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arXiv:1310.0514 [math-ph]AbstractReferencesReviewsResources

On fluctuations and localization length for the Anderson model on a strip

Ilia Binder, Michael Goldstein, Mircea Voda

Published 2013-10-01, updated 2014-05-04Version 2

We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the Green's function in a finite box. This implies an effective estimate by $ \exp(CW^2) $ for the localization length of the Anderson model on the strip of width $ W $. The results are obtained, actually, for a more general model with a non-local operator in the vertical direction.

Comments: 20 pages; v2: fixed a number of typos and small mistakes, added to the introduction
Categories: math-ph, math.MP, math.SP
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