Localization properties of a tight-binding electronic model on the Apollonian network

Detalhes bibliográficos
Autor(a) principal: Cardoso, A. L.
Data de Publicação: 2008
Outros Autores: Andrade, Roberto Fernandes Silva, Souza, A. M. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13818
Resumo: p. 1-8
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spelling Cardoso, A. L.Andrade, Roberto Fernandes SilvaSouza, A. M. C.2013-11-20T19:21:46Z2013-11-20T19:21:46Z20081098-0121http://repositorio.ufba.br/ri/handle/ri/13818v. 78, n. 21p. 1-8An investigation on the properties of electronic states of a tight-binding Hamiltonian on the Apollonian network is presented. This structure, which is defined based on the Apollonian packing problem, has been explored both as a complex network and as a substrate on the top of which physical models can be defined. The Schrödinger equation of the model, which includes only nearest-neighbor interactions, is written in a matrix formulation. In the uniform case, the resulting Hamiltonian is proportional to the adjacency matrix of the Apollonian network. The characterization of the electronic eigenstates is based on the properties of the spectrum, which is characterized by a very large degeneracy. The 2π/3 rotation symmetry of the network and large number of equivalent sites are reflected in all eigenstates, which are classified according to their parity. Extended and localized states are identified by evaluating the participation rate. Results for other two nonuniform models on the Apollonian network are also presented. In one case, interaction is considered to be dependent of the node degree, while in the other one random on-site energies are considered.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-11-20T10:23:08Z No. of bitstreams: 1 PhysRevB.78.214202.pdf: 442730 bytes, checksum: 2ac0e188545e77b6d944559914820ce8 (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-20T19:21:46Z (GMT) No. of bitstreams: 1 PhysRevB.78.214202.pdf: 442730 bytes, checksum: 2ac0e188545e77b6d944559914820ce8 (MD5)Made available in DSpace on 2013-11-20T19:21:46Z (GMT). No. of bitstreams: 1 PhysRevB.78.214202.pdf: 442730 bytes, checksum: 2ac0e188545e77b6d944559914820ce8 (MD5) Previous issue date: 2008http://dx.doi.org/10.1103/PhysRevB.78.214202reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBALocalization properties of a tight-binding electronic model on the Apollonian networkPhysical Review Binfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALPhysRevB.78.214202.pdfPhysRevB.78.214202.pdfapplication/pdf442730https://repositorio.ufba.br/bitstream/ri/13818/1/PhysRevB.78.214202.pdf2ac0e188545e77b6d944559914820ce8MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/13818/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTPhysRevB.78.214202.pdf.txtPhysRevB.78.214202.pdf.txtExtracted texttext/plain35121https://repositorio.ufba.br/bitstream/ri/13818/3/PhysRevB.78.214202.pdf.txta8ccaf4f1a6d718c6c862ec706da700fMD53ri/138182022-03-10 13:51:58.127oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-10T16:51:58Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Localization properties of a tight-binding electronic model on the Apollonian network
dc.title.alternative.pt_BR.fl_str_mv Physical Review B
title Localization properties of a tight-binding electronic model on the Apollonian network
spellingShingle Localization properties of a tight-binding electronic model on the Apollonian network
Cardoso, A. L.
title_short Localization properties of a tight-binding electronic model on the Apollonian network
title_full Localization properties of a tight-binding electronic model on the Apollonian network
title_fullStr Localization properties of a tight-binding electronic model on the Apollonian network
title_full_unstemmed Localization properties of a tight-binding electronic model on the Apollonian network
title_sort Localization properties of a tight-binding electronic model on the Apollonian network
author Cardoso, A. L.
author_facet Cardoso, A. L.
Andrade, Roberto Fernandes Silva
Souza, A. M. C.
author_role author
author2 Andrade, Roberto Fernandes Silva
Souza, A. M. C.
author2_role author
author
dc.contributor.author.fl_str_mv Cardoso, A. L.
Andrade, Roberto Fernandes Silva
Souza, A. M. C.
description p. 1-8
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2013-11-20T19:21:46Z
dc.date.available.fl_str_mv 2013-11-20T19:21:46Z
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://repositorio.ufba.br/ri/handle/ri/13818
dc.identifier.issn.none.fl_str_mv 1098-0121
dc.identifier.number.pt_BR.fl_str_mv v. 78, n. 21
identifier_str_mv 1098-0121
v. 78, n. 21
url http://repositorio.ufba.br/ri/handle/ri/13818
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1103/PhysRevB.78.214202
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