Localization for random operators with non-monotone potentials with exponentially decaying correlations

Details Localization for random operators with non-monotone potentials with exponentially decaying correlations Localization for random operators with non-monotone potentials with exponentially decaying correlations

2010-06-27

arxiv.org/abs/1006.5233v1

Mathematics

Spectral Theory

Scientific paper

I consider random Schr\"odinger 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.

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