The Scattering Approach to Quantum Electronic Transport

  • Pier A. Mello
Conference paper

Abstract

Some of the efforts to describe the problem of quantum electronic transport through a scattering approach are reviewed. Two-terminal devices are mainly considered. The key object in the scattering approach is the transfer matrix M, whose dimensionality is 2N, N being the number of channels, or transverse modes; M is multiplicative, so that the M for the total system is the product of the M’s of the various scatterers. The various statistical distributions are assumed isotropic, a multichannel generalization of the familiar random-phase model in one dimension. For a given distribution of the n individual M’s, the total M has a distribution that, as n grows, tends to a limit, depending only on one parameter: the elastic mean free path ; the limiting distribution is universal, in the sense that it has a unique form once is specified. One obtains excellent results for the weak-localization correction to the conductance, universal conductance fluctuations, the backscattering enhancement, long-range correlations of reflection or transmission coefficients and time-symmetry breaking by a magnetic field. An attempt to relax the assumption of isotropy, and also an extension to a three-terminal 1-dimensional device are briefly described.

Keywords

Entropy Coherence Expense Convolution Pier 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Pier A. Mello
    • 1
  1. 1.Instituto de FísicaUNAMMexico

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