 96307 Barbaroux J.M., Combes J.M., Hislop P.D.
 Landau hamiltonians with unbounded random potentials
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Jun 18, 96

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Abstract. We prove the almost sure existence of pure point spectrum
for the twodimensional Landau Hamiltonian with an unbounded
Andersonlike 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 $\epsilon > 0$.
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