MAGNETIC CHARACTER OF THE DEFORMABLE JELLIUM

Ground-state properties for the electron gas, in the deformable jelliu m, are obtained. Periodic expansions for the state function, with ferm ion density centered around a cubic lattice, are introduced. The param agnetic and ferromagnetic ground-state energies are calculated and com pared at each density to determine the magnetic character of the defor mable jellium. More than one transition point between different magnet ic phases are obtained and compared with those reported in the literat ure with different models. A paramagnetic region at intermediate densi ties, in the self-consistent Hartree-Fock approach, is recovered. At t hese densities a symmetry transitions from homogeneous to localized so lutions is obtained for both magnetic phases, and at lower densities t he electrons are localized into a paramagnetic or ferromagnetic Wigner -like crystal, respectively.