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Localization for random operators with non-monotone potentials with exponentially decaying correlations (1006.5233v1)
Published 27 Jun 2010 in math.SP, math-ph, and math.MP
Abstract: 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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