Localization for Schrodinger operators with random vector potentials

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We prove Anderson localization at the internal band-edges for periodic magnetic Schr{ö}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{ö}dinger operators, thereby providing the initial length-scale estimate, and a Wegner estimate, for such models.

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Mathematical Physics, Spectral Theory, 35;81

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http://salesiana.dossiersoluciones.com/handle/123456789/136025

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.1774
 http://arxiv.org/abs/0708.1774

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arXiv