Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer

Abstract

We compute the temperature, voltage, and magnetic field dependences of the resistance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall (FQH) effect. The geometry is the same as that used in recent experiments reported in Refs. \cite{camino-prl,camino-T,zhou}. With appropriate assumptions concerning the relative areas of the inner and outer rings of the interferometer, we find theoretical results, including the existence of periodic Aharonov-Bohm oscillations with periods {\it larger} than the fundamental quantum of flux, which are in remarkably good agreement with experiment. It is then possible to make additional experimental predictions with no adjustable parameters which, if verified, would confirm the proposed interpretation of the experiment as a measurement of fractional statistics.

4.1 pages, 3 figures, two references added, to appear in Phys. Rev. Lett

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• Aharonov-Bohm interference of fractional quantum Hall edge modes
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• Exact entanglement renormalization for string-net models
• Why should anyone care about computing with anyons?
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Coulomb blockade of anyons
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Superperiods and quantum statistics of Laughlin quasiparticles
• Trapping Abelian anyons in fractional quantum Hall droplets
• Universal Periods in Quantum Hall Droplets
• Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state
• Magnetic field dependent equilibration of fractional quantum Hall edge modes
• Aharonov-Bohm Effect in Three-dimensional Higher-order Topological Insulator
• Spin Hall Effect For Anyons
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Superperiods in interference of e/3 Laughlin quasiparticles encircling filling 2/5 fractional quantum Hall island
• Fractional statistics and duality: strong tunneling behavior of edge states of quantum Hall liquids in the Jain sequence
• Temperature dependent equilibration of spin orthogonal quantum Hall edge modes
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Superconductivity of neutral modes in quantum Hall edges