  We study the thermodynamic phases of a gas of spin-1/2 atoms in the
Hartree-Fock approximation. Our main result is that, for repulsive or
weakly-attractive inter-component interaction strength, the superfluid and
ferromagnetic phase transitions occur at the same temperature. For
strongly-attractive inter-component interaction strength, however, the
ferromagnetic phase transition occurs at a higher temperature than the
superfluid phase transition. We also find that the presence of a condensate
acts as an effective magnetic field that polarizes the normal cloud. We finally
comment on the validity of the Hartree-Fock approximation in describing
different phenomena in this system.
