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

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dc.creatorRodriguez, A.
dc.creatorMalyshev, V. A.
dc.creatorSierra, G.
dc.creatorMartin-Delgado, M. A.
dc.creatorRodriguez-Laguna, J.
dc.creatorDominguez-Adame, F.
dc.date2002-04-23
dc.date2002-12-04
dc.date.accessioned2026-07-07T02:45:10Z
dc.date.available2026-07-07T02:45:10Z
dc.descriptionThe single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically and 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. The delocalized nature of those eigenstates is investigated by numerical diagonalization of the Hamiltonian and by the supersymmetric method for disorder averaging, combined with a renormalization group analysis.
dc.description4 pages with 2 Postscript figures, revtex 4. To appear in Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0204496
dc.identifierhttp://arxiv.org/abs/cond-mat/0204496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19204
dc.subjectDisordered Systems and Neural Networks
dc.titleAnderson transition in low-dimensional disordered systems driven by nonrandom long-range hopping
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