Spectral Statistics for an Anderson Model with sporadic potentials
Mathematical Physics
2020-03-25 v3 Functional Analysis
math.MP
Spectral Theory
Abstract
In this paper we consider an Anderson model with a large number of sites with zero interaction. For such models we study the spectral statistics in the region of complete localization. We show that Poisson statistics holds for such energies, by proving the Minami estimate.
Keywords
Cite
@article{arxiv.1712.06883,
title = {Spectral Statistics for an Anderson Model with sporadic potentials},
author = {Werner Kirsch and Maddaly Krishna},
journal= {arXiv preprint arXiv:1712.06883},
year = {2020}
}