Reconciling Conductance Fluctuations and the Scaling Theory of Localization

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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: (< g>), <g> and 1/<R> where g is the conductance in units of e²/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.