The trimmed Anderson model at strong disorder: localisation and its breakup
Mathematical Physics
2017-08-07 v3 math.MP
Abstract
We explore the properties of discrete random Schroedinger operators in which the random part of the potential is supported on a sub-lattice. In particular, we provide new conditions on the sub-lattice under which Anderson localisation happens at strong disorder, and provide examples in which it can be ruled out.
Keywords
Cite
@article{arxiv.1409.8009,
title = {The trimmed Anderson model at strong disorder: localisation and its breakup},
author = {Alexander Elgart and Sasha Sodin},
journal= {arXiv preprint arXiv:1409.8009},
year = {2017}
}
Comments
26 pages, no figures; revised version