Finite frequency noise spectroscopy for fractional Hall states at {\nu} = 5/2

TL;DR

This paper proposes a method using finite frequency noise spectroscopy with an LC circuit to distinguish between different non-Abelian edge state models at the fractional quantum Hall state { u} = 5/2, by analyzing charge and scaling dimensions.

Contribution

It introduces a spectroscopic approach to differentiate Pfaffian and anti-Pfaffian models through noise measurements, including temperature effects on measurement sensitivity.

Findings

Spectroscopic signatures differentiate edge state models.

Temperature tuning enhances measurement sensitivity.

Method enables separate inspection of charge and scaling dimensions.

Abstract

We investigate the finite frequency noise of a quantum point contact at filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations inspecting separately their charge and scaling dimensions. We thus compare the behaviour of the Pfaffian and the anti-Pfaffian non-Abelian edge states models in order to give possible experimental signatures to identify the appropriate model for this fractional quantum Hall states. Finally we investigate how the temperature of the LC resonant circuit can be used in order to enhance the sensibility of the measurement scheme.