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A new class of analytic wave functions is derived for two dimensionalN-electron (2 <= N < infinity) systems in high magnetic fields. These functionsare constructed through breaking (at the Hartree-Fock level) and subsequentrestoration (via post-Hartree-Fock methods) of the circular symmetry. They aresuitable for describing long-range Coulomb correlations, while the Laughlin andcomposite-fermion functions describe Jastrow correlations associated with ashort-range repulsion. Underlying our approach is acollectively-rotating-electron-molecule picture, yielding for all N anoscillatory radial electron density.

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