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

TL;DR

This paper investigates the conductance and its variance in disordered wires with symplectic symmetry within the metallic regime, revealing that even-odd channel differences diminish in this regime, contrasting with long-wire behavior.

Contribution

It provides a detailed analysis of conductance and variance in the metallic regime, highlighting the absence of even-odd channel distinctions unlike in the long-wire limit.

Findings

Weak-antilocalization correction is the same for even and odd channels.

Conductance variance does not depend on channel parity.

No clear even-odd differences are observed 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.