Correlated transport of FQHE quasiparticles in a double-antidot system

TL;DR

This paper calculates the conductance of quasiparticles tunneling through a double-antidot system in quantum Hall liquids, revealing how dissipation and interactions influence resonant tunneling behavior.

Contribution

It introduces a model for quasiparticle transport in a double-antidot system, highlighting the effects of dissipation and interactions on conductance resonances.

Findings

Resonant conductance peaks depend on dissipation strength.

Weak damping shows coherent tunneling effects.

Interactions cause additional resonant structures in conductance.

Abstract

We have calculated the linear conductance associated with tunneling of individual quasiparticles of primary quantum Hall liquids with filling factors $\nu =1/(2m+1)$ through a system of two antidots in series. On-site Coulomb interaction simulates the Fermi exclusion and makes the quasiparticle dynamics similar to that of tunneling electrons. The liquid edges serve as the quasiparticle reservoirs, and also create the dissipation mechanism for tunneling between the antidots. In the regime of strong dissipation, the conductance should exhibit resonant peaks of unusual form and a width proportional to the quasiparticle interaction energy $U$. In the weakly-damped regime, the shape of the resonant conductance peaks reflects coherent tunnel coupling of the antidots. The Luttinger-liquid singularity in the rates of quasiparticle tunneling to/from the liquid edges manifests itself as an additional weak resonant structure in the conductance curves.