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Persistence of Anderson localization in Schrödinger operators with decaying random potentials

✍ Scribed by Alexander Figotin; François Germinet; Abel Klein; Peter Müller


Book ID
107382377
Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
249 KB
Volume
45
Category
Article
ISSN
0004-2080

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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,