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Springer, Berlin, Heidelberg

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10.1006/taap.1996.8098

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Finite size scaling approach to anderson localisat

Authors: J L Pichard G Sarma
Publish Date: 1981
Volume: , Issue: , Pages: 262-266
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Abstract

In three dimensions there is a transition at a critical value Wc of the disorder parameter from a region of exponentially localized states to a region of extended states When W decreases to Wc we find a value equal to 066 for the critical exponent ν relative to the divergence of the localisation lengthIn two dimensions a critical value Wc of the disorder parameter separates a region of exponentially localized states W Wc from a region of “quasi extended” states which are non square summable and fall off as R−ηW We give the variation of the exponent ηW in the whole “quasi extended” region On the other hand we show that the divergence of the localisation length when W decreases to Wc is now controlled by an essential singularity


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