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Localization in a strongly disordered system: A perturbation approach

Marco Frasca
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Abstract

We prove that a strongly disordered two-dimensional system localizes with a localization length given analytically. We get a scaling law with a critical exponent is $ν=1$ in agreement with the Chayes criterion $ν\ge 1$. The case we are considering is for off-diagonal disorder. The method we use is a perturbation approach holding in the limit of an infinitely large perturbation as recently devised and the Anderson model is considered with a Gaussian distribution of disorder. The localization length diverges when energy goes to zero with a scaling law in agreement to numerical and theoretical expectations.

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Marco Frasca. 2008-10-10. Localization in a strongly disordered system: A perturbation approach. https://doi.org/10.1142/s0217979213500513

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