Transport properties in network models with perfectly conducting channels

TL;DR

This paper investigates how perfectly conducting channels affect transport in disordered electron systems using numerical simulations of two quantum network models, revealing unique conductance behaviors and decay properties.

Contribution

It introduces the study of perfectly conducting channels in different universality classes and their impact on conductance distributions and decay lengths.

Findings

Perfectly conducting channels alter conductance distribution functions.

Presence of these channels shortens the conductance decay length.

Distinct effects observed in unitary and symplectic classes.

Abstract

We study the transport properties of disordered electron systems that contain perfectly conducting channels. Two quantum network models that belong to different universality classes, unitary and symplectic, are simulated numerically. The perfectly conducting channel in the unitary class can be realized in zigzag graphene nano-ribbons and that in the symplectic class is known to appear in metallic carbon nanotubes. The existence of a perfectly conducting channel leads to novel conductance distribution functions and a shortening of the conductance decay length.