On two-particle Anderson localization at low energies
Mathematical Physics
2014-01-03 v3 math.MP
Abstract
We prove exponential spectral localization in a two-particle lattice Anderson model, with a short-range interaction and external random i.i.d. potential, at sufficiently low energies. The proof is based on the multi-particle multi-scale analysis developed earlier by Chulaevsky and Suhov (2009) in the case of high disorder. Our method applies to a larger class of random potentials than in Aizenman and Warzel (2009) where dynamical localization was proved with the help of the fractional moment method.
Keywords
Cite
@article{arxiv.1203.1207,
title = {On two-particle Anderson localization at low energies},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:1203.1207},
year = {2014}
}