Spin-charge separation in Quantum Hall Liquids

TL;DR

This paper demonstrates spin-charge separation in quantum Hall liquids at filling factor 2, showing that Coulomb interactions cause distinct spin and charge modes, which can be observed via tunneling measurements.

Contribution

It provides theoretical evidence of spin-charge separation in quantum Hall edge states with long-range Coulomb interactions, predicting specific tunneling density of states behavior.

Findings

Spin and charge modes separate in QH liquids at =2.

Tunneling density of states follows D()\u223c [-1/ ]^{1/2}.

Temperature and voltage dependence of tunneling current can reveal spin-charge separation.

Abstract

We have investigated chiral edges of a quantum Hall(QH) liquid at filling factor \nu=2. We find that spin and charge separate in the presence of the long-range Coulomb interaction, and the tunneling density of states(DOS) is given by D(\omega)\sim [-1/\ln\omega]^{1/2}. The measurement of the temperature and voltage dependences of the tunneling current should reveal the presence spin-charge separation.