  Using Dynamical Mean Field Theory (DMFT) and Monte Carlo (MC) simulations, we
study the ferromagnetic transition temperature Tc of a two-band model for
Diluted Magnetic Semiconductors (DMS), varying coupling constants, hopping
parameters, and carrier densities. We found that Tc is optimized at all
fillings p when both impurity bands (IB) fully overlap in the same energy
range, namely when the exchange couplings J and bandwidths are identical. The
optimal Tc is found to be about twice larger than the maximum value obtained in
the one-band model, showing the importance of multiband descriptions of DMS at
intermediate J's.
