Correlated transport of FQHE quasiparticles in a double-antidot system

Details Correlated transport of FQHE quasiparticles in a double-antidot system Correlated transport of FQHE quasiparticles in a double-antidot system

2007-02-26

arxiv.org/abs/cond-mat/0702614v1

Physica E 40 (2007) 58-66

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages including 5 figures

Scientific paper

10.1016/j.physe.2007.05.008

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.

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