More about the Laughlin droplet

Abstract

We compare the exact diagonalization ground wave function (calculated wothout any restriction) of a two dimensional droplet submitted to a perpendicular magnetic field with the Laughlin ansatz as the number of electrons increases. The fully polarized case for filling factor 1/3 without lateral confining potential or Zeeman effect is considered. We observe that the overlap worsens as the number of electrons increases.

9 pages, 2 figures, 1 table