the similarities and differences of the low-energy and finite-energy spectral properties of the model metallic phase
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
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dc.identifier.uri.fl_str_mv https://repositorio-aberto.up.pt/handle/10216/68609
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dc.relation.none.fl_str_mv 0550-3213
doi:10.1016/j.nuclphysb.2005.12.016
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