Spectral noise for edge states at filling factor $\nu=5/2$

TL;DR

This paper analyzes finite frequency noise in the $ u=5/2$ fractional quantum Hall state to distinguish between different tunneling excitations and models, highlighting optimal conditions and temperature effects.

Contribution

It provides a detailed comparison of noise signatures in Pfaffian and anti-Pfaffian models, identifying conditions to detect specific quasiparticle charges.

Findings

Noise behavior discriminates between tunneling excitations with different charges.

Optimal bias enhances visibility of 2-agglomerate tunneling noise peak.

Temperature dependence helps differentiate between the Pfaffian and anti-Pfaffian models.

Abstract

We present a detailed analysis of finite frequency noise for the $\nu=5/2$ fractional quantum Hall state in a quantum point contact geometry. The results are obtained within the Pfaffian and anti-Pfaffian models. We show that the behaviour of the coloured noise allows unambigously to discriminate among tunneling excitations with different charges. Optimal values of the external bias are found in order to emphasize the visibility of the noise peak associated with the tunneling of a 2-agglomerate, namely an excitation with charge double of the fundamental one. These correspond to the regime in which the bias is larger than the neutral modes cut-off frequency. The dependence on the temperature is also investigated in order to discriminate between the considered models.