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.

arXiv comment8 pages, 3 figures. Fixed typos, added refs 32-33

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Cited by in corpus (48)

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• Even denominator fractional quantum Hall state in bilayer graphene
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• The non-Abelian Interferometer
• Fractional charge and fractional statistics in the quantum Hall effects
• Measurement-Only Topological Quantum Computation via Anyonic Interferometry
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• `Unhinging' the surfaces of higher-order topological insulators and superconductors
• 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
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Non-Abelian Anyon Collider
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Odd-Even Crossover in a non-Abelian $\nu =5/2$ Interferometer
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Long tunneling contact as a probe of fractional quantum Hall neutral edge modes
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Thermal interferometry of anyons
• Finite width of anyons changes their braiding signature
• Microwave Absorption by a Mesoscopic Quantum Hall Droplet
• Topological invariants for the fractional quantum Hall states
• Tunnelling current through fractional quantum Hall interferometers
• In-plane electric fields and the $\nu =\frac{5}{2}$ fractional quantum Hall effect in a disk geometry
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• Identification of the Fractional quantum Hall edge modes by density oscillations
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Anyon braiding on the single edge of a fractional quantum Hall state
• Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Twisted Interferometry: the topological perspective
• Real-Time Ramsey Interferometry in Fractional Quantum Hall States
• A non-perturbative expression for the transmission through a leaky chiral edge mode
• Twisted Interferometry
• Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond
• Cotunneling in the ν= 5/2 fractional quantum Hall regime