Level Spacing for Non-Monotone Anderson Models
arXiv:1506.06692 · doi:10.1007/s10955-016-1461-8
Abstract
We prove localization and probabilistic bounds on the minimum level spacing for a random block Anderson model without monotonicity. Using a sequence of narrowing energy windows and associated Schur complements, we obtain detailed probabilistic information about the microscopic structure of energy levels of the Hamiltonian, as well as the support and decay of eigenfunctions.
39 pages, 3 figures, minor updates for published version. To appear in Jour. Stat. Phys