Dynamical Localization for Random Band Matrices up to $W\ll N^{1/4}$
Mathematical Physics
2022-07-07 v2 math.MP
Probability
Abstract
We prove that a large class of Gaussian random band matrices with band width exhibits dynamical Anderson localization at all energies when . The proof uses the fractional moment method and an adaptive Mermin--Wagner style shift.
Keywords
Cite
@article{arxiv.2206.05545,
title = {Dynamical Localization for Random Band Matrices up to $W\ll N^{1/4}$},
author = {Giorgio Cipolloni and Ron Peled and Jeffrey Schenker and Jacob Shapiro},
journal= {arXiv preprint arXiv:2206.05545},
year = {2022}
}
Comments
25 pages