Paired composite fermion wavefunctions

Abstract

We construct a family of BCS paired composite fermion wavefunctions that generalize, but remain in the same topological phase as, the Moore-Read Pfaffian state for the half-filled Landau level. It is shown that for a wide range of experimentally relevant inter-electron interactions the groundstate can be very accurately represented in this form.

4 pages, 2 figures

References in corpus (13)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
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• Anisotropic States of Two-Dimensional Electron Systems in High Landau Levels: Effect of an In-Plane Magnetic Field
• Strongly Anisotropic Electronic Transport at Landau Level Filling Factor $\nu =9/2$ and $\nu =5/2$ Under Tilted Magnetic Field
• Electron interactions in graphene in a strong magnetic field
• Fractional Quantum Hall Effect in Graphene
• Field-tilt Anisotropy Energy in Quantum Hall Stripe States
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• Impact of spin-orbit coupling on quantum Hall nematic phases

Cited by in corpus (73)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Hall system in Tao-Thouless limit
• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• The non-Abelian Interferometer
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• A Stable Pfaffian State in Bilayer Graphene
• Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
• Experimental probe of topological orders and edge excitations in the second Landau level
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Landau Level Quantization on the Sphere
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Quantum Hall Phase Diagram of Second Landau-level Half-filled Bilayers: Abelian versus Non-Abelian States
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Particle Entanglement Spectra for Quantum Hall states on Lattices
• Transition from Abelian to non-Abelian quantum liquids in the second Landau level
• Competing Topological Orders in the nu=12/5 Quantum Hall State
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Testing for Majorana Zero Modes in a Px+iPy Superconductor at High Temperature by Tunneling Spectroscopy
• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• Fractional quantum Hall state at ν=1/4 in a wide quantum well
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Structure and consequences of vortex-core states in p-wave superfluids
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Skyrmions in the Moore-Read state at nu=5/2
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Localized quasiholes and the Majorana fermion in fractional quantum Hall state at nu=5/2 via direct diagonalization
• Mapping of Parent Hamiltonians: from Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
• Geometric Fluctuation of Conformal Hilbert Spaces and Multiple Graviton Modes in Fractional Quantum Hall Effect
• Transport in line junctions of $\nu =5/2$ quantum Hall liquids
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Quasiparticle tunneling in the Moore-Read fractional quantum Hall State
• Meron deconfinement in the quantum Hall bilayer at intermediate distances
• Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2)
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Bardeen-Cooper-Schrieffer pairing of composite fermions
• Josephson Coupled Moore-Read States
• Adiabatic Cooling with Non-Abelian Anyons
• The Neutral Excitations in the Gaffnian State
• Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Clausius-Clapeyron Relations For First Order Phase Transitions In Bilayer Quantum Hall Systems
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Energy minimization of paired composite fermion wave functions in the spherical geometry
• Pairing in ultracold Fermi gases in the lowest Landau level
• Correlation-hole induced paired quantum Hall states in lowest Landau level
• Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
• Search for electron liquids with non-Abelian quasiparticles
• Cotunneling in the ν= 5/2 fractional quantum Hall regime