Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas

Details Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas

2008-07-04

arxiv.org/abs/0807.0770v1

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 2 figures

Scientific paper

We consider the ground state of the homogeneous electron gas and we prove
that a Hartree-Fock solution, motivated by previous simulations, has lower
energy than the Fermi gas in the large density limit. This solution is a
metallic phase : the density modulation corresponds to a partially occupied
crystal (the number of sites is larger than the number of electrons).

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