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• W1964733548 abstract "We consider the 2D Landau Hamiltonian H perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges in the spectrum of H. If a given edge coincides with a Landau level, we obtain different asymptotic formulae for power-like, exponential sub-Gaussian, and super-Gaussian decay of the one-site potential. If the edge is away from the Landau levels, we impose a rational-flux assumption on the magnetic field, consider compactly supported one-site potentials, and formulate a theorem which is analogous to a result obtained by the first author and T. Wolff in [25] for the case of a vanishing magnetic field." @default.
• W1964733548 created "2016-06-24" @default.
• W1964733548 creator A5043904351 @default.
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• W1964733548 date "2006-08-19" @default.
• W1964733548 modified "2023-10-03" @default.
• W1964733548 title "Lifshitz Tails in Constant Magnetic Fields" @default.
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• W1964733548 doi "https://doi.org/10.1007/s00220-006-0059-4" @default.
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