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

Pavel Vagner, Peter Markoš, Martin Moško, and Thomas Schäpers
Phys. Rev. B 67, 165316 – Published 24 April 2003
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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).

  • Received 24 July 2002

DOI:https://doi.org/10.1103/PhysRevB.67.165316

©2003 American Physical Society

Authors & Affiliations

Pavel Vagner1,2,*, Peter Markoš3, Martin Moško2,1, and Thomas Schäpers1

  • 1Institut für Schichten und Grenzflächen, Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
  • 2Institute of Electrical Engineering, Slovak Academy of Sciences, Dúbravská cesta 9, 841 04 Bratislava, Slovakia
  • 3Department of Complex Physical Systems, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovakia

  • *Electronic address: p.vagner@fz-juelich.de

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Vol. 67, Iss. 16 — 15 April 2003

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