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

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.

8 pages

Cited by in corpus (2)

• A comparison of FQHE quasi electron trial wave functions on the sphere
• Electrons in a Strong Magnetic Field on a Disk