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

Constantine Yannouleas·Uzi Landman
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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.

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Constantine Yannouleas, Uzi Landman. 2002-09-20. Trial wave functions with long-range Coulomb correlations for two-dimensional N-electron systems in high magnetic fields. https://doi.org/10.1103/physrevb.66.115315

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