Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes

Details Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes

2001-07-19

arxiv.org/abs/cond-mat/0107395v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.87.116603

The full distribution of the conductance $P(G)$ in quasi-one-dimensional wires with rough surfaces is analyzed from the diffusive to the localization regime. In the crossover region, where the statistics is dominated by only one or two eigenchannels, the numerically obtained P(G) is found to be independent of the details of the system with the average conductance as the only scaling parameter. For < e^2/h, P(G) is given by an essentially ``one-sided'' log-normal distribution. In contrast, for e^2/h < <= 2e^2/h, the shape of P(G) remarkable agrees with those predicted by random matrix theory for two fluctuating transmission eigenchannels.

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