We determine the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions. At low electronic densities, the Wigner crystal solution is stable, but for higher densities (rs less than ∼3) we obtain a ground state of different symmetry: the charge density forms a triangular lattice with about 11% more sites than electrons. We argue that this conducting state with broken translational symmetry remains the ground state of the high density region in the thermodynamic limit giving rise to a metal to insulator transition.
@article{arxiv.0804.1025,
title = {Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions},
author = {B. Bernu and F. Delyon and M. Duneau and M. Holzmann},
journal= {arXiv preprint arXiv:0804.1025},
year = {2014}
}