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Dimensional dependence of the metal-insulator transition

Dimensional dependence of the metal-insulator transition

We study the dependence on the spatial dimensionality of different quantities relevant in the description of the Anderson transition by combining numerical calculations in a $3\ensuremath{\leqslant}d\ensuremath{\leqslant}6$ disordered tight-binding model with theoretical arguments. Our results indicate that, in agreement with the one-parameter scaling theory, the upper critical dimension for localization is …