Level Repulsion for a class of decaying random potentials

Abstract

In this paper we consider the Anderson model with decaying randomness and show that statistics near the band edges in the absolutely continuous spectrum in dimensions $d\ge 3$ is independent of the randomness and agrees with that of the free part. We also consider the operators at small coupling and identify the length scales at which the statistics agrees with the free one in the limit when the coupling constant goes to zero.

References in corpus (1)

• The Canopy Graph and Level Statistics for Random Operators on Trees

Cited by in corpus (2)

• Poisson Statistics for Anderson Model with Singular Randomness
• Eigenfunction Statistics for Anderson Model with Hölder continuous single site Potential