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Coherent resistance of a disordered 1D wire: Expressions for all moments and evidence for non-Gaussian distribution

P. Vagner·P. Markos·M. Mosko·Th. Schaepers
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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 $ρ$. By means of these expressions we show analytically that the distribution $P(f)$ of the variable $f=\ln(1+ρ)$ 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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P. Vagner, P. Markos, M. Mosko, Th. Schaepers. 2002-12-06. Coherent resistance of a disordered 1D wire: Expressions for all moments and evidence for non-Gaussian distribution. https://doi.org/10.1103/physrevb.67.165316

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