Anderson localization for a multi-particle model with alloy-type external potential
Mathematical Physics
2010-04-09 v1 math.MP
Abstract
We establish exponential localization for a multi-particle Anderson model in a Euclidean space of an arbitrary dimension, in presence of a non-trivial short-range interaction and an alloy-type random external potential. Specifically, we prove that all eigenfunctions with eigenvalues near the lower edge of the spectrum decay exponentially.
Cite
@article{arxiv.1004.1300,
title = {Anderson localization for a multi-particle model with alloy-type external potential},
author = {Anne Boutet de Monvel and Victor Chulaevsky and Peter Stollmann and Yuri Suhov},
journal= {arXiv preprint arXiv:1004.1300},
year = {2010}
}