Shot noise thermometry of the quantum Hall edge states

TL;DR

This paper investigates how Coulomb interactions affect quantum Hall edge states at filling factor 2, revealing a linear noise temperature dependence on voltage bias and a non-analytical relation with QPC transparency, confirmed by numerical calculations.

Contribution

It introduces a non-equilibrium bosonization approach to analyze Coulomb effects on quantum Hall edge states, highlighting unique stationary state features and noise temperature behavior.

Findings

Noise temperature is linear in voltage bias.

Noise temperature scales as Tln(1/T) at low transparency.

Numerical calculations confirm theoretical predictions.

Abstract

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of charge dynamics, edge states evolve to a non-equilibrium stationary state with a number of specific features. In particular, the noise temperature of a weak backscattering current between edge channels is linear in voltage bias applied at the QPC, independently of the interaction strength. In addition, it is a non-analytical function of the QPC transparency T and scales as Tln(1/T) at T<< 1. Our predictions are confirmed by exact numerical calculations.