`One-sided' log-normal distribution of conductances of a disordered quantum wire

Abstract

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P(g) for a quasi one dimensional wire in the absence of electron-electron interaction. We show that in the crossover region between the metallic and insulating regimes, P(g) is highly asymmetric, given by an essentially `one sided' log-normal distribution. For larger disorder, the tail of the log-normal distribution for g > 1 is cut off by a Gaussian.

7 pages, 2 figures. Summary and new references added. Final version, published in Phys. Rev. Lett

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