Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels

Abstract

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 $m\ne 0$ unless $N$ is very large.

6 pages, 2 figures

References in corpus (2)

• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Chalker-Coddington model described by an S-matrix with odd dimensions

Cited by in corpus (3)

• Conductance quantization and transport gap in disordered graphene nanoribbons
• Edge Effect on Electronic Transport Properties of Graphene Nanoribbons and Presence of Perfectly Conducting Channel
• Conductance Distribution in Disordered Quantum Wires with a Perfectly Conducting Channel