A comparison of FQHE quasi-electron trial wave functions on the disk

TL;DR

This paper compares different trial wave functions for FQHE quasi-electrons on a disk, finding Jain's wave function has the lowest energy in a short-range interaction model for up to ten electrons.

Contribution

It evaluates and compares multiple FQHE quasi-electron trial wave functions, highlighting Jain's wave function as the most energetically favorable.

Findings

Jain's trial wave function has the lowest energy expectation value.

The study uses a short-range interaction model at filling factor 1/3.

Results are based on calculations for up to ten electrons.

Abstract

The various proposals for FQHE quasi-electron trial wave functions are reconsidered. In a short-range model for the electronic interaction, the energy expectation values of four different trial wave functions are calculated at filling factor $\frac{1}{3}$ for up to ten electrons in the disk geometry. Jain's trial wave function displays the lowest energy expectation value.