Anderson localization for random magnetic Laplacian on Z^2
Mathematical Physics
2011-01-12 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1101.2139,
title = {Anderson localization for random magnetic Laplacian on Z^2},
author = {Laszlo Erdos and David Hasler},
journal= {arXiv preprint arXiv:1101.2139},
year = {2011}
}
Comments
11 pages