Resonant tunneling in a system with correlated pure point spectrum
Mathematical Physics
2019-10-29 v2 math.MP
Abstract
We consider resonant tunneling between disorder localized states in a potential energy displaying perfect correlations over large distances. The phenomenon described here may be of relevance to models exhibiting many-body localization. Furthermore, in the context of single particle operators, our examples demonstrate that exponential resolvent localization does not imply exponential dynamical localization for random Schr\"odinger operators with correlated potentials.
Keywords
Cite
@article{arxiv.1705.03039,
title = {Resonant tunneling in a system with correlated pure point spectrum},
author = {Rajinder Mavi and Jeffrey Schenker},
journal= {arXiv preprint arXiv:1705.03039},
year = {2019}
}
Comments
24 pages; exposition of the results and arguments were substantially revised