Abstract:
We study the spectrum of the Landau Hamiltonian with a periodic electric potential. In the case of a rational magnetic flux, we present examples of nonconstant zero-mean periodic electric potentials $V\in C^{\infty}(\mathbb{R}^2;\mathbb{R})$ for which the spectrum has an eigenvalue at the second Landau level.
Keywords:Landau Hamiltonian, spectrum, periodic electric potential.
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