Finite energy electronic correlations in low-dimensional systems

Detalhes bibliográficos
Autor(a) principal: Bozi, Daniel Marco Philip
Data de Publicação: 2005
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/4825
Resumo: Dissertação de doutoramento em Física.
id RCAP_4c7b81581673ddca2e63738988d69eaa
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/4825
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Finite energy electronic correlations in low-dimensional systems538.9Dissertação de doutoramento em Física.This thesis report deals with the one dimensional Hubbard model. Specifically, we describe the quantum objects that diagonalize the normal ordered Hubbard hamiltonian, among those the so called pseudofermions. These pseudofermions, η-spin and spin zero objects, are the scatterers and the scattering centers of the representation developed here. They have no residual energy interactions. The S-matrix of this representation can be written as a simple phase factor, which involves the phase shifts of the zero energy forward momentum scattering events. The form of the pseudofermion S-matrix constitutes an important new result of this thesis report. In contrast to the usual low-energy Luttinger liquid theory, the theory reported here allows us to categorize a separation of the charge and spin degrees of freedom at a finite energy excitation scale, of quantum objects called rotated electrons. The rotated electrons are linked to the electrons by a mere unitary transformation. Furthermore, we develop a pseudofermion dynamical theory and apply it to the evaluation of the spectral function in the one-electron removal and one-electron lower Hubbard band addition cases. For any value of the on-site effective Coloumb repulsion and electronic density, and in the limit of zero magnetization, we derive closed form expressions for these spectral functions, showing explicitly the emergence of the characteristic power-law type behavior of correlation functions of Luttinger liquids. We note however, that our derived expressions are valid for the entire elementary excitation energy bandwidth, and not just the linear regime. We are able to identify practically all features of the spectral weight of the 1D Hubbard model, in terms of pseudofermion or pseudofermion hole excitations. This brings new light to the understanding of the spectral properties of the one dimensional Hubbard model. The singular behavior of the theoretical spectral weight, as predicted by the explicitly calculated values of the relevant exponents and pre-factors, leads to a spectral weight distribution which is detectable by photo emission and photo absorption experiments on quasi one dimensional materials. As an important contribution to the understanding of these materials, we are able to reproduce for the whole energy bandwidth, the experimental spectral distributions recently found for the organic compound TTF-TCNQ by high-resolution photo emission spectroscopy. This confirms the validity of the pseudofermion dynamical theory, and provides a deeper understanding of low dimensional correlated systems.Fundação para a Ciência e a Tecnologia (FCT) - SFRH/BD/6930/2001.Carmelo, José Manuel PereiraSacramento, Pedro D.Universidade do MinhoBozi, Daniel Marco Philip20052005-01-01T00:00:00Zdoctoral thesisinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/1822/4825enginfo: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:RCAAP2024-05-11T06:00:12Zoai:repositorium.sdum.uminho.pt:1822/4825Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-11T06:00:12Repositório 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 Finite energy electronic correlations in low-dimensional systems
title Finite energy electronic correlations in low-dimensional systems
spellingShingle Finite energy electronic correlations in low-dimensional systems
Bozi, Daniel Marco Philip
538.9
title_short Finite energy electronic correlations in low-dimensional systems
title_full Finite energy electronic correlations in low-dimensional systems
title_fullStr Finite energy electronic correlations in low-dimensional systems
title_full_unstemmed Finite energy electronic correlations in low-dimensional systems
title_sort Finite energy electronic correlations in low-dimensional systems
author Bozi, Daniel Marco Philip
author_facet Bozi, Daniel Marco Philip
author_role author
dc.contributor.none.fl_str_mv Carmelo, José Manuel Pereira
Sacramento, Pedro D.
Universidade do Minho
dc.contributor.author.fl_str_mv Bozi, Daniel Marco Philip
dc.subject.por.fl_str_mv 538.9
topic 538.9
description Dissertação de doutoramento em Física.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
dc.type.driver.fl_str_mv doctoral thesis
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/4825
url http://hdl.handle.net/1822/4825
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
_version_ 1817544816193437696

Registros relacionados