A nu=2/5 Paired Wavefunction

Abstract

We construct a wavefunction, generalizing the well known Moore-Read Pfaffian, that describes spinless electrons at filling fraction nu=2/5 (or bosons at filling fraction nu=2/3) as the ground state of a very simple three body potential. We find, analogous to the Pfaffian, that when quasiholes are added there is a ground state degeneracy which can be identified as zero-modes of the quasiholes. The zero-modes are identified as having semionic statistics. We write this wavefunction as a correlator of the Virasoro minimal model conformal field theory M(5,3). Since this model is non-unitary, we conclude that this wavefunction is a quantum critical state. Nonetheless, we find that the overlaps of this wavefunction with exact diagonalizations in the lowest and first excited Landau level are very high, suggesting that this wavefunction may have experimental relevance for some transition that may occur in that regime.

13 pages, 2 figures

References in corpus (1)

• Generalized Quantum Hall Projection Hamiltonians

Cited by in corpus (100)

• Non-Abelian Anyons and Topological Quantum Computation
• Non-Hermitian Physics
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Anyons and the quantum Hall effect - a pedagogical review
• Fractional Quantum Hall States and Jack Polynomials
• Quantum Hall Physics - hierarchies and CFT techniques
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Zoology of Fractional Chern Insulators
• Bulk-Edge Correspondence in the Entanglement Spectra
• Plasma Analogy and Non-Abelian Statistics for Ising-type Quantum Hall States
• Gapless Symmetry Protected Topological Order
• Topological Entanglement and Clustering of Jain Hierarchy States
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Generalized Clustering Conditions of Jack Polynomials at Negative Jack Parameter $\alpha$
• Thirty Years of Composite Fermions and Beyond
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Properties of Non-Abelian Fractional Quantum Hall States at Filling $\nu =\frac{k}{r}$
• Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
• Gauge-Fixed Wannier Wave-Functions for Fractional Topological Insulators
• Correlation Lengths and Topological Entanglement Entropies of Unitary and Non-Unitary Fractional Quantum Hall Wavefunctions
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Conformal invariance of chiral edge theories
• Matrix Product States for Trial Quantum Hall States
• Generalized Quantum Hall Projection Hamiltonians
• Pseudopotential Formalism for Fractional Chern Insulators
• Fractional Chern Insulators beyond Laughlin states
• Non-Abelian Braiding of Lattice Bosons
• Decomposition of fractional quantum Hall states: New symmetries and approximations
• Braiding non-Abelian quasiholes in fractional quantum Hall states
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Repulsive Interactions in Quantum Hall Systems as a Pairing Problem
• Geometric construction of Quantum Hall clustering Hamiltonians
• Non-Abelian Quantum Hall States and their Quasiparticles: from the Pattern of Zeros to Vertex Algebra
• S-duality constraints on 1D patterns associated with fractional quantum Hall states
• Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
• Gapless excitations in the Haldane-Rezayi state: The thin torus limit
• Galois Conjugates of Topological Phases
• Tripartite Composite Fermion States
• Entangled Pauli Principles: the DNA of Quantum Hall Fluids
• Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to W-algebras
• Domain walls, fusion rules and conformal field theory in the quantum Hall regime
• Spin-Singlet Quantum Hall States and Jack Polynomials with a Prescribed Symmetry
• Quantum Hall hierarchy from coupled wires
• Classification of Abelian and Non-Abelian Multilayer Fractional Quantum Hall States Through the Pattern of Zeros
• Non-Abelian phases in two-component $\nu =2/3$ fractional quantum Hall states: Emergence of Fibonacci anyons
• Clustering properties, Jack polynomials and unitary conformal field theories
• Zero modes, Bosonization and Topological Quantum Order: The Laughlin State in Second Quantization
• Local two-body parent Hamiltonians for the entire Jain sequence
• Solvable models for unitary and non-unitary topological phases
• Abelian and non-Abelian statistics in the coherent state representation
• Algebraic approach to the study of zero modes of Haldane pseudopotentials
• Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems
• Mapping of Parent Hamiltonians: from Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains
• Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
• Thin torus perturbative analysis of elementary excitations in the Gaffnian and Haldane-Rezayi quantum Hall states
• Change in the character of quasiparticles without gap collapse in a model of fractional quantum Hall effect
• Geometric Fluctuation of Conformal Hilbert Spaces and Multiple Graviton Modes in Fractional Quantum Hall Effect
• Matrix product state representation of non-Abelian quasiholes
• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• Entanglement Entropy from Corner Transfer Matrix in Forrester Baxter non-unitary RSOS models
• S3 Quantum Hall Wavefunctions
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Search for exact local Hamiltonians for general fractional quantum Hall states
• Effective Edge State Dynamics in the Fractional Quantum Hall Effect
• Multi-Particle Pseudopotentials for Multi-Component Quantum Hall Systems
• Emergent Commensurability from Hilbert Space Truncation in Fractional Quantum Hall Fluids
• Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions
• Fractional quantum Hall effect arising from repulsive three body interaction
• Gaplessness of the Gaffnian
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories
• Topological d-wave pairing structures in Jain states
• Entanglement Measures for Quasi-Two-Dimensional Fractional Quantum Hall States
• The Neutral Excitations in the Gaffnian State
• The Gaffnian and Haffnian: physical relevance of non-unitary CFT for incompressible fractional quantum Hall effect
• Elementary Excitations in Fractional Quantum Hall Effect from Classical Constraints
• Fractionalisation and dynamics of anyons at $\nu =n+1/3$ in fractional quantum Hall effect and their experimental signatures
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Gaffnian holonomy through the coherent state method
• Stability of the k=3 Read-Rezayi state in chiral two-dimensional systems with tunable interactions
• Fractional quantum Hall effect from frustration-free Hamiltonians
• Heat equation approach to geometric changes of the torus Laughlin-state
• Fused RSOS Lattice Models as Higher-Level Nonunitary Minimal Cosets
• An Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field
• Correlators of N=1 Superconformal Currents
• The composite fermion theory revisited: a microscopic derivation without Landau level projection
• Universal Modelling of Oscillations in Fractional Quantum Hall Fluids
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Transition from two-component 332 Halperin state to one-component Jain state at filling factor ν=2/5
• Inner workings of fractional quantum Hall parent Hamiltonians: A matrix product state point of view
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Spin-singlet Gaffnian wave function for fractional quantum Hall systems
• ${\mathbb{Z}}_k^{(r)}$-Algebras, FQH Ground States, and Invariants of Binary Forms
• Crossover from Integer to Fractional Quantum Hall Effect
• Coherent State Wave Functions on the Torus
• From the Gaffnian critical point to the incompressible 2/5 quantum Hall state
• Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
• Crossing-symmetric Twist Field Correlators and Entanglement Negativity in Minimal CFTs
• Exact Mappings in Condensed Matter Physics