Wegner estimate for Landau-breather Hamiltonians
classification
🧮 math-ph
math.APmath.MP
keywords
estimatehamiltoniansrandomwegnerappropriateassumptionsbreatherchallenge
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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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