Chirality and Current-Current Correlation in Fractional Quantum Hall Systems

Abstract

We study current-current correlation in an electronic analog of a beam splitter realized with edge channels of a fractional quantum Hall liquid at Laughlin filling fractions. In analogy with the known result for chiral electrons, if the currents are measured at points located after the beam splitter, we find that the zero frequency equilibrium correlation vanishes due to the chiral propagation along the edge channels. Furthermore, we show that the current-current correlation, normalized to the tunneling current, exhibits clear signatures of the Laughlin quasi-particles' fractional statistics.

9 pages, 3 figures, extended bibliography

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Cited by in corpus (12)

• Negative delta-$T$ noise in the Fractional Quantum Hall effect
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Why a noninteracting model works for shot noise in fractional charge experiments
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Does delta-$T$ noise probe quantum statistics?
• Anyon statistics through conductance measurements of time-domain interferometry
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Anyon Quantum Transport and Noise away from Equilibrium
• Landscapes of an out-of-equilibrium anyonic sea
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Fractional-statistics-induced entanglement from Andreev-like tunneling