Nature of Quasielectrons and the Continuum of Neutral Bulk Excitations in the Laughlin Quantum Hall Fluids

Abstract

We construct model wavefunctions for a family of single-quasielectron states supported by the $\nu =1/3$ fractional quantum Hall (FQH) fluid. The charge $e^{\ast }$ = $e/3$ quasielectron state is identified as a composite of a charge-$2e^{\ast }$ quasiparticle and a $-e^{\ast }$ quasihole, orbiting around their common center of charge with relative angular momentum $n\hslash >0$, and corresponds precisely to the "composite fermion" construction based on a filled $n=0$ Landau level plus an extra particle in level $n>0$. An effective three-body model (one $2e^{\ast }$ quasiparticle and two $-e^{\ast }$ quasiholes) is introduced to capture the essential physics of the neutral bulk excitations.

4 pages, 3 figs, minor modifications for the published version

References in corpus (6)

• Fractional Quantum Hall States and Jack Polynomials
• Model Wavefunctions for the Collective Modes and the Magneto-roton Theory of the Fractional Quantum Hall Effect
• Clustering Properties and Model Wavefunctions for Non-Abelian Fractional Quantum Hall Quasielectrons
• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Higher Energy Composite Fermion Levels in the Fractional Quantum Hall Effect

Cited by in corpus (16)

• Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
• Positions of the magnetoroton minima in the fractional quantum Hall effect
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Microscopic theory for nematic fractional quantum Hall effect
• Emergent Commensurability from Hilbert Space Truncation in Fractional Quantum Hall Fluids
• Neutral Collective Modes in Spin-Polarized Fractional Quantum Hall States at Filling Factors 1/3, 2/5, 3/7, and 4/9
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Fractionalisation and dynamics of anyons at $\nu =n+1/3$ in fractional quantum Hall effect and their experimental signatures
• Elementary Excitations in Fractional Quantum Hall Effect from Classical Constraints
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
• Quasielectrons in lattice Moore-Read models
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• The composite fermion theory revisited: a microscopic derivation without Landau level projection
• Continuum limit of lattice quasielectron wavefunctions