Conductance and Its Variance of Disordered Wires with Symplectic Symmetry in the Metallic Regime

Abstract

The conductance of disordered wires with symplectic symmetry is studied by a random-matrix approach. It has been shown that the behavior of the conductance in the long-wire limit crucially depends on whether the number of conducting channels is even or odd. We focus on the metallic regime where the wire length is much smaller than the localization length, and calculate the ensemble-averaged conductance and its variance for both the even- and odd-channel cases. We find that the weak-antilocalization correction to the conductance in the odd-channel case is equivalent to that in the even-channel case. Furthermore, we find that the variance dose not depend on whether the number of channels is even or odd. These results indicate that in contrast to the long-wire limit, clear even-odd differences cannot be observed in the metallic regime.

arXiv comment9pages, accepted for publication in JPSJ

References in corpus (4)

• Random-Matrix Theory of Quantum Transport
• 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

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• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• Random-Matrix Theory of Electron Transport in Disordered Wires with Symplectic Symmetry
• Conductance Fluctuations in Disordered Wires with Perfectly Conducting Channels
• Conductance Distribution in Disordered Quantum Wires with a Perfectly Conducting Channel
• Asymptotic behavior of the conductance in disordered wires with perfectly conducting channels
• Symmetric space description of carbon nanotubes