Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels

Details Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels

2007-12-25

arxiv.org/abs/0712.4047v1

J. Phys. Soc. Jpn. 77 (2008) 014703

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 1 figure

Scientific paper

We study the conductance of disordered wires with unitary symmetry focusing on the case in which $m$ perfectly conducting channels are present due to the channel-number imbalance between two-propagating directions. Using the exact solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation for transmission eigenvalues, we obtain the average and second moment of the conductance in the long-wire regime. For comparison, we employ the three-edge Chalker-Coddington model as the simplest example of channel-number-imbalanced systems with $m = 1$, and obtain the average and second moment of the conductance by using a supersymmetry approach. We show that the result for the Chalker-Coddington model is identical to that obtained from the DMPK equation.

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