Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire | Zendy

C. W. J. Beenakker | Zendy; B. Rejaei | Zendy

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Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire

Author(s) -

C. W. J. Beenakker,

B. Rejaei

Publication year - 1993

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.71.3689

Subject(s) - eigenvalues and eigenvectors , random matrix , logarithm , physics , transmission (telecommunications) , distribution (mathematics) , matrix (chemical analysis) , fermion , fokker–planck equation , statistical physics , quantum mechanics , mathematical analysis , mathematics , materials science , partial differential equation , electrical engineering , composite material , engineering

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

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