Antidot tunneling between Quantum Hall liquids with different filling factors

Details Antidot tunneling between Quantum Hall liquids with different filling factors Antidot tunneling between Quantum Hall liquids with different filling factors

2004-12-21

arxiv.org/abs/cond-mat/0412589v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 two-column pages, 2 figures

Scientific paper

10.1103/PhysRevB.71.241308

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.

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