Coherent resistance of a disordered 1D wire: Expressions for all moments and evidence for non-Gaussian distribution
Abstract
We study coherent electron transport in a one-dimensional wire with disorder modeled as a chain of randomly positioned scatterers. We derive analytical expressions for all statistical moments of the wire resistance . By means of these expressions we show analytically that the distribution P(f) of the variable f=(1+) is not exactly Gaussian even in the limit of weak disorder. In a strict mathematical sense, this conclusion is found to hold not only for the distribution tails but also for the bulk of the distribution P(f).
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