Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state

Abstract

We propose noise oscillation measurements in a double point contact, accessible with current technology, to seek for a signature of the non-abelian nature of the ν=5/2 quantum Hall state. Calculating the voltage and temperature dependence of the current and noise oscillations, we predict the non-abelian nature to materialize through a multiplicity of the possible outcomes: two qualitatively different frequency dependences of the nonzero interference noise. Comparison between our predictions for the Moore-Read state with experiments on ν=5/2 will serve as a much needed test for the nature of the ν=5/2 quantum Hall state.

arXiv comment4 pages, 4 figures v2: typo's corrected, discussions clarified, references added

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Cited by in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• The non-Abelian Interferometer
• Fractional charge and fractional statistics in the quantum Hall effects
• A Josephson frequency for fractionally charged anyons
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer
• Odd-Even Crossover in a non-Abelian $\nu =5/2$ Interferometer
• Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries