Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential

Details Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential

2009-04-19

arxiv.org/abs/0904.2891v1

Physics

Mathematical Physics

Scientific paper

Consider $\Gamma$, a non-degenerate lattice in $\R^2$ and a constant magnetic
field $B$ with a flux though a cell of $\Gamma$ that is a rational multiple of
$2\pi$. We prove that for a generic $\Gamma$-periodic potential $V$, the
spectrum of the Landau Hamiltonian with magnetic field $B$ and periodic
potential $V$ is purely absolutely continuous.

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