Wegner estimate for Landau-breather Hamiltonians

Published 1 Jul 2016 in math-ph, math.AP, and math.MP | (1607.00187v1)

Abstract: We consider Landau Hamiltonians with a weak coupling random electric potential of breather type. Under appropriate assumptions we prove a Wegner estimate. It implies the Hoelder continuity of the integrated density of states. The main challenge is the problem how to deal with non-linear dependence on the random parameters.

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