Localization for Schrodinger operators with random vector potentials
Mathematical Physics
2007-08-15 v1 math.MP
Spectral Theory
Abstract
We prove Anderson localization at the internal band-edges for periodic magnetic Schr{\"o}dinger operators perturbed by random vector potentials of Anderson-type. This is achieved by combining new results on the Lifshitz tails behavior of the integrated density of states for random magnetic Schr{\"o}dinger operators, thereby providing the initial length-scale estimate, and a Wegner estimate, for such models.
Cite
@article{arxiv.0708.1774,
title = {Localization for Schrodinger operators with random vector potentials},
author = {F. Ghribi and P. D. Hislop and F. Klopp},
journal= {arXiv preprint arXiv:0708.1774},
year = {2007}
}