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arXiv · 0712.4047

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

Yositake Takane
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Abstract

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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Yositake Takane. 2007-12-25. Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels. https://doi.org/10.1143/jpsj.77.014703

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