Resonant tunneling in a system with correlated pure point spectrum
arXiv:1705.03039 · doi:10.1063/1.5075623
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 Schrödinger operators with correlated potentials.
24 pages; exposition of the results and arguments were substantially revised