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Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay

Dirk Hundertmark·Werner Kirsch·Simone Warzel
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Abstract

We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schroedinger operator with repulsive Poissonian random potential in case its single impurity potential has a slow anisotropic decay at infinity. This so-called magnetic Lifshits tail is shown to coincide with the one of the corresponding classical integrated density of states.

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Dirk Hundertmark, Werner Kirsch, Simone Warzel. 2002-12-31. Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay. https://arxiv.org/abs/math-ph/0212078

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