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.

arXiv comment5 two-column pages, 2 figures

References in corpus (15)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Partition noise and statistics in the fractional quantum Hall effect
• Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
• Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
• Aharonov-Bohm effect in the chiral Luttinger liquid
• Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers
• Andreev reflection in the fractional quantum Hall effect
• Luttinger States at the Edge
• Invariance of Charge of Laughlin Quasiparticles
• Low-temperature conductance and DC current noise in a quantum wire with impurity
• What do noise measurements reveal about fractional charge in FQH liquids?
• Mesoscopic Effects in the Fractional Quantum Hall Regime: Chiral Luttinger versus Fermi Liquid
• Edge and Bulk of the Fractional Quantum Hall Liquids
• Broken symmetry, hyper-fermions, and universal conductance in transport through a fractional quantum Hall edge
• Strong-coupling branching of FQHL edges

Cited by in corpus (9)

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• Coulomb blockade of anyons
• Mach-Zehnder interferometer in the Fractional Quantum Hall regime
• Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometer
• Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
• Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
• Comment on "Strongly correlated Fractional Quantum Hall line junction"
• Correlated transport of FQHE quasiparticles in a double-antidot system
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields