Transport through dirty interfaces
Author(s) -
Kees M. Schep,
G. Bauer
Publication year - 1997
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.56.15860
Subject(s) - conductance , scattering , physics , eigenvalues and eigenvectors , perpendicular , reflection (computer programming) , condensed matter physics , distribution function , matrix (chemical analysis) , transmission (telecommunications) , plane (geometry) , function (biology) , complex plane , range (aeronautics) , convection–diffusion equation , statistical physics , quantum mechanics , mathematical analysis , materials science , mathematics , geometry , mechanics , engineering , computer science , electrical engineering , composite material , programming language , evolutionary biology , biology
The transport properties of a single dirty interface are calculated starting from the Schrodinger equation. The disordered scattering potential is modeled by a high density of short-range scatterers, randomly distributed in a plane perpendicular to the direction of transport. The distribution function of transmission matrix eigenvalues is shown to be universal in the sense that it scales with a single parameter, the conductance, and does not depend on the dimension or the precise values of the microscopic parameters. It differs, however, from the well-known universal distribution for diffusive bulk conductors. These general results are supported by ana- lytical and numerical calculations of the conductance and the angular dependence of the transmission and reflection probabilities as a function of the microscopic parameters. The conductance fluctuations are nonuni- versal and a localization transition does not occur. @S0163-1829~97!00348-2#
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