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

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

2002-12-31

arxiv.org/abs/math-ph/0212078v1

Physics

Mathematical Physics

Scientific paper

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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