Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-10-20
Physics
Condensed Matter
Strongly Correlated Electrons
13 pages, 5 figures, rewrite of 0804.1025 and 0807.0770
Scientific paper
10.1103/PhysRevB.78.245110
We determine numerically 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 ($r_s$ less than $\sim 2.7$) we obtain a ground state of different symmetry: the charge density forms a triangular lattice with about 11% more sites than electrons. We prove analytically that this conducting state with broken translational symmetry has lower energy than the uniform Fermi gas state in the high density region giving rise to a metal to insulator transition.
Bernu Bernard
Delyon F.
Duneau Michel
Holzmann Markus
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