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

TL;DR

This paper introduces a new class of analytic wave functions for two-dimensional N-electron systems in high magnetic fields, capturing long-range Coulomb correlations through symmetry-breaking and restoration techniques, advancing beyond traditional short-range correlation models.

Contribution

It develops a novel wave function construction method that incorporates long-range Coulomb correlations using symmetry-breaking and post-Hartree-Fock restoration, applicable to all N-electron systems.

Findings

Wave functions exhibit oscillatory radial electron density.

Method effectively captures long-range Coulomb correlations.

Applicable for all N-electron systems in high magnetic fields.

Abstract

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.