Minami's estimate: beyond rank one perturbation and monotonicity
arXiv:1210.3542 · doi:10.1007/s00023-013-0263-7
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).
19 pages, 1 figure
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