Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states

Abstract

We examine the relation between different electronic transport phenomena in a Fabry-Perot interferometer in the fractional quantum Hall regime. In particular, we study the way these phenomena reflect the statistics of quantum Hall quasi-particles. For two series of states we examine, one abelian and one non-abelian, we show that the information that may be obtained from measurements of the lowest order interference pattern in an open Fabry-Perot interferometer is identical to the one that may be obtained from the temperature dependence of Coulomb blockade peaks in a closed interferometer. We argue that despite the similarity between the experimental signatures of the two series of states, interference and Coulomb blockade measurements are likely to be able to distinguish between abelian and non-abelian states, due to the sensitivity of the abelian states to local perturbations, to which the non-abelian states are insensitive.

10 pages. Published version

References in corpus (13)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• The non-Abelian Interferometer
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Exact Solution for Bulk-Edge Coupling in the Non-Abelian $\nu =5/2$ Quantum Hall Interferometer
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer
• Experimental signatures of non-Abelian statistics in clustered quantum Hall states
• Coulomb Blockade Doppelgangers in Quantum Hall States
• Chiral Partition Functions of Quantum Hall Droplets

Cited by in corpus (29)

• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Quantum Hall Physics - hierarchies and CFT techniques
• Fractional charge and fractional statistics in the quantum Hall effects
• Fabry-Perot Interferometry with Fractional Charges
• A tunable Fabry-Pérot quantum Hall interferometer in graphene
• Experimental probe of topological orders and edge excitations in the second Landau level
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Telegraph noise and the Fabry-Perot quantum Hall interferometer
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Edge Probes of Topological Order
• Detecting Non-Abelian Anyons by Charging Spectroscopy
• Flux superperiods and periodicity transitions in quantum Hall interferometers
• Partition Functions of Non-Abelian Quantum Hall States
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
• One-dimensional itinerant interacting non-Abelian anyons
• Signatures of non-Abelian statistics in non-linear coulomb blockaded transport
• Fractional Coulomb blockade for quasiparticle tunneling between edge channels
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Electron-pairing in the quantum Hall regime due to neutralon exchange
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Edge mode velocities in the quantum Hall effect from a dc measurement