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

TL;DR

This paper develops wavefunctions for quasielectron states in the $ u=1/3$ fractional quantum Hall fluid, revealing their composite structure and modeling neutral bulk excitations with an effective three-body approach.

Contribution

It introduces a new model wavefunction for single-quasielectron states and an effective three-body model for neutral bulk excitations in Laughlin quantum Hall fluids.

Findings

Quasielectron states are composites of quasiparticles and quasiholes with specific angular momentum.

The constructed wavefunctions match the composite fermion picture.

An effective three-body model captures the physics of neutral bulk excitations.

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 $e^*$ = $e/3$ quasielectron state is identified as a composite of a charge-$2e^*$ quasiparticle and a $-e^*$ quasihole, orbiting around their common center of charge with relative angular momentum $n\hbar > 0$, 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 $2e^*$ quasiparticle and two $-e^*$ quasiholes) is introduced to capture the essential physics of the neutral bulk excitations.