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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, exp(<lng>), <g>, and 1/<R>, 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(More)
We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the behavior of the probability distribution of wave function amplitudes is sufficient to characterize the transition. In combination with finite-size scaling, this formalism permits(More)
A review of recent progress in numerical studies of the Anderson transition in three dimensional systems is presented. From high precision calculations the critical exponent ν for the divergence of the localization length is estimated to be ν = 1.57 ± 0.02 for the orthogonal universality class, which is clearly distinguished from ν = 1.43 ± 0.03 for the(More)
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