Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect

TL;DR

This paper provides an exact calculation of the universal conductance scaling function for tunneling between quantum Hall edges at filling factor 1/3, using advanced theoretical methods.

Contribution

It introduces an exact computation of the universal conductance scaling function for the fractional quantum Hall effect at ν=1/3, combining thermodynamic Bethe ansatz and Boltzmann equation techniques.

Findings

Exact universal scaling function derived

Results match recent experimental measurements

Provides theoretical foundation for quantum Hall tunneling analysis

Abstract

The conductance for tunneling through a point contact between two $\nu =1/3$ quantum Hall edges is described by a universal scaling function, which has recently been measured experimentally. We compute this universal function exactly, by using the thermodynamic Bethe ansatz and a Boltzmann equation.