Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

Abstract

Quantum Hall interferometers have been used to probe fractional charge, and more recently, fractional statistics of quasiparticles. Theoretical predictions have been made regarding the effect of electrostatic coupling on interferometer behavior and observation of anyonic phases. Here we present measurements of a small Fabry-Perot interferometer in which these electrostatic coupling constants can be determined experimentally, facilitating quantitative comparison with theory. At the $\nu =1/3$ fractional quantum Hall state, this device exhibits Aharonov-Bohm interference near the center of the conductance plateau interrupted by a few discrete phase jumps, and ${\Phi }_0$ oscillations at higher and lower magnetic fields, consistent with theoretical predictions for detection of anyonic statistics. We estimate the electrostatic parameters $K_I$ and $K_{IL}$ by two methods: by the ratio of oscillation periods in compressible versus incompressible regions, and from finite-bias conductance measurements, and these two methods yield consistent results. We find that the extracted $K_I$ and $K_{IL}$ can account for the deviation of the values of the discrete phase jumps from the theoretically predicted anyonic phase ${\theta }_a=2\pi /3$. In the integer quantum Hall regime, we find that the experimental values of $K_I$ and $K_{IL}$ can account for the the observed Aharonov-Bohm and Coulomb dominated behavior of different edge states.

11 pages, 6 figures

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Cited by in corpus (25)

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• Strongly coupled edge states in a graphene quantum Hall interferometer
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Mechanically-reconfigurable van der Waals devices via low-friction gold sliding
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Extracting unconventional spin texture in two dimensional topological crystalline insulator bismuthene via tuning bulk-edge interactions
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• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Modified interferometer to measure anyonic braiding statistics
• Signature of anyonic statistics in the integer quantum Hall regime
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Probing anyonic statistics via Mach-Zehnder interferometry in quantum computers
• Universal Anyon Tunneling in a Chiral Luttinger Liquid
• Quantum statistics and self-interference in extended colliders