Dynamical delocalization in random Landau Hamiltonians
Mathematical Physics
2009-04-24 v1 math.MP
Abstract
We prove the existence of dynamical delocalization for random Landau Hamiltonians near each Landau level. Since typically there is dynamical localization at the edges of each disordered-broadened Landau band, this implies the existence of at least one dynamical mobility edge at each Landau band, namely a boundary point between the localization and delocalization regimes, which we prove to converge to the corresponding Landau level as either the magnetic field or the disorder goes to zero.
Cite
@article{arxiv.math-ph/0412070,
title = {Dynamical delocalization in random Landau Hamiltonians},
author = {Francois Germinet and Abel Klein and Jeffrey H. Schenker},
journal= {arXiv preprint arXiv:math-ph/0412070},
year = {2009}
}