Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire
- 29 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (22) , 3689-3692
- https://doi.org/10.1103/physrevlett.71.3689
Abstract
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.Keywords
This publication has 21 references indexed in Scilit:
- Universality in the random-matrix theory of quantum transportPhysical Review Letters, 1993
- New random matrix theory of scattering in mesoscopic systemsPhysical Review Letters, 1993
- Disordered wires from a geometric viewpointJournal of Physics A: General Physics, 1990
- Wave propagation through disordered media and universal conductance fluctuationsPhysical Review Letters, 1990
- Macroscopic approach to multichannel disordered conductorsAnnals of Physics, 1988
- Random-Matrix Theory and Universal Statistics for Disordered Quantum ConductorsPhysical Review Letters, 1987
- Active Transmission Channels and Universal Conductance FluctuationsEurophysics Letters, 1986
- Universal Conductance Fluctuations in MetalsPhysical Review Letters, 1985
- Random Matrices in PhysicsSIAM Review, 1967
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum MechanicsJournal of Mathematical Physics, 1962