Minami's estimate: beyond rank one perturbation and monotonicity
Spectral Theory
2016-01-05 v3 Mathematical Physics
math.MP
Abstract
In this note we prove Minami's estimate for a class of discrete alloy-type models with a sign-changing single-site potential of finite support. We apply Minami's estimate to prove Poisson statistics for the energy level spacing. Our result is valid for random potentials which are in a certain sense sufficiently close to the standard Anderson potential (rank one perturbations coupled with i.i.d. random variables).
Keywords
Cite
@article{arxiv.1210.3542,
title = {Minami's estimate: beyond rank one perturbation and monotonicity},
author = {Martin Tautenhahn and Ivan Veselić},
journal= {arXiv preprint arXiv:1210.3542},
year = {2016}
}
Comments
19 pages, 1 figure