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Critical properties of the Anderson localization transition and the high-dimensional limit

Critical properties of the Anderson localization transition and the high-dimensional limit

In this paper we present a thorough study of transport, spectral, and wave-function properties at the Anderson localization critical point in spatial dimensions $d=3$, 4, 5, 6. Our aim is to analyze the dimensional dependence and to assess the role of the $d\ensuremath{\rightarrow}\ensuremath{\infty}$ limit provided by Bethe lattices and treelike …