An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description

Detalhes bibliográficos
Autor(a) principal: Carmelo, José Manuel Pereira
Data de Publicação: 2011
Outros Autores: Sampaio, Maria J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/60113
Resumo: In this paper we review recent results on the preliminary applications of the new-found extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a bipartite lattice. Our results refer to the particular case of the bipartite square lattice. Specifically, we review a general description for such a model with nearest-neighbor transfer integral <em>t</em> and on-site repulsion <em>U</em> on a square lattice with N<sup>2</sup><sub>a</sub> 1 sites consistent with its extended global symmetry. It refers to three types of elementary objects whose occupancy configurations generate the state representations of the model extended global symmetry. Such objects emerge from a suitable electron-rotated-electron unitary transformation. An application to the spin spectrum of the parent compound La<sub>2</sub>CuO<sub>4</sub> is shortly reviewed.
id RCAP_fcb484b4b395069bf06a95c068f6f6c8
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/60113
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion descriptioncorrelated electronic systemssymmetry representationsneutron scatteringScience & TechnologyIn this paper we review recent results on the preliminary applications of the new-found extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a bipartite lattice. Our results refer to the particular case of the bipartite square lattice. Specifically, we review a general description for such a model with nearest-neighbor transfer integral <em>t</em> and on-site repulsion <em>U</em> on a square lattice with N<sup>2</sup><sub>a</sub> 1 sites consistent with its extended global symmetry. It refers to three types of elementary objects whose occupancy configurations generate the state representations of the model extended global symmetry. Such objects emerge from a suitable electron-rotated-electron unitary transformation. An application to the spin spectrum of the parent compound La<sub>2</sub>CuO<sub>4</sub> is shortly reviewed.We thank M.A.N. Ara´ujo, A. Muramatsu, and P.D. Sacramnto for illuminating discussions and the financial support by the FCT Portuguese grant PTDC/FIS/64926/2006, German transregional collaborative research center SFB/TRR21, and Max Planck Institute for Solid State Research. J.M.P.C. thanks the hospitality of the Institut f¨ur Theoretische Physik III, Universit¨at Stuttgart, where part of the research reviewed here was performed.info:eu-repo/semantics/publishedVersionMultidisciplinary Digital Publishing InstituteUniversidade do MinhoCarmelo, José Manuel PereiraSampaio, Maria J.2011-12-122011-12-12T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/60113eng2073-899410.3390/sym3040780info: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:RCAAP2023-07-21T12:22:41Zoai:repositorium.sdum.uminho.pt:1822/60113Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:16:13.007195Repositório 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 An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
title An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
spellingShingle An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
Carmelo, José Manuel Pereira
correlated electronic systems
symmetry representations
neutron scattering
Science & Technology
title_short An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
title_full An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
title_fullStr An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
title_full_unstemmed An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
title_sort An application of the extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a square lattice: The spinon, η-Spinon, and c Fermion description
author Carmelo, José Manuel Pereira
author_facet Carmelo, José Manuel Pereira
Sampaio, Maria J.
author_role author
author2 Sampaio, Maria J.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Carmelo, José Manuel Pereira
Sampaio, Maria J.
dc.subject.por.fl_str_mv correlated electronic systems
symmetry representations
neutron scattering
Science & Technology
topic correlated electronic systems
symmetry representations
neutron scattering
Science & Technology
description In this paper we review recent results on the preliminary applications of the new-found extended global SO(3) × SO(3) × U(1) symmetry of the Hubbard model on a bipartite lattice. Our results refer to the particular case of the bipartite square lattice. Specifically, we review a general description for such a model with nearest-neighbor transfer integral <em>t</em> and on-site repulsion <em>U</em> on a square lattice with N<sup>2</sup><sub>a</sub> 1 sites consistent with its extended global symmetry. It refers to three types of elementary objects whose occupancy configurations generate the state representations of the model extended global symmetry. Such objects emerge from a suitable electron-rotated-electron unitary transformation. An application to the spin spectrum of the parent compound La<sub>2</sub>CuO<sub>4</sub> is shortly reviewed.
publishDate 2011
dc.date.none.fl_str_mv 2011-12-12
2011-12-12T00:00:00Z
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 https://hdl.handle.net/1822/60113
url https://hdl.handle.net/1822/60113
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2073-8994
10.3390/sym3040780
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.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
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
_version_ 1799132611068559360

Registros relacionados