Anderson localization for random magnetic Laplacian on Z^2

Laszlo Erdos, David Hasler

Published 2011-01-11Version 1

We consider a two dimensional magnetic Schroedinger operator on a square lattice with a spatially stationary random magnetic field. We prove Anderson localization near the spectral edges. We use a new approach to establish a Wegner estimate that does not rely on the monotonicity of the energy on the random parameters.