Nonlogarithmic repulsion of transmission eigenvalues in a disordered wire.

作者: C. W. J. Beenakker , B. Rejaei

DOI: 10.1103/PHYSREVLETT.71.3689

关键词: Exact solutions in general relativityMagnetic fieldTransmission (telecommunications)Probability density functionQuantum mechanicsFokker–Planck equationPhysicsLogarithmEigenvalues and eigenvectorsDistribution function

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

参考文章(21)
Freeman J. Dyson, The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics Journal of Mathematical Physics. ,vol. 3, pp. 1199- 1215 ,(1962) , 10.1063/1.1703863
Eugene P. Wigner, Random Matrices in Physics Siam Review. ,vol. 9, pp. 1- 23 ,(1967) , 10.1137/1009001
K. A. Muttalib, J. -L. Pichard, A. Douglas Stone, Random-Matrix Theory and Universal Statistics for Disordered Quantum Conductors Physical Review Letters. ,vol. 59, pp. 2475- 2478 ,(1987) , 10.1103/PHYSREVLETT.59.2475
Keith Slevin, Taro Nagao, New random matrix theory of scattering in mesoscopic systems. Physical Review Letters. ,vol. 70, pp. 635- 638 ,(1993) , 10.1103/PHYSREVLETT.70.635
P. A. Lee, A. Douglas Stone, Universal conductance fluctuations in metals. Physical Review Letters. ,vol. 55, pp. 1622- 1625 ,(1985) , 10.1103/PHYSREVLETT.55.1622
C. W. J. Beenakker, Universality in the random-matrix theory of quantum transport Physical Review Letters. ,vol. 70, pp. 1155- 1158 ,(1993) , 10.1103/PHYSREVLETT.70.1155
P.A Mello, P Pereyra, N Kumar, Macroscopic approach to multichannel disordered conductors Annals of Physics. ,vol. 181, pp. 290- 317 ,(1988) , 10.1016/0003-4916(88)90169-8
A Huffmann, Disordered wires from a geometric viewpoint Journal of Physics A. ,vol. 23, pp. 5733- 5744 ,(1990) , 10.1088/0305-4470/23/24/015
S. Iida, H. A. Weidenmüller, J. A. Zuk, Wave propagation through disordered media and universal conductance fluctuations Physical Review Letters. ,vol. 64, pp. 583- 586 ,(1990) , 10.1103/PHYSREVLETT.64.583