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Scaling of the conductance distribution near the Anderson transition

Keith Slevin·Peter Markoš·Tomi Ohtsuki
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Abstract

The single parameter scaling hypothesis is the foundation of our understanding of the Anderson transition. However, the conductance of a disordered system is a fluctuating quantity which does not obey a one parameter scaling law. It is essential to investigate the scaling of the full conductance distribution to establish the scaling hypothesis. We present a clear cut numerical demonstration that the conductance distribution indeed obeys one parameter scaling near the Anderson transition.

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Keith Slevin, Peter Markoš, Tomi Ohtsuki. 2002-11-15. Scaling of the conductance distribution near the Anderson transition. https://doi.org/10.1103/physrevb.67.155106

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