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Anderson transition in low-dimensional disordered systems driven by long-range nonrandom hopping

dc.contributor.authorRodriguez, A.
dc.contributor.authorMalyshev, Andrey
dc.contributor.authorSierra, G.
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.contributor.authorRodriguez-Laguna, J.
dc.contributor.authorDomínguez-Adame Acosta, Francisco
dc.date.accessioned2023-06-20T10:48:33Z
dc.date.available2023-06-20T10:48:33Z
dc.date.issued2003-01-17
dc.description© 2003 The American Physical Society. V. A. M. acknowledges support from MECyD (Project No. SAB2000-0103). A. R. and F. D-A. were supported by DGI-MCyT (Project No. MAT2000-0734) and CAM (Project No. 07N/0075/2001). G. S. and M. A. M-D. acknowledge support from PGC (Project No. BFM2000-1320-C02-01).
dc.description.abstractThe single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with a renormalization group analysis, as well as numerically that extended states may occur in the one- and two-dimensional Anderson model with a nonrandom hopping falling off as some power of the distance between sites. The different size scaling of the bare level spacing and the renormalized magnitude of the disorder seen by the quasiparticles finally results in the delocalization of states at one of the band edges of the quasiparticle energy spectrum.
dc.description.departmentDepto. de Física de Materiales
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMECyD
dc.description.sponsorshipDGI-MCyT
dc.description.sponsorshipCAM
dc.description.sponsorshipPGC
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/27508
dc.identifier.doi10.1103/PhysRevLett.90.027404
dc.identifier.issn0031-9007
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevLett.90.027404
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51262
dc.issue.number2
dc.journal.titlePhysical Review Letters
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDSAB2000-0103
dc.relation.projectIDMAT2000-0734
dc.relation.projectID07N/0075/2001
dc.relation.projectIDBFM2000-1320-C02-01
dc.rights.accessRightsopen access
dc.subject.cdu538.9
dc.subject.keywordQuantum Diffusion
dc.subject.keyword2 Dimensions
dc.subject.keywordLocalization
dc.subject.keywordFermions
dc.subject.keywordAbsence
dc.subject.ucmFísica de materiales
dc.titleAnderson transition in low-dimensional disordered systems driven by long-range nonrandom hopping
dc.typejournal article
dc.volume.number90
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