A new Proposal for a Quasielectron Trial Wavefunction for the FQHE on a Disk

TL;DR

This paper introduces a new trial wavefunction for quasielectrons in the fractional quantum Hall effect on a disk, providing a better understanding of their properties and energy expectations.

Contribution

It proposes a novel quasielectron wavefunction that satisfies the correct filling factor and yields angular momentum eigenstates for N electrons.

Findings

Energy expectation values match numerical diagonalization data

Provides N+1 angular momentum eigenfunctions

Enhances modeling of quasielectrons in FQHE

Abstract

In this letter, we propose a new quasielectron trial wavefunction for $N$ interacting electrons in two dimensions moving in a strong magnetic field in a disk geometry. Requiring that the trial wavefunction exhibits the correct filling factor of a quasielectron wavefunction, we obtain $N+1$ angular momentum eigenfunctions. The expectation values of the energy are calculated and compared with the data of an exact numerical diagonalization.