Neutral Fermion Excitations in the Moore-Read state at ν=5/2

Abstract

We present evidence supporting the weakly paired Moore-Read phase in the half-filled second Landau level, focusing on some of the qualitative features of its excitations. Based on numerical studies, we show that systems with odd particle number at the flux $N_{\varphi }=2N-3$ can be interpreted as a neutral fermion mode of one unpaired fermion, which is gapped. The mode is found to have two distinct minima, providing a signature that could be observed by photoluminescence. In the presence of two quasiparticles the same neutral fermion excitation is shown to be gapless, confirming expectations for non-Abelian statistics of the Ising model with degenerate fusion channels 1 and $\psi$.

4 pages, 4 figures; v2: final published version

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Cited by in corpus (37)

• Are non-Fermi-liquids stable to Cooper pairing?
• Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
• Experimental probe of topological orders and edge excitations in the second Landau level
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
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• Unpaired composite fermion, topological exciton, and zero mode
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• Quench dynamics of collective modes in fractional quantum Hall bilayers
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• The unreasonable effectiveness of Eliashberg theory for pairing of non-Fermi liquids
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
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• Collective excitations at filling factor 5/2: The view from superspace
• Analytic Wavefunctions for Neutral Bulk Excitations in Fractional Quantum Hall Fluids
• Josephson Coupled Moore-Read States
• Topological exciton Fermi surfaces in two-component fractional quantized Hall insulators
• Geometric responses of the Pfaffian state
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Signatures of Supersymmetry in the $\nu =5/2$ Fractional Quantum Hall Effect
• Regularizing 3D conformal field theories via anyons on the fuzzy sphere
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Dipolar bogolons: from superfluids to Pfaffians
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Splitting of roton minimum in the ν=5/2 Moore-Read state
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Exactly Solvable Hamiltonian for Non-Abelian Quasiparticles
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid
• Chiral Metric Hydrodynamics, Kelvin Circulation Theorem, and the Fractional Quantum Hall Effect
• Spin texture readout of a Moore-Read topological quantum register