Combining Dynamical Mean Field and Local Density Approximations in the study of GaMnAs

We use the band structure predicted by the Local Density Approximation as the starting point for a self consistent Dynamical Mean Field treatment of the ferromagnetic order in GaAs doped with Mn. Our model is an effective eight-band model including the heavy and light valence bands, the split-off valence band and the conduction band of the host material. The exchange interaction between the randomly distributed magnetic ions and the itinerant carriers is modeled using a modified double-exchange coupling. We compare our results with the ones predicted by more simplified models.