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Anderson Localization for Schrödinger Operators on ℤ with Potentials Given by the Skew–Shift

✍ Scribed by Jean Bourgain; Michael Goldstein; Wilhelm Schlag


Publisher
Springer
Year
2001
Tongue
English
Weight
266 KB
Volume
220
Category
Article
ISSN
0010-3616

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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,