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

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.

20 pages, 1 figure

References in corpus (8)

• Random-Matrix Theory of Quantum Transport
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• DMPK Equation for Transmission Eigenvalues in Metallic Carbon Nanotubes
• Quantum Electron Transport in Disordered Wires with Symplectic Symmetry
• Conductance of Disordered Wires with Symplectic Symmetry: Comparison between Odd- and Even-Channel Cases
• Feynman's Propagator Applied to Network Models of Localization
• Random-Matrix Theory of Electron Transport in Disordered Wires with Symplectic Symmetry
• Conductance and Its Variance of Disordered Wires with Symplectic Symmetry in the Metallic Regime

Cited by in corpus (4)

• Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels
• Anomalous Enhancement of the Boltzmann Conductivity in Disordered Zigzag Graphene Nanoribbons
• Conductance Distribution in Disordered Quantum Wires with a Perfectly Conducting Channel
• Nonuniversal Shot Noise in Disordered Quantum Wires with Channel-Number Imbalance