Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p

Detalhes bibliográficos
Autor(a) principal: Lalis, Diovana de Mello
Data de Publicação: 2019
Tipo de documento: Tese
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/20705
Resumo: In this paper, we investigate the effects of hybridization with different symmetries on the normal and superconducting properties of a Hubbard d-p model. The Hubbard d-p model is a variation of the model proposed by Hubbard to describe strongly correlated electron systems. This model was proposed to describe materials with different types of bands. A narrow band associated with poorly moving electrons and a wide band. Mixing these two bands can generate interesting behaviors for the system. Variation of external parameters, such as pressure or doping, can lead the system from a metallic state to an insulating state, or even to a superconducting state. Hybridization between bands depends on parameters such as external pressure. The symmetry of hybridization is also important when analyzing the normal and superconducting properties of the system. In this paper, we will consider an isotropic symmetry, ie s symmetry, s extended-wave symmetry, and dp wave symmetry. The objective is to study how these different symmetries influence the behavior of the normal state and the superconducting state of the model. The model is studied using the Green’s function technique together with an n-pole approximation to the Green functions. The approximation of n-poles allows us to investigate the behavior of a pseudogap in the density of states, as observed in cuprate superconductors. Cuprates show an anomalous behavior in the normal phase where there is a pseudogap that can be observed in the density of states. Pseudogap has been heavily investigated for the purpose of trying to understand the mechanisms of superconductivity in these systems. The results show that pseudogap depends on the symmetry of hybridization, being favored by symmetry dp and disadvantaged by symmetry s-extended. This result can be understood by analyzing the spin-spin correlation function, which can be associated with antiferromagnetic correlations. A investigation of the Fermi surface topology was also performed, showing the occurrence of a Lifshitz transition when the system enters a regime of strong correlations. It was observed that the Lifshitz transition depends on different model parameters such as Coulomb interaction and hybridization, and is also influenced by the symmetry of hybridization.
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spelling 2021-04-27T11:57:02Z2021-04-27T11:57:02Z2019-08-30http://repositorio.ufsm.br/handle/1/20705In this paper, we investigate the effects of hybridization with different symmetries on the normal and superconducting properties of a Hubbard d-p model. The Hubbard d-p model is a variation of the model proposed by Hubbard to describe strongly correlated electron systems. This model was proposed to describe materials with different types of bands. A narrow band associated with poorly moving electrons and a wide band. Mixing these two bands can generate interesting behaviors for the system. Variation of external parameters, such as pressure or doping, can lead the system from a metallic state to an insulating state, or even to a superconducting state. Hybridization between bands depends on parameters such as external pressure. The symmetry of hybridization is also important when analyzing the normal and superconducting properties of the system. In this paper, we will consider an isotropic symmetry, ie s symmetry, s extended-wave symmetry, and dp wave symmetry. The objective is to study how these different symmetries influence the behavior of the normal state and the superconducting state of the model. The model is studied using the Green’s function technique together with an n-pole approximation to the Green functions. The approximation of n-poles allows us to investigate the behavior of a pseudogap in the density of states, as observed in cuprate superconductors. Cuprates show an anomalous behavior in the normal phase where there is a pseudogap that can be observed in the density of states. Pseudogap has been heavily investigated for the purpose of trying to understand the mechanisms of superconductivity in these systems. The results show that pseudogap depends on the symmetry of hybridization, being favored by symmetry dp and disadvantaged by symmetry s-extended. This result can be understood by analyzing the spin-spin correlation function, which can be associated with antiferromagnetic correlations. A investigation of the Fermi surface topology was also performed, showing the occurrence of a Lifshitz transition when the system enters a regime of strong correlations. It was observed that the Lifshitz transition depends on different model parameters such as Coulomb interaction and hybridization, and is also influenced by the symmetry of hybridization.Neste trabalho, é realizada uma investigação dos efeitos da hibridização com diferentes simetrias nas propriedades normais e supercondutoras de um modelo Hubbard d-p. O modelo de Hubbard d-p é uma variação do modelo proposto por Hubbard para descrever sistemas de elétrons fortemente correlacionados. Esse modelo foi proposto para descrever materias com diferentes tipos de bandas. Uma banda estreita associada a elétrons com pouca mobilidade e outra banda mais larga. A mistura destas duas bandas pode gerar comportamentos interessantes para o sistema. A variação de um parâmetro externo como a pressão ou a dopagem, pode levar o sistema de um estado metálico a um estado isolante, ou até mesmo, a um estado supercondutor. A hibridização entre as bandas depende desses parâmetros, como por exemplo, a pressão externa. A simetria da hibridização também é importante quando analisamos as propriedades normais e supercondutoras do sistema. Neste trabalho, consideraremos uma simetria isotrópica, ou seja uma simetria s, uma simetria de onda s-estendida e uma simetria de onda do tipo dp. O objetivo é estudar como essas diferentes simetrias influenciam no comportamento do estado normal e do estado supercondutor do modelo. O modelo é estudado através da técnica das funções de Green em conjunto com uma aproximação de n-polos para as funções de Green. A aproximação de n-polos permite investigar o comportamento de um pseudogap na densidade de estados, como aquele observado nos supercondutores cupratos. Os cupratos apresentam um comportamento anômalo na fase normal onde há presença de um pseudogap que pode ser observado na densidade de estados. O pseudogap tem sido muito investigado com o propósito de tentar entender os mecanismos da supercondutividade nesses sistemas. Os resultados obtidos mostram que o pseudogap depende da simetria da hibridização, sendo favorecido pela simetria dp e desfavorecido pela simetria s-estendida. Esse resultado pode ser entendido através da análise da função de correlação spin-spin, que pode ser associada a correlações antiferromagnéticas. Realizou-se também um estudo da topologia da superficie de Fermi mostrando a ocorrência de uma transição de Lifshitz quando o sistema entra em um regime de correlações fortes. Observou-se que a transição de Lifshitz depende de diferentes parâmetros do modelo como a interação coulombiana e a hibridização, e é influênciada também pela simetria da hibridização.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em FísicaUFSMBrasilFísicaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessModelo de Hubbard d-pAproximação de n-polosHibridizaçãoFunções de GreenPseudogapSimetriasHubbard d-p modeln-polos approximationHybridizationGreen’s functionsSymmetryCNPQ::CIENCIAS EXATAS E DA TERRA::FISICAEfeitos da hibridização no pseudogap em um modelo de Hubbard d-pHybridization effects on the pseudogap of Hubbard d-p modelinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisCalegari, Eleonir Joãohttp://lattes.cnpq.br/6030572534512173Bernhard, Ben HurVieira, Valdemar das NevesDorneles, Lucio StrazzaboscoSchmidt, Mateushttp://lattes.cnpq.br/1452622596350190Lalis, Diovana de Mello100500000006600600600600600600600d7e676e6-ef5f-4dac-af83-a1a38f4b59ca6000f77b-a601-4edc-a26d-52c4db6be7cb32ca3b02-8455-43a8-a7cb-6d63fd1fe6d6baa57b62-e8d0-44eb-b70f-d48ffa51da2215cee52b-821e-4dbc-9d83-d2da5ffc6aefb79d188d-0945-4459-92c6-09cb31b27f78reponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALTES_PPGFISICA_2019_LALIS_DIOVANA.pdfTES_PPGFISICA_2019_LALIS_DIOVANA.pdfTeseapplication/pdf4305681http://repositorio.ufsm.br/bitstream/1/20705/1/TES_PPGFISICA_2019_LALIS_DIOVANA.pdf3f395e65fd20439e32e8a02364ab07cfMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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dc.title.por.fl_str_mv Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
dc.title.alternative.eng.fl_str_mv Hybridization effects on the pseudogap of Hubbard d-p model
title Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
spellingShingle Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
Lalis, Diovana de Mello
Modelo de Hubbard d-p
Aproximação de n-polos
Hibridização
Funções de Green
Pseudogap
Simetrias
Hubbard d-p model
n-polos approximation
Hybridization
Green’s functions
Symmetry
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
title_short Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
title_full Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
title_fullStr Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
title_full_unstemmed Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
title_sort Efeitos da hibridização no pseudogap em um modelo de Hubbard d-p
author Lalis, Diovana de Mello
author_facet Lalis, Diovana de Mello
author_role author
dc.contributor.advisor1.fl_str_mv Calegari, Eleonir João
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/6030572534512173
dc.contributor.referee1.fl_str_mv Bernhard, Ben Hur
dc.contributor.referee2.fl_str_mv Vieira, Valdemar das Neves
dc.contributor.referee3.fl_str_mv Dorneles, Lucio Strazzabosco
dc.contributor.referee4.fl_str_mv Schmidt, Mateus
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1452622596350190
dc.contributor.author.fl_str_mv Lalis, Diovana de Mello
contributor_str_mv Calegari, Eleonir João
Bernhard, Ben Hur
Vieira, Valdemar das Neves
Dorneles, Lucio Strazzabosco
Schmidt, Mateus
dc.subject.por.fl_str_mv Modelo de Hubbard d-p
Aproximação de n-polos
Hibridização
Funções de Green
Pseudogap
Simetrias
topic Modelo de Hubbard d-p
Aproximação de n-polos
Hibridização
Funções de Green
Pseudogap
Simetrias
Hubbard d-p model
n-polos approximation
Hybridization
Green’s functions
Symmetry
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
dc.subject.eng.fl_str_mv Hubbard d-p model
n-polos approximation
Hybridization
Green’s functions
Symmetry
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
description In this paper, we investigate the effects of hybridization with different symmetries on the normal and superconducting properties of a Hubbard d-p model. The Hubbard d-p model is a variation of the model proposed by Hubbard to describe strongly correlated electron systems. This model was proposed to describe materials with different types of bands. A narrow band associated with poorly moving electrons and a wide band. Mixing these two bands can generate interesting behaviors for the system. Variation of external parameters, such as pressure or doping, can lead the system from a metallic state to an insulating state, or even to a superconducting state. Hybridization between bands depends on parameters such as external pressure. The symmetry of hybridization is also important when analyzing the normal and superconducting properties of the system. In this paper, we will consider an isotropic symmetry, ie s symmetry, s extended-wave symmetry, and dp wave symmetry. The objective is to study how these different symmetries influence the behavior of the normal state and the superconducting state of the model. The model is studied using the Green’s function technique together with an n-pole approximation to the Green functions. The approximation of n-poles allows us to investigate the behavior of a pseudogap in the density of states, as observed in cuprate superconductors. Cuprates show an anomalous behavior in the normal phase where there is a pseudogap that can be observed in the density of states. Pseudogap has been heavily investigated for the purpose of trying to understand the mechanisms of superconductivity in these systems. The results show that pseudogap depends on the symmetry of hybridization, being favored by symmetry dp and disadvantaged by symmetry s-extended. This result can be understood by analyzing the spin-spin correlation function, which can be associated with antiferromagnetic correlations. A investigation of the Fermi surface topology was also performed, showing the occurrence of a Lifshitz transition when the system enters a regime of strong correlations. It was observed that the Lifshitz transition depends on different model parameters such as Coulomb interaction and hybridization, and is also influenced by the symmetry of hybridization.
publishDate 2019
dc.date.issued.fl_str_mv 2019-08-30
dc.date.accessioned.fl_str_mv 2021-04-27T11:57:02Z
dc.date.available.fl_str_mv 2021-04-27T11:57:02Z
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Centro de Ciências Naturais e Exatas
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dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Física
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
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