Barbaroux J.M., Combes J.M., Hislop P.D.
Landau hamiltonians with unbounded random potentials
(47K, LaTeX)

ABSTRACT.  We prove the almost sure existence of pure point spectrum
for the two-dimensional Landau Hamiltonian with an unbounded
Anderson-like random potential, provided that the magnetic field
is sufficiently large. We also prove that the integrated density
of states is Lipschitz continuous away from the Landau energies
$E_n(B)$. For these models, the probability distribution of 
the coupling constant is assumed to be absolutely continuous. The
corresponding density $g$ has support equal to $\R$, and satisfies
$\mbox{sup}_{\lambda \in \R} \{ \lambda^{ 3 + \epsilon } g (
\lambda ) \} < \infty $, for some $\epsilon > 0$.