Charge-statistics separation and probing non-Abelian states

Abstract

Several states were proposed as candidates for the $\nu =5/2$ quantum Hall plateau. We suggest an experiment which can determine the physical state. The proposal involves transport measurements in the geometry with three quantum Hall edges connected by two quantum point contacts. In contrast to interference experiments, this approach can distinguish the Pfaffian and anti-Pfaffian states as well as different states with identical Pfaffian or anti-Pfaffian statistics. The transport is not sensitive to the fluctuations of the number of the quasiparticles trapped in the system.

5 pages; 2 figures

References in corpus (7)

• 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
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
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Cited by in corpus (11)

• Observation of neutral modes in the fractional quantum Hall regime
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Charge tunneling in fractional edge channels
• 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
• Why a noninteracting model works for shot noise in fractional charge experiments
• Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Unexpected tunneling current from downstream neutral modes