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arXiv · 1310.0514

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

Ilia Binder·Michael Goldstein·Mircea Voda
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Abstract

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.

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Ilia Binder, Michael Goldstein, Mircea Voda. 2014-05-04. On fluctuations and localization length for the Anderson model on a strip. https://arxiv.org/abs/1310.0514

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