Classical Magnetic Lifshits Tails in Three Space Dimensions: Impurity Potentials with Slow Anisotropic Decay,

D. Hundertmark, W. Kirsch, S. Warzel

2003, v.9, Issue 4, 651-660


We determine the leading low-energy fall-off of the integrated density of states of a magnetic Schrodinger 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.

Keywords: Lifshits tails,magnetic Schrodinger operator


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