Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields

Constantine Yannouleas, Uzi Landman

Published 2002-04-24, updated 2002-09-20Version 2

A new class of analytic wave functions is derived for two dimensional N-electron (2 <= N < infinity) systems in high magnetic fields. These functions are constructed through breaking (at the Hartree-Fock level) and subsequent restoration (via post-Hartree-Fock methods) of the circular symmetry. They are suitable for describing long-range Coulomb correlations, while the Laughlin and composite-fermion functions describe Jastrow correlations associated with a short-range repulsion. Underlying our approach is a collectively-rotating-electron-molecule picture, yielding for all N an oscillatory radial electron density.