Wegner estimate for Landau-breather Hamiltonians

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.

References in corpus (3)

• Scale-free uncertainty principles and Wegner estimates for random breather potentials
• Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations
• Lifshitz asymptotics for Hamiltonians monotone in the randomness

Cited by in corpus (2)

• Scale-free unique continuation principle, eigenvalue lifting and Wegner estimates for random Schrödinger operators
• Wegner estimate and disorder dependence for alloy-type Hamiltonians with bounded magnetic potential