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Reconciling Conductance Fluctuations and the Scaling Theory of Localization

Keith Slevin·Peter Markoš·Tomi Ohtsuki
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Abstract

We reconcile the phenomenon of mesoscopic conductance fluctuations with the single parameter scaling theory of the Anderson transition. We calculate three averages of the conductance distribution: $\exp(<\ln g>)$, $ $ and $1/ $ where $g$ is the conductance in units of $e^2/h$ and $R=1/g$ is the resistance and demonstrate that these quantities obey single parameter scaling laws. We obtain consistent estimates of the critical exponent from the scaling of all these quantities.

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Keith Slevin, Peter Markoš, Tomi Ohtsuki. 2001-04-21. Reconciling Conductance Fluctuations and the Scaling Theory of Localization. https://doi.org/10.1103/physrevlett.86.3594

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