  This paper is devoted to the Hartree-Fock model with temperature in the
euclidean space. For large classes of free energy functionals, minimizers are
obtained as long as the total charge of the system does not exceed a threshold
which depends on the temperature. The usual Hartree-Fock model is recovered in
the zero temperature limit. An orbital stability result for the Cauchy problem
is deduced from the variational approach.
