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Phys. Rev. Lett. 71, 3689 - 3692 (1993)

Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire

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C. W. J. Beenakker and B. Rejaei
Instituut-Lorentz, University of Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

Received 2 July 1993

An exact solution is presented of the Fokker-Planck equation which governs the evolution of an ensemble of disordered metal wires of increasing length, in a magnetic field. By a mapping onto a free-fermion problem, the complete probability distribution function of the transmission eigenvalues is obtained. The logarithmic eigenvalue repulsion of random-matrix theory is shown to break down for transmission eigenvalues which are not close to unity.


©1993 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.71.3689
DOI: 10.1103/PhysRevLett.71.3689
PACS: 72.10.Bg, 05.60.+w, 72.15.Rn, 73.50.Bk

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