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We determine the ground state of the two-dimensional, fully polarizedelectron gas within the Hartree-Fock approximation without imposing anyparticular symmetries on the solutions. At low electronic densities, the Wignercrystal solution is stable, but for higher densities ($r_s$ less than $\sim 3$)we obtain a ground state of different symmetry: the charge density forms atriangular lattice with about 11% more sites than electrons. We argue that thisconducting state with broken translational symmetry remains the ground state ofthe high density region in the thermodynamic limit giving rise to a metal toinsulator transition.

Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions