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arxiv: math-ph/0212078 · v1 · submitted 2002-12-31 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords magneticanisotropicclassicaldecaydensityimpurityintegratedlifshits
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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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