Extended and localized phonons, free electrons, and diffusive states in disordered lattice models

dc.creatorGalanti, Barak
dc.creatorOlami, Zeev
dc.date1999-03-26
dc.date1999-06-20
dc.date.accessioned2026-07-07T03:13:08Z
dc.date.available2026-07-07T03:13:08Z
dc.descriptionIn this paper we propose that phonons, free diffusive electrons, and diffusion in two-and three--dimensional disordered lattice problems belong to a different class of localization than bonded electrons. This is manifested by three effects that can be observed numerically. First, there are extended states even at two dimensions, whereas there are no extended states in the usual electronic models. Second, the correlation length does not diverge at the mobility edges in three dimensions, and finally, the participation ratio of the extended states, decays to zero at this edge. This indicates zero electronic conductivity, in the extended region near the mobility edge. We show that low energy modes for these models can either have diverging localization lengths or are extended.
dc.description4 pages, 4 figures, Corrected typos, Changed content
dc.identifierhttps://arxiv.org/abs/cond-mat/9903392
dc.identifierhttp://arxiv.org/abs/cond-mat/9903392
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29179
dc.subjectDisordered Systems and Neural Networks
dc.titleExtended and localized phonons, free electrons, and diffusive states in disordered lattice models
dc.typetext

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