A new universality class describing the insulating regime of disordered wires with strong spin-orbit scattering

TL;DR

This paper introduces a new universality class for the distribution of transmission eigenvalues in disordered wires with strong spin-orbit scattering, extending the understanding of localization phenomena.

Contribution

It identifies a novel universality class characterized by an additional index, expanding the theoretical framework for disordered systems with spin-orbit effects.

Findings

Distribution described by a new universality class with indices β and η

Mapping to Calogero-Sutherland model provides analytical insights

Enhances understanding of localization in systems with magnetic field and spin-orbit scattering

Abstract

We discuss the distribution of transmission eigenvalues in the strongly localized regime in the presence of both a magnetic field and spin--orbit scattering. We show that, under suitable conditions, this distribution can be described by a new universality class labelled not only by the index $\beta$ but also by a new index $\eta$. This result is obtained by mapping the problem into that of a suitable Calogero-Sutherland model.