Exact results for the level density and two-point correlation function of the transmission-matrix eigenvalues in quasi-one-dimensional conductors

A. M. S. Macêdo and J. T. Chalker
Phys. Rev. B 49, 4695 – Published 15 February 1994
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Abstract

We study transport properties of phase-coherent quasi-one-dimensional disordered conductors in the diffusive regime, in terms of the eigenvalue distribution of the two-terminal transmission matrix. Using an expansion in inverse powers of the classical conductance, we calculate the average transmission eigenvalue density and the two-point correlation function for fluctuations in the density. A formula for the average value and the variance of a general linear statistic on the transmission eigenvalues is obtained. Our results confirm an earlier hypothesis, based on random-matrix theory, that fluctuations are universal in the diffusive regime and ultimately determined by level repulsion.

  • Received 30 September 1993

DOI:https://doi.org/10.1103/PhysRevB.49.4695

©1994 American Physical Society

Authors & Affiliations

A. M. S. Macêdo and J. T. Chalker

  • Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom

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Vol. 49, Iss. 7 — 15 February 1994

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