Renormalization transformation of periodic and aperiodic lattices

In this work we introduce a similarity transformation acting on transfer matrices describing the propagation of elementary excitations through either periodic or Fibonacci lattices. The proposed transformation can act at two different scale lengths. At the atomic scale the transformation allows one...

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Detalles Bibliográficos
Autores: Maciá Barber, Enrique Alfonso, Rodriguez Oliveros, Rogelio
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/52105
Acceso en línea:https://hdl.handle.net/20.500.14352/52105
Access Level:acceso abierto
Palabra clave:538.9
Quasi-regular heterostructures
Critical wave-functions
Elastic-waves
Electronic transport
Fibonacci chain
Physical nature
Energy-spectra
Double-strand
One dimension
DNA
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
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oai_identifier_str oai:docta.ucm.es:20.500.14352/52105
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spelling Renormalization transformation of periodic and aperiodic latticesMaciá Barber, Enrique AlfonsoRodriguez Oliveros, Rogelio538.9Quasi-regular heterostructuresCritical wave-functionsElastic-wavesElectronic transportFibonacci chainPhysical natureEnergy-spectraDouble-strandOne dimensionDNAFísica de materialesFísica del estado sólido2211 Física del Estado SólidoIn this work we introduce a similarity transformation acting on transfer matrices describing the propagation of elementary excitations through either periodic or Fibonacci lattices. The proposed transformation can act at two different scale lengths. At the atomic scale the transformation allows one to express the systems' global transfer matrix in terms of an equivalent on-site model one. Correlation effects among different hopping terms are described by a series of local phase factors in that case. When acting on larger scale lengths, corresponding to short segments of the original lattice, the similarity transformation can be properly regarded as describing an effective renormalization of the chain. The nature of the resulting renormalized lattice significantly depends on the kind of order (i.e., periodic or quasiperiodic) of the original lattice, expressing a delicate balance between chemical complexity and topological order as a consequence of the renormalization process.American Physical SocietyUniversidad Complutense de Madrid20062006-10-0120062006-10-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/52105reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/521052026-06-02T12:44:21Z
dc.title.none.fl_str_mv Renormalization transformation of periodic and aperiodic lattices
title Renormalization transformation of periodic and aperiodic lattices
spellingShingle Renormalization transformation of periodic and aperiodic lattices
Maciá Barber, Enrique Alfonso
538.9
Quasi-regular heterostructures
Critical wave-functions
Elastic-waves
Electronic transport
Fibonacci chain
Physical nature
Energy-spectra
Double-strand
One dimension
DNA
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
title_short Renormalization transformation of periodic and aperiodic lattices
title_full Renormalization transformation of periodic and aperiodic lattices
title_fullStr Renormalization transformation of periodic and aperiodic lattices
title_full_unstemmed Renormalization transformation of periodic and aperiodic lattices
title_sort Renormalization transformation of periodic and aperiodic lattices
dc.creator.none.fl_str_mv Maciá Barber, Enrique Alfonso
Rodriguez Oliveros, Rogelio
author Maciá Barber, Enrique Alfonso
author_facet Maciá Barber, Enrique Alfonso
Rodriguez Oliveros, Rogelio
author_role author
author2 Rodriguez Oliveros, Rogelio
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
Quasi-regular heterostructures
Critical wave-functions
Elastic-waves
Electronic transport
Fibonacci chain
Physical nature
Energy-spectra
Double-strand
One dimension
DNA
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
topic 538.9
Quasi-regular heterostructures
Critical wave-functions
Elastic-waves
Electronic transport
Fibonacci chain
Physical nature
Energy-spectra
Double-strand
One dimension
DNA
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
description In this work we introduce a similarity transformation acting on transfer matrices describing the propagation of elementary excitations through either periodic or Fibonacci lattices. The proposed transformation can act at two different scale lengths. At the atomic scale the transformation allows one to express the systems' global transfer matrix in terms of an equivalent on-site model one. Correlation effects among different hopping terms are described by a series of local phase factors in that case. When acting on larger scale lengths, corresponding to short segments of the original lattice, the similarity transformation can be properly regarded as describing an effective renormalization of the chain. The nature of the resulting renormalized lattice significantly depends on the kind of order (i.e., periodic or quasiperiodic) of the original lattice, expressing a delicate balance between chemical complexity and topological order as a consequence of the renormalization process.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-10-01
2006
2006-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/52105
url https://hdl.handle.net/20.500.14352/52105
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412478435196929
score 15,301603

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