Universal Transport Properties of Disordered Quantum Wires

TL;DR

This paper derives universal transport properties for disordered quantum wires across all ten universality classes using the DMPK approach, highlighting differences in new classes like chiral and Bogoliubov-de Gennes.

Contribution

It provides the first comprehensive calculation of universal transport quantities for all ten universality classes of disordered quantum wires using the DMPK equation.

Findings

Universal correlation functions are obtained for all classes.

Transport properties differ notably for chiral and Bogoliubov-de Gennes classes.

Asymptotic solutions of the DMPK equation are used for analysis.

Abstract

For disordered quantum wires which belong to all ten universality classes, the universal quantities of transport properties are obtained through DMPK approach. Calculated are the universal parts of one- and two-point correlation functions for probability distribution functions of transmission eigenvalues. In this analysis, the asymptotic solution of DMPK equation is used. Transport properties for new universality classes(chiral and Bogoliubov-de Gennes classes) are discussed comparing with those for standard class.