Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels

Details Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels

2008-04-28

arxiv.org/abs/0804.4342v1

J. Phys. Soc. Jpn. 77 (2008) 054702

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 2 figures

Scientific paper

10.1143/JPSJ.77.054702

We study conductance fluctuations in disordered quantum wires with unitary symmetry focusing on the case in which the number of conducting channels in one propagating direction is not equal to that in the opposite direction. We consider disordered wires with $N+m$ left-moving channels and $N$ right-moving channels. In this case, $m$ left-moving channels become perfectly conducting, and the dimensionless conductance $g$ for the left-moving channels behaves as $g \to m$ in the long-wire limit. We obtain the variance of $g$ in the diffusive regime by using the Dorokhov-Mello-Pereyra-Kumar equation for transmission eigenvalues. It is shown that the universality of conductance fluctuations breaks down for $m \neq 0$ unless $N$ is very large.

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