Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers

Abstract

We study the effects of bulk-edge Coulomb coupling on quantum Hall Fabry-Perot interferometers. We find that these effects can be appreciable in devices which would not usually be associated with strong bulk-edge Coulomb coupling, provided the devices in question exhibit certain fractional plateaus. With this in mind, we analyze recent experiments at $\nu =5/2$ by taking into account a tunnel coupling between localized bulk Majorana states and Majorana edge states. We find that these experimental data are consistent with the widely held view that the $\nu =5/2$ state harbors Moore-Read topological order. However, experiments may have measured Coulomb effects rather than an `even-odd effect' due to non-abelian braiding.

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Anyons and the quantum Hall effect - a pedagogical review
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer

Cited by in corpus (18)

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• Deterministic creation and braiding of chiral edge vortices
• A Josephson frequency for fractionally charged anyons
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Non-Abelian Anyon Collider
• Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
• Anyon braiding and telegraph noise in a graphene interferometer
• Flux superperiods and periodicity transitions in quantum Hall interferometers
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Fractional Quantum Hall States in a Ge Quantum Well
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Subperiods and apparent pairing in integer quantum Hall interferometers
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• How should we choose the boundary conditions in a simulation which could detect anyons in one and two dimensions?
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers