Multifractal Quantum Evolution at a Mobility Edge

dc.contributor.authorEvangelou, S. N.en
dc.contributor.authorKatsanos, D. E.en
dc.date.accessioned2015-11-24T18:40:20Z
dc.date.available2015-11-24T18:40:20Z
dc.identifier.issn0305-4470-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/17600
dc.rightsDefault Licence-
dc.subjectwave-functionsen
dc.subjectquasiperiodic systemsen
dc.subjectharper modelen
dc.subjectlocalizationen
dc.subjectspectrumen
dc.titleMultifractal Quantum Evolution at a Mobility Edgeen
heal.abstractWe describe the time evolution of a quantum wavepacket at the Anderson metal-insulator transition using a quasirandom model as an example of a system with a mobility edge. It is demonstrated that the dynamical wavefuunction is multifractal characterized by a continuous set of generalized spectral dimensions mu(q) and we find its alpha - f(alpha) spectra. We also define and calculate an infinite hierarchy of diffusion exponents gamma(q) corresponding to all the displacement moments (\r(t)\q) describing the quantum evolution. A slow subdiffusive decay for the 'staying at the origin probability' (P(t)) averaged over all initial sites is obtained at the mobility edge.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://A1993MN31000010-
heal.journalNameJournal of Physics a-Mathematical and Generalen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate1993-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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