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Anderson Localization at Band Edges for Random Magnetic Fields

✍ Scribed by László Erdős; David Hasler


Book ID
113072612
Publisher
Springer
Year
2012
Tongue
English
Weight
807 KB
Volume
146
Category
Article
ISSN
0022-4715

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We study the spectral properties of the magnetic Schro dinger operator with a random potential. Using results from microlocal analysis and percolation, we show that away from the Landau levels, the spectrum is almost surely pure point with (at least) exponentially decaying eigenfunctions. Moreover,