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Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction

dc.contributor.authorMalyshev, Andrey
dc.contributor.authorDomínguez-Adame Acosta, Francisco
dc.date.accessioned2023-06-20T10:48:22Z
dc.date.available2023-06-20T10:48:22Z
dc.date.issued2004-11
dc.description© 2004 The American Physical Society. The authors thank A. Rodríguez, M. A. Martín-Delgado, and G. Sierra for discussions. This work was supported by DGI-MCyT (MAT2003-01533) and MECyD (SB2001 -0146)
dc.description.abstractWe consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized.
dc.description.departmentDepto. de Física de Materiales
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGI-MCyT
dc.description.sponsorshipMECyD
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/27477
dc.identifier.doi10.1103/PhysRevB.70.172202
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevB.70.172202
dc.identifier.relatedurlhttp://dx.doi.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51256
dc.issue.number17
dc.journal.titlePhysical Review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDMAT2003-01533
dc.relation.projectIDSB2001-0146
dc.rights.accessRightsopen access
dc.subject.cdu538.9
dc.subject.keywordInverse Participation Ratio
dc.subject.keywordMetal-Insulator-Transition
dc.subject.keywordDisordered-Systems
dc.subject.keywordAnderson Transition
dc.subject.keywordProbability-Distributions
dc.subject.keywordQuantum Diffusion
dc.subject.keywordScaling Theory
dc.subject.keywordWave-Functions
dc.subject.keywordFluctuations
dc.subject.keywordAbsence
dc.subject.ucmFísica de materiales
dc.titleMonitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
dc.typejournal article
dc.volume.number70
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relation.isAuthorOfPublication.latestForDiscoveryb2abe0ef-0417-4f43-8dce-55d3205e22ec

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