Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

Abstract

We compute the tunneling current in a double point contact geometry of a Quantum Hall system at filling fraction $\nu =5/2$, as function of voltage and temeprature, in the weak tunneling regime. We quantitatively compare two possible candidates for the state at $\nu =5/2$: the Moore-Read Pfaffian state, and its particle-hole conjugate, the anti-Pfaffian. We find that both possibilities exhibit the same qualitative behavior, and both have an even-odd effect that reflects their non-Abelian nature, but differ quantitatively in their voltage and temperature dependance.

8 pages, 3 figures. Fixed typos, added refs 32-33

References in corpus (6)

• 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
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State

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• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
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• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond