Non-equilibrium noise in transport across a tunneling contact between $\nu = 2/3$ fractional quantum Hall edges

TL;DR

This paper develops a quantitative theoretical model based on chiral Luttinger liquid theory to explain experimental observations of upstream neutral modes at the fractional quantum Hall filling factor 2/3, confirming their existence and analyzing non-equilibrium effects.

Contribution

The paper provides a detailed theoretical model that quantitatively matches experimental data, confirming upstream neutral modes and extracting non-equilibrium information at ν=2/3.

Findings

Good agreement between theory and experiment supports neutral mode existence.

Power-law relation between neutral mode temperature and injected charge current.

Model enables quantitative analysis of non-equilibrium processes in quantum Hall edges.

Abstract

In a recent experimental paper [1] a qualitative confirmation of the existence of upstream neutral modes at $\nu = 2/3$ quantum Hall edge was reported. Using the chiral Luttinger liquid theory of quantum Hall edge we develop a quantitative model of the experiment [1]. A good quantitative agreement of our theory with the experimental data reinforces the conclusion of existence of the upstream neutral mode. Our model also enables us to extract important quantitative information about non-equilibrium processes in Ohmic and tunneling contacts from the experimental data. In particular, for $\nu = 2/3$, we find a power-law dependence of the neutral mode temperature on the charge current injected from the Ohmic contact.