Electronic states on a fractal: Exact Green's-function renormalization approach

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 1991
Outros Autores: Schellnhuber, H. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13540
Resumo: p. 213-227
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spelling Andrade, Roberto Fernandes SilvaSchellnhuber, H. J.Andrade, Roberto Fernandes SilvaSchellnhuber, H. J.2013-11-03T15:04:23Z2013-11-03T15:04:23Z19911098-0121http://repositorio.ufba.br/ri/handle/ri/13540v. 44, n. 24p. 213-227A nontrivial tight-binding model for electron dynamics on the fractal Koch curve is investigated within the framework of the Green s-function formalism. The key result is the construction of a multiple exact renormalization group that allows one to derive all the rather unusual properties of the model. This group is generated by four nonequivalent decimation operations, which define distinct transforrnation rules for the 48 relevant parameters to be renormalized. The calculation of the density of states confirms the crucial results that were obtained recently using transfer-matrix methods: local self-amenity, dense gap structure, and singular electronic levels with infinite degeneracy. This demonstrates that the Green s-function approach is not inferior to other techniques even in topologically one-dimensional situations.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-09-18T20:30:00Z No. of bitstreams: 1 77777777777777777777.pdf: 703845 bytes, checksum: b8c15a5f4e2dc2c92c91c88b023a031b (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-03T15:04:23Z (GMT) No. of bitstreams: 1 77777777777777777777.pdf: 703845 bytes, checksum: b8c15a5f4e2dc2c92c91c88b023a031b (MD5)Made available in DSpace on 2013-11-03T15:04:23Z (GMT). No. of bitstreams: 1 77777777777777777777.pdf: 703845 bytes, checksum: b8c15a5f4e2dc2c92c91c88b023a031b (MD5) Previous issue date: 1991SalvadorPhysical Review Bhttp://prb-aps-org.ez10.periodicos.capes.gov.br/pdf/PRB/v44/i24/p13213_1reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAElectronic states on a fractal: Exact Green's-function renormalization approachPhysical Review Binfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL77777777777777777777.pdf77777777777777777777.pdfapplication/pdf703845https://repositorio.ufba.br/bitstream/ri/13540/1/77777777777777777777.pdfb8c15a5f4e2dc2c92c91c88b023a031bMD51LICENSElicense.txtlicense.txttext/plain1365https://repositorio.ufba.br/bitstream/ri/13540/2/license.txt5371a150bdc863f78dcf39281543bd86MD52TEXT77777777777777777777.pdf.txt77777777777777777777.pdf.txtExtracted texttext/plain53259https://repositorio.ufba.br/bitstream/ri/13540/3/77777777777777777777.pdf.txt30fc3797e7f2399320e12150bb5148f1MD53ri/135402022-07-05 14:03:48.739oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Electronic states on a fractal: Exact Green's-function renormalization approach
dc.title.alternative.pt_BR.fl_str_mv Physical Review B
title Electronic states on a fractal: Exact Green's-function renormalization approach
spellingShingle Electronic states on a fractal: Exact Green's-function renormalization approach
Andrade, Roberto Fernandes Silva
title_short Electronic states on a fractal: Exact Green's-function renormalization approach
title_full Electronic states on a fractal: Exact Green's-function renormalization approach
title_fullStr Electronic states on a fractal: Exact Green's-function renormalization approach
title_full_unstemmed Electronic states on a fractal: Exact Green's-function renormalization approach
title_sort Electronic states on a fractal: Exact Green's-function renormalization approach
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Schellnhuber, H. J.
author_role author
author2 Schellnhuber, H. J.
author2_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Schellnhuber, H. J.
Andrade, Roberto Fernandes Silva
Schellnhuber, H. J.
description p. 213-227
publishDate 1991
dc.date.issued.fl_str_mv 1991
dc.date.accessioned.fl_str_mv 2013-11-03T15:04:23Z
dc.date.available.fl_str_mv 2013-11-03T15:04:23Z
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13540
dc.identifier.issn.none.fl_str_mv 1098-0121
dc.identifier.number.pt_BR.fl_str_mv v. 44, n. 24
identifier_str_mv 1098-0121
v. 44, n. 24
url http://repositorio.ufba.br/ri/handle/ri/13540
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Physical Review B
publisher.none.fl_str_mv Physical Review B
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