Localization for random operators with non-monotone potentials with exponentially decaying correlations
Spectral Theory
2010-06-29 v1 Mathematical Physics
math.MP
Abstract
I consider random Schr\"odinger operators with exponentially decaying single site potential, which is allowed to change sign. For this model, I prove Anderson localization both in the sense of exponentially decaying eigenfunctions and dynamical localization. Furthermore, the results imply a Wegner-type estimate strong enough to use in classical forms of multi-scale analysis.
Cite
@article{arxiv.1006.5233,
title = {Localization for random operators with non-monotone potentials with exponentially decaying correlations},
author = {Helge Krueger},
journal= {arXiv preprint arXiv:1006.5233},
year = {2010}
}