Antidot tunneling between Quantum Hall liquids with different filling factors

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.

5 two-column pages, 2 figures