Shot Noise and the Transmission of Dilute Laughlin Quasiparticles

Abstract

We analyze theoretically a three-terminal geometry in a fractional quantum Hall system - studied in a recent experiment - which allows a dilute beam of Laughlin quasiparticles to be prepared and subsequently scattered by a point contact. Employing a chiral Luttinger liquid description of the nu^{-1} = m integer edge states, we compute the current and noise of the quasiparticle beam after transmission through the point contact at finite temperature and bias voltage. A re-fermionization procedure at m=2 allows the current and noise to be computed non-perturbatively for arbitrary transparency of the point contact. Surprisingly, we find for weak backscattering the zero temperature limit is subtle and singular even at fixed finite bias voltage. In particular, at T=0 the incident charge e/m quasiparticles are either reflected or else Andreev scattered (backscattering a charge (-1 + 1/m)e quasihole and transmitting an electron) - Laughlin quasiparticles are not transmitted in this limit. A direct signature of these Andreev processes should be accessible in a particular cross-correlation noise measurement that we propose.

23 pages, 4 figures

References in corpus (1)

• Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers

Cited by in corpus (24)

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• Negative Excess Shot Noise by Anyon Braiding
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Anomalous Chiral Luttinger Liquid Behavior of Diluted Fractionally Charged Quasiparticles
• Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Edge State Tunneling in a Split Hall Bar Model
• Transport properties of a two-dimensional electron liquid at high magnetic field
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Universal non-equilibrium states at the fractional quantum Hall edge
• Current cross-correlations in a quantum Hall collider at filling factor two
• How Irrelevant Operators affect the Determination of Fractional Charge
• Landscapes of an out-of-equilibrium anyonic sea
• Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
• 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
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Tunneling of quasiholes in the fractional quantum Hall regime