Quantum transport in $\nu=2/3$ spin-singlet quantum Hall edges

TL;DR

This paper investigates the temperature-dependent tunneling conductance in $ u=2/3$ spin-singlet quantum Hall edges, revealing distinct behaviors from polarized cases and proposing $G(T)$ as a probe for polarization transitions.

Contribution

It introduces a comprehensive analysis of $G(T)$ considering spin-flip tunneling, Zeeman splitting, and impurities, highlighting differences between spin-singlet and polarized states.

Findings

$G(T)$ exhibits unique crossover behaviors for spin-singlet edges.

$G(T)$ differs significantly from spin-polarized cases.

Proposes $G(T)$ as an experimental probe for polarization transitions.

Abstract

Tunneling conductance $G(T)$ through a constricted point contact is studied for the $\nu=2/3$ spin-singlet edges. Including spin-flip tunneling, Zeeman splitting and random magnetic impurities, we discuss the various crossovers of $G(T)$ as a function of the temperature $T$. The behavior of $G(T)$ is found to be quite different for spin-singlet and spin-polarized cases, and hence $G(T)$ is expected to serve as an experimental probe for the polarized-unpolarized transition at $\nu=2/3$.