Renormalization transformation of periodic and aperiodic lattices

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dc.contributor.authorMaciá Barber, Enrique Alfonso
dc.contributor.authorRodriguez Oliveros, Rogelio
dc.date.accessioned2023-06-20T12:39:39Z
dc.date.available2023-06-20T12:39:39Z
dc.date.issued2006-10
dc.description©2006 The American Physical Society. E.M. warmly thanks J. César Flores, Gerardo G. Naumis, and Víctor R. Velasco for enlightening conversations on aperiodic systems. We acknowledge M. V. Hernández for a critical reading of the manuscript. This work has been supported by the Universidad Complutense de Madrid through Project No. PR27/05-14014-BSCH.
dc.description.abstractIn 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.
dc.description.departmentDepto. de Física de Materiales
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/44644
dc.identifier.doi10.1103/PhysRevB.74.144202
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevB.74.144202
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/52105
dc.issue.number14
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDPR27/05-14014-BSCH
dc.rights.accessRightsopen access
dc.subject.cdu538.9
dc.subject.keywordQuasi-regular heterostructures
dc.subject.keywordCritical wave-functions
dc.subject.keywordElastic-waves
dc.subject.keywordElectronic transport
dc.subject.keywordFibonacci chain
dc.subject.keywordPhysical nature
dc.subject.keywordEnergy-spectra
dc.subject.keywordDouble-strand
dc.subject.keywordOne dimension
dc.subject.keywordDNA
dc.subject.ucmFísica de materiales
dc.subject.ucmFísica del estado sólido
dc.subject.unesco2211 Física del Estado Sólido
dc.titleRenormalization transformation of periodic and aperiodic lattices
dc.typejournal article
dc.volume.number74
dspace.entity.typePublication
relation.isAuthorOfPublicationdd37b3ce-0186-44e8-a4b6-62cef9121754
relation.isAuthorOfPublication.latestForDiscoverydd37b3ce-0186-44e8-a4b6-62cef9121754
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