Comprehensive proofs of localization in Anderson models with interaction. I. Two-particle localization estimates
Mathematical Physics
2014-10-07 v1 math.MP
Abstract
We discuss the techniques and results of the multi-particle Anderson localization theory for disordered quantum systems with nontrivial interaction. After a detailed presentation of the approach developed earlier by Aizenman and Warzel, we extend their results to the models with exponentially decaying, infinite-range interaction.
Keywords
Cite
@article{arxiv.1410.1079,
title = {Comprehensive proofs of localization in Anderson models with interaction. I. Two-particle localization estimates},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1410.1079},
year = {2014}
}