Localization and Eigenvalue Statistics for the Lattice Anderson model with Discrete Disorder
Mathematical Physics
2021-05-25 v4 Disordered Systems and Neural Networks
math.MP
Spectral Theory
Abstract
We prove localization and probabilistic bounds on the minimum level spacing for the Anderson tight-binding model on the lattice in any dimension, with single-site potential having a discrete distribution taking N values, with N large.
Keywords
Cite
@article{arxiv.1705.01916,
title = {Localization and Eigenvalue Statistics for the Lattice Anderson model with Discrete Disorder},
author = {John Z. Imbrie},
journal= {arXiv preprint arXiv:1705.01916},
year = {2021}
}
Comments
46 pages, 1 figure. v4: minor changes, final version to appear in Reviews in Mathematical Physics