Antidot tunneling between Quantum Hall liquids with different filling factors

TL;DR

This paper investigates tunneling between Quantum Hall edges with different filling factors, revealing unique antidot properties, quasiparticle charges, and flux dynamics that differ significantly from equal filling factor cases.

Contribution

It introduces the analysis of antidot tunneling between edges with different filling factors, highlighting novel effects like quasiparticle charge and complex flux dynamics.

Findings

Antidot properties differ markedly from equal filling factor cases.

Quasiparticles carry charge e/m, with m>1.

Flux dynamics exhibit m-state behavior affecting current periodicity.

Abstract

We consider tunneling through two point contacts between two edges of Quantum Hall liquids of different filling factors $\nu_{0,1}=1/ (2m_{0,1}+1)$ with $m_0-m_1\equiv m>0$. Properties of the antidot formed between the point contacts in the strong-tunneling limit are shown to be very different from the $\nu_0 =\nu_1$ case, and include vanishing average total current in the two contacts and quasiparticles of charge $e/m$. For $m>1$, quasiparticle tunneling leads to non-trivial $m$-state dynamics of effective flux through the antidot which restores the regular ``electron'' periodicity of the current in flux despite the fractional charge and statistics of quasiparticles.