Physics – Mathematical Physics
Scientific paper
1999-10-22
AMS/IP Studies in Advanced Mathematics Vol. 16, pp. 233--247 (2000)
Physics
Mathematical Physics
Contribution to the Proceedings of the International Conference on Partial Differential Equations and Mathematical Physics, Bi
Scientific paper
For a charged quantum particle in the Euclidean plane subject to a perpendicular constant magnetic field and repulsive impurities, randomly distributed according to Poisson's law, we determine the leading low-energy fall-off of the integrated density of states in case the single-impurity potential has either super-Gaussian or regular sub-Gaussian long-distance decay. The forms of the resulting so-called magnetic Lifshits tails reflect the great variety of these decays. On the whole, we summarize, unify, and generalize results in previous works of K. Broderix, L. Erd\H{o}s, D.\ Hundertmark, W. Kirsch, and ourselves.
Hupfer Thomas
Leschke Hajo
Warzel Simone
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