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

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Cited by in corpus (24)

• Observation of neutral modes in the fractional quantum Hall regime
• Fractional charge and fractional statistics in the quantum Hall effects
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• 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
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Edge Probes of Topological Order
• Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states
• Transport in line junctions of $\nu =5/2$ quantum Hall liquids
• Energy transport by neutral collective excitations at the quantum Hall edge
• Neutral mode heat transport and fractional quantum Hall shot noise
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
• Unexpected tunneling current from downstream neutral modes
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Dc Electrical Current Generated by Upstream Neutral Modes
• Edge mode velocities in the quantum Hall effect from a dc measurement