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Percolation in a symmetric random potential

✍ Scribed by M. Hund


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
492 KB
Volume
175
Category
Article
ISSN
0378-4371

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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,