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On the distribution of transmission eigenvalues in disordered wires

arXiv:cond-mat/9410097 · doi:10.1103/PhysRevLett.74.2776

Abstract

We solve the Dorokhov-Mello-Pereyra-Kumar equation which describes the evolution of an ensamble of disordered wires of increasing length in the three cases $β=1,2,4$. The solution is obtained by mapping the problem in that of a suitable Calogero-Sutherland model. In the $β=2$ case our solution is in complete agreement with that recently found by Beenakker and Rejaei.

4 pages, Revtex, few comments added at the end of the paper