Article
Preprint
Localization for random operators with non-monotone potentials with exponentially decaying correlations
Helge Krüger
I consider random Schrödinger operators with exponentially decaying
single site potential, which is allowed to change sign. For this
model, I prove Anderson localization both in the sense of exponentially
decaying eigenfunctions and dynamical localization. Furthermore,
the results imply a Wegner-type estimate strong enough to use
in classical forms of multi-scale analysis.
MSC2000: Primary 82B44; Secondary 35J10, 60H25, 81Q10
Keywords: Anderson localization, correlated Anderson model