Stability of the Hartree-Fock model with temperature
  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. 
Jean Dolbeault (CEREMADE), Patricio Felmer (DIM), Mathieu Lewin (AGM)