Antidot tunneling between quantum Hall liquids with different filling factors

We consider tunneling through two point contacts between two edges of quantum Hall liquids of different filling factors ν0,1=1 (2m0,1+1) with m0-m1≡m>0. Properties of the antidot formed between the point contacts in the strong-tunneling limit are shown to be very different from the ν0=ν1 case, and include the vanishing average total current in the two contacts and quasiparticles of charge e m. For m>1, quasiparticle tunneling leads to nontrivial 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.