Reconciling Conductance Fluctuations and the Scaling Theory of Localization

Details Reconciling Conductance Fluctuations and the Scaling Theory of Localization Reconciling Conductance Fluctuations and the Scaling Theory of Localization

2001-04-21

arxiv.org/abs/cond-mat/0104403v1

Physical Review Letters 86, 3594 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.86.3594

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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