Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems

Based on the Kubo formalism, electronic transport in macroscopic quasiperiodic systems is studied by means of an efficient renormalization method, and the convolution technique is used in the analysis of two- and three-dimensional lattices. For the bond problem, we found a transparent state located...

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Autores: Wang, CM, Sánchez, V
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:México
Recursos:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1532
Acesso em linha:http://hdl.handle.net/11154/1532
Access Level:acceso abierto
Palavra-chave:Physics, Condensed Matter
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spelling Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systemsWang, CMSánchez, VPhysics, Condensed MatterBased on the Kubo formalism, electronic transport in macroscopic quasiperiodic systems is studied by means of an efficient renormalization method, and the convolution technique is used in the analysis of two- and three-dimensional lattices. For the bond problem, we found a transparent state located at a center of self-similarity and its ac conductivity is qualitatively different from that observed in mixing Fibonacci chains. The conductance spectra of multidimensional systems exhibit a quantized behavior when the electric field is applied along a periodically arranged atomic direction, and it becomes a devil's stair if the perpendicular subspace of the system is quasiperiodic. Furthermore, the dc conductance maintains a constant value for small imaginary parts (eta) of the energy and decays when eta>eta(c), where eta(c) is proportional to the inverse of the system length. Finally, the spectrally averaged conductance shows a power-law decay as the system length grows, neither constant as in periodic systems nor exponential decays occurred in randomly disordered lattices, revealing the critical localization nature of the eigenstates in quasicrystals.2011-01-22T10:26:36Z2011-01-22T10:26:36Z2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1098-0121http://hdl.handle.net/11154/1532172410.1103/PhysRevB.70.14420770(14)reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenPhysical Review Binfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/15322025-09-17T19:20:20Z
dc.title.none.fl_str_mv Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
title Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
spellingShingle Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
Wang, CM
Physics, Condensed Matter
title_short Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
title_full Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
title_fullStr Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
title_full_unstemmed Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
title_sort Application of renormalization and convolution methods to the Kubo-Greenwood formula in multidimensional Fibonacci systems
dc.creator.none.fl_str_mv Wang, CM
Sánchez, V
author Wang, CM
author_facet Wang, CM
Sánchez, V
author_role author
author2 Sánchez, V
author2_role author
dc.subject.none.fl_str_mv Physics, Condensed Matter
topic Physics, Condensed Matter
description Based on the Kubo formalism, electronic transport in macroscopic quasiperiodic systems is studied by means of an efficient renormalization method, and the convolution technique is used in the analysis of two- and three-dimensional lattices. For the bond problem, we found a transparent state located at a center of self-similarity and its ac conductivity is qualitatively different from that observed in mixing Fibonacci chains. The conductance spectra of multidimensional systems exhibit a quantized behavior when the electric field is applied along a periodically arranged atomic direction, and it becomes a devil's stair if the perpendicular subspace of the system is quasiperiodic. Furthermore, the dc conductance maintains a constant value for small imaginary parts (eta) of the energy and decays when eta>eta(c), where eta(c) is proportional to the inverse of the system length. Finally, the spectrally averaged conductance shows a power-law decay as the system length grows, neither constant as in periodic systems nor exponential decays occurred in randomly disordered lattices, revealing the critical localization nature of the eigenstates in quasicrystals.
publishDate 2004
dc.date.none.fl_str_mv 2004
2011-01-22T10:26:36Z
2011-01-22T10:26:36Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 1098-0121
http://hdl.handle.net/11154/1532
1724
10.1103/PhysRevB.70.144207
identifier_str_mv 1098-0121
1724
10.1103/PhysRevB.70.144207
url http://hdl.handle.net/11154/1532
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Physical Review B
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 70(14)
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
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