Evidence for the Luttigger liquid density of states in transport across the incompressible stripe at fractional filling factors

TL;DR

This paper provides experimental evidence for the Luttigger liquid density of states in the transport properties of the incompressible stripe at fractional quantum Hall edge states, analyzing how equilibration length varies with voltage and temperature.

Contribution

It presents the first experimental verification of the Luttigger liquid density of states in fractional quantum Hall edge transport through power-law dependencies.

Findings

Equilibration length depends on voltage imbalance and temperature.

Dependencies follow a power-law form.

Supports the Luttigger liquid density of states model.

Abstract

We experimentally investigate transport across the incompressible stripe at the sample edge in the fractional quantum Hall effect regime at bulk filling factors $\nu=2/3$ and $\nu=2/5$. We obtain the dependence of the equilibration length, that is a phenomenological characteristics of the transport, on the voltage imbalance and the temperature, at high voltage imbalances. These dependencies are found to be of the power-law form, which is a strong evidence for the Luttigger liquid density of states.