Signatures of fractional Hall quasiparticles in moments of current through an antidot

TL;DR

This paper investigates the tunneling current statistics in fractional quantum Hall systems with antidots, proposing methods to distinguish quasiparticle charge and analyzing effects of non-universal exponents on current moments.

Contribution

It introduces a comparison between Fano factor and skewness to identify quasiparticle charge and examines how non-universal exponents influence current moments in such systems.

Findings

Fano factor and skewness can distinguish quasiparticle charge.

Positive correlations are observed in shot noise limit.

Effects of non-universal exponents on current moments are analyzed.

Abstract

The statistics of tunneling current in a fractional quantum Hall sample with an antidot is studied in the chiral Luttinger liquid picture of edge states. A comparison between Fano factor and skewness is proposed in order to clearly distinguish the charge of the carriers in both the thermal and the shot limit. In addition, we address effects on current moments of non-universal exponents in single-quasiparticle propagators. Positive correlations, result of propagators behaviour, are obtained in the shot noise limit of the Fano factor, and possible experimental consequences are outlined.