Localization for Schrodinger operators with random vector potentials

2007/08/13 by Ghribi, F., Hislop, P. D., Klopp, F.
#35 #81 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.0708.1774

Abstract

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

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