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Anderson localization in Euclidean random matrices

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dc.contributor.authorCiliberti, S.
dc.contributor.authorGrigera, T.S.
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorParisi, G.
dc.contributor.authorVerrocchio, P.
dc.date.accessioned2023-06-20T12:40:30Z
dc.date.available2023-06-20T12:40:30Z
dc.date.issued2005-04-11
dc.description© 2005 The American Physical Society. We acknowledge partial support from MCyT, Spain (Grants No. FPA2001-1813, No. FPA2000-0956, and No. BFM2003-08532-C03) and ANPCyT, Argentina. S.C. was supported by the ECHP program (Grant No. HPRN-CT2002-00307). V.M.-M. was supported by the Ramón y Cajal program, and P.V. by the European Commission (Grant No. MCFI-2002-01262). T.S.G. was supported by CONICET (Argentina).
dc.description.abstractWe study the spectra and localization properties of Euclidean random matrices defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold in topologically disordered soff-latticed systems. We solve numerically an equation sexact on the random graphd for the probability distribution function of the diagonal elements of the resolvent matrix, with a population dynamics algorithm sPDAd. We show that the localization threshold can be estimated by studying the stability of a population of real resolvents under the PDA. An application is given in the context of the instantaneous normal modes of a liquid.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMCyT, Spain
dc.description.sponsorshipANPCyT, Argentina
dc.description.sponsorshipECHP
dc.description.sponsorshipRamón y Cajal program
dc.description.sponsorshipP.V. by the European Commission
dc.description.sponsorshipCONICET (Argentina)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/45748
dc.identifier.doi10.1103/PhysRevB.71.153104
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevB.71.153104
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.relatedurlhttps://arxiv.org/abs/cond-mat/0403122
dc.identifier.urihttps://hdl.handle.net/20.500.14352/52170
dc.issue.number15
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFPA2001-1813
dc.relation.projectIDFPA2000-0956
dc.relation.projectIDBFM2003-08532-C03
dc.relation.projectIDHPRN-CT2002-00307
dc.relation.projectIDMCFI-2002-01262
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordInstantaneous normal-modes
dc.subject.keywordDensity-of-states: Analytic computation
dc.subject.keywordEnergy landscape
dc.subject.keywordRandom lattices
dc.subject.keywordField-theory
dc.subject.keywordLiquids
dc.subject.keywordDiffusion
dc.subject.keywordSpectrum
dc.subject.keywordSystems.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleAnderson localization in Euclidean random matrices
dc.typejournal article
dc.volume.number71
dspace.entity.typePublication
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery061118c0-eadf-4ee3-8897-2c9b65a6df66

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