Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect

Abstract

We consider the fractional quantum Hall effect at the filling factor $\nu =4/11$, where two independent experiments have observed a well-developed and quantized Hall plateau. We examine the Abelian state described by the "$4\bar{2}{1}^3$" parton wave function and numerically demonstrate it to be a plausible candidate for the ground state at $\nu =4/11$. We work out the low-energy effective theory of the $4\bar{2}{1}^3$ edge and make predictions for experimentally measurable properties of the state.

arXiv comment7 pages and 1 figure, published version

References in corpus (71)

• Non-Abelian Anyons and Topological Quantum Computation
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Topological orders and Edge excitations in FQH states
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Fractional topological insulators
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Fractional Quantum Hall Effect of Composite Fermions
• Observation of neutral modes in the fractional quantum Hall regime
• Observed Quantization of Anyonic Heat Flow
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Band Structure of the Fractional Quantum Hall Effect
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• Fractional Quantum Hall Effect in the Second Landau Level
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• Fibonacci anyons and charge density order in the 12/5 and 13/5 plateaus
• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Paired composite fermion wavefunctions
• Parton construction of a wave function in the anti-Pfaffian phase
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Quasiparticle Interactions in Fractional Quantum Hall Systems: Justification of Different Hierarchy Schemes
• Fractional Quantum Hall States of Clustered Composite Fermions
• The nature of composite fermions and the role of particle hole symmetry: A microscopic account
• Spinful Composite Fermions in a Negative Effective Field
• Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
• Structures for Interacting Composite Fermions: Stripes, Bubbles, and Fractional Quantum Hall Effect
• Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Luttinger theorem for the strongly correlated Fermi liquid of composite fermions
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• The Fractional Quantum Hall States at $\nu =13/5$ and $12/5$ and their Non-Abelian Nature
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Classification of Disordered Phases of Quantum Hall Edge States
• State Counting for Excited Bands of the Fractional Quantum Hall Effect: Exclusion Rules for Bound Excitons
• ``Fermi Liquid'' Shell Model Approach to Composite Fermion Excitation Spectra in Fractional Quantum Hall States
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Non-Abelian states with negative flux: a new series of quantum Hall states
• Fermi-sea-like correlations in a partially filled Landau level
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Unpaired composite fermion, topological exciton, and zero mode
• Competing Topological Orders in the nu=12/5 Quantum Hall State
• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Fermi wave vector for the non-fully spin polarized composite-fermion Fermi sea
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• The enigmatic 12/5 fractional quantum Hall effect
• Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest Landau Level
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Entangled Pauli Principles: the DNA of Quantum Hall Fluids
• Mixed States of Composite Fermions Carrying Two and Four Vortices
• Abelian topological order of $\nu =2/5$ and $3/7$ fractional quantum Hall states in lattice models
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Partially spin polarized quantum Hall effect in the filling factor range 1/3 < nu < 2/5
• Unconventional ${\mathbb{Z}}_n$ parton states at $\nu =7/3$: The role of finite width
• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Emergence of Jack ground states from two-body pseudopotentials in fractional quantum Hall systems
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Possible realization of a chiral p-wave paired state in a two component system
• Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
• States of interacting composite fermions at Landau level fillig $\nu =2+3/8$
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction

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• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
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• Real-space entanglement spectra of parton states in fractional quantum Hall systems
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Very high-energy collective states of partons in fractional quantum Hall liquids
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride