2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164292We 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).12 pages, 2 figuresStrongly Correlated ElectronsExistence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gastext