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 $\hat{I}½=1/3$ 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