Parafermion statistics and the application to non-abelian quantum Hall states

Abstract

The (exclusion) statistics of parafermions is used to study degeneracies of quasiholes over the paired (or in general clustered) quantum Hall states. Focus is on the Z_k and su(3)_k/u(1)^2 parafermions, which are used in the description of spin-polarized and spin-singled clustered quantum Hall states.

15 pages, minor changes, as published

References in corpus (1)

• Non-Abelian spin-singlet quantum Hall states: wave functions and quasihole state counting

Cited by in corpus (25)

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• Extracting Excitations From Model State Entanglement
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• Properties of Non-Abelian Fractional Quantum Hall States at Filling $\nu =\frac{k}{r}$
• Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
• Observable Bulk Signatures of Non-Abelian Quantum Hall States
• Quantum Hall states and boson triplet condensate for rotating spin-1 bosons
• Rotating spin-1 bosons in the lowest Landau level
• Halperin (m, m',n) bilayer quantum Hall states on thin cylinders
• Repulsive Interactions in Quantum Hall Systems as a Pairing Problem
• Wavefunctions and counting formulas for quasiholes of clustered quantum Hall states on a sphere
• Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
• Entanglement between particle partitions in itinerant many-particle states
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Gapless excitations in the Haldane-Rezayi state: The thin torus limit
• The structure of spinful quantum Hall states: a squeezing perspective
• Parafermionic states in rotating Bose-Einstein condensates
• The Jain-2/5 parent Hamiltonian: structure of zero modes, dominance patterns, and zero mode generators
• Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
• Projective construction of the ${\mathbb{Z}}_k$ Read-Rezayi fractional quantum Hall states and their excitations on the torus geometry
• Composite fermions in Fock space: Operator algebra, recursion relations, and order parameters
• Inner workings of fractional quantum Hall parent Hamiltonians: A matrix product state point of view
• On the particle entanglement spectrum of the Laughlin states
• Non-Fermi liquid, unscreened scalar chirality and parafermions in a frustrated tetrahedron Anderson model