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oai:docta.ucm.es:20.500.14352/512622024-08-27T16:50:51Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Rodriguez, A. author Malyshev, Andrey author Sierra, G. author Martín-Delgado Alcántara, Miguel Ángel author Rodriguez-Laguna, J. author Domínguez-Adame Acosta, Francisco author 2003-01-17 The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with a renormalization group analysis, as well as 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. 0031-9007 10.1103/PhysRevLett.90.027404 https://hdl.handle.net/20.500.14352/51262 http://dx.doi.org/10.1103/PhysRevLett.90.027404 http://journals.aps.org/ Anderson transition in low-dimensional disordered systems driven by long-range nonrandom hopping