Unpaired composite fermion, topological exciton, and zero mode

Abstract

The paired state of composite fermions is expected to support two kinds of excitations: vortices and unpaired composite fermions. We construct an explicit microscopic description of the unpaired composite fermions, which we demonstrate to be accurate for a 3-body model interaction, and, possibly, adiabatically connected to the Coulomb solution. This understanding reveals that an unpaired composite fermion carries with it a charge-neutral "topological" exciton, which, in turn, helps provide microscopic insight into the origin of zero modes, fusion rules, and energetics.

5 pages, 5 figures from 7 figure files

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Superconducting Order Parameter for the Even-denominator Fractional Quantum Hall Effect

Cited by in corpus (31)

• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ 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
• Tripartite Composite Fermion States
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Projective construction of the ${\mathbb{Z}}_k$ Read-Rezayi fractional quantum Hall states and their excitations on the torus geometry
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• Collective excitations at filling factor 5/2: The view from superspace
• Analytic Wavefunctions for Neutral Bulk Excitations in Fractional Quantum Hall Fluids
• Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Josephson Coupled Moore-Read States
• Chiral Topological Excitons in a Chern Band Insulator
• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Signatures of Supersymmetry in the $\nu =5/2$ Fractional Quantum Hall Effect
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Dipolar bogolons: from superfluids to Pfaffians
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• 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
• Fusion mechanism for quasiparticles and topological quantum order in the lowest Landau level
• Exactly Solvable Hamiltonian for Non-Abelian Quasiparticles
• Torus geometry eigenfunctions of an interacting multi-Landau level Hamiltonian
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods