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arXiv · 1705.03039

Resonant tunneling in a system with correlated pure point spectrum

Rajinder Mavi·Jeffrey Schenker
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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.

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Rajinder Mavi, Jeffrey Schenker. 2018-10-20. Resonant tunneling in a system with correlated pure point spectrum. https://doi.org/10.1063/1.5075623

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