Abstract
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.
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Communicated by Jean Bellissard.
H. K. was supported by NSF grant DMS–0800100, a Nettie S. Auttrey followship, an Erwin Schrödinger junior research fellowship, and a fellowship of the Simons Foundation.
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Krüger, H. Localization for Random Operators with Non-monotone Potentials with Exponentially Decaying Correlations. Ann. Henri Poincaré 13, 543–598 (2012). https://doi.org/10.1007/s00023-011-0130-3
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DOI: https://doi.org/10.1007/s00023-011-0130-3