Localization for Schrodinger operators with random vector potentials

Details Localization for Schrodinger operators with random vector potentials Localization for Schrodinger operators with random vector potentials

2007-08-13

arxiv.org/abs/0708.1774v1

Physics

Mathematical Physics

Scientific paper

We prove Anderson localization at the internal band-edges for periodic magnetic Schr{\"o}dinger operators perturbed by random vector potentials of Anderson-type. This is achieved by combining new results on the Lifshitz tails behavior of the integrated density of states for random magnetic Schr{\"o}dinger operators, thereby providing the initial length-scale estimate, and a Wegner estimate, for such models.

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