Macroscopic Approach to Correlations in the Electronic Transmission and Reflection from Disordered Conductors

Pier A. Mello; E. Akkermans; B. Shapiro

doi:10.1103/PhysRevLett.61.459

Macroscopic Approach to Correlations in the Electronic Transmission and Reflection from Disordered Conductors

Pier A. Mello, E. Akkermans, and B. Shapiro

Phys. Rev. Lett. 61, 459 – Published 25 July 1988

Abstract

Recently, a macroscopic theory of $N$ -channel disordered conductors treated the evolution (with the length $L$ ) of the probability distribution of the transfer matrix for the full conductor and allowed a theoretical description of the universal conductance fluctuations. Those results are used here to calculate the correlation function between transmission as well as reflection coefficients: In the case $L ≫ W$ (width of the sample), the former essentially coincides with the one obtained from microscopic perturbative calculations. The latter, on the other hand, is a prediction of the present model.

Received 25 April 1988

DOI:https://doi.org/10.1103/PhysRevLett.61.459

Authors & Affiliations

Pier A. Mello^1,*, E. Akkermans^2,†, and B. Shapiro³

¹Instituto de Física, Universidad Nacional Autónoma de México, 01000 México, D.F., México
²Institut Laue-Langevin, 38042 Grenoble Cedex, France
³Department of Physics, Technion-Israel Institute of Technology, 32000 Haifa, Israel

^*Also at Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Iztapalapa, D.F., Mexico.
^†Permanent address: Centre de Recherche sur les Très Basses Tempèratures, Centre National de la Recherche Scientifique, BP 166X, 38042 Grenoble Cedex, France.