Level Repulsion for a class of decaying random potentials
Spectral Theory
2013-05-27 v1
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 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.
Cite
@article{arxiv.1305.5619,
title = {Level Repulsion for a class of decaying random potentials},
author = {Dhriti Ranjan Dolai and M Krishna},
journal= {arXiv preprint arXiv:1305.5619},
year = {2013}
}