Transport of fractional Hall quasiparticles through an antidot

TL;DR

This paper investigates the transport properties of fractional quantum Hall quasiparticles through an antidot, revealing unique tunneling features, universal transport regimes, and methods to identify quasiparticle charge.

Contribution

It introduces a detailed analysis of current statistics in an antidot within the fractional quantum Hall regime, highlighting novel features like negative differential conductance and universal sub-Poissonian transport.

Findings

Negative differential conductance observed for g<1

Universal sub-Poissonian transport regimes identified

Super-Poissonian statistics in the shot limit for g<1

Abstract

Current statistics of an antidot in the fractional quantum Hall regime is studied for Laughlin's series. The chiral Luttinger liquid picture of edge states with a renormalized interaction exponent $g$ is adopted. Several peculiar features are found in the sequential tunneling regime. On one side, current displays negative differential conductance and double-peak structures when $g<1$. On the other side, universal sub-poissonian transport regimes are identified through an analysis of higher current moments. A comparison between Fano factor and skewness is proposed in order to clearly distinguish the charge of the carriers, regardless of possible non-universal interaction renormalizations. Super-poissonian statistics is obtained in the shot limit for $g<1$, and plasmonic effects due to the finite-size antidot are tracked.