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

Abstract

A new class of analytic wave functions is derived for two dimensional N-electron $(2<~N<\ensuremath{\infty})$ 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 that extends throughout the system.