Conductance statistics near the Anderson transition
P. Markos
TL;DR
This paper reviews recent numerical data on conductance distributions in disordered systems near the Anderson transition, highlighting non-analytical and non-Gaussian behaviors in different regimes and dimensions.
Contribution
It provides a comprehensive review of conductance statistics near the Anderson transition, emphasizing new findings on distribution shapes in 3D and 4D systems.
Findings
Critical conductance distribution is non-analytical in 3D and 4D.
Distribution of ln g in localized 3D systems is non-Gaussian.
Recent numerical data reveal complex conductance behavior near the transition.
Abstract
Paper reviews recent numerical data for the conductance distribution of disordered systems in the critical regime and in the localized regime. Of particular interest is the non-analytical form of the critical conductance distribution in the 3D and 4D systems, non-Gaussian form of the distribution of P(ln g) in localized 3D systems.
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