Exact calculation of current correlations and admittance in the fractional quantum Hall regime

TL;DR

This paper presents an exact method to calculate finite frequency current correlations and admittance in fractional quantum Hall edge states, covering various regimes of backscattering, frequency, voltage, and temperature.

Contribution

It introduces a refermionization approach for exact calculations of current correlations and admittance in fractional quantum Hall systems across diverse conditions.

Findings

Auto- and cross-correlations show distinct frequency dependencies

Results are valid for any backscattering amplitude, frequency, voltage, and temperature

Framework applies to multiple regimes of the fractional quantum Hall effect

Abstract

In this work, we focus on the finite frequency current-current correlations between edge states in a fractional quantum Hall two dimensional gas and on their relations to the quantum admittance. Using a refermionization method, we calculate these quantities within the same framework. Our results apply whatever the values of backscattering amplitude, frequency, voltage and temperature, allowing us to reach different regimes. Auto-correlations and cross-correlations exhibit distinct frequency dependencies that we discuss in detail.