Effective Hamiltonian for Ga1-xMnxAs in the dilute limit -: art. no. 097202

We derive an effective Hamiltonian for Ga1-xMnxAs in the dilute limit, where Ga1-xMnxAs can be described in terms of spin F=3/2 polarons hopping between the Mn sites and coupled to the local Mn spins. We determine the parameters of our model from microscopic calculations. Our approach treats the large Coulomb interaction in a nonperturbative way, captures the effects of spin-orbit coupling and disorder, and is appropriate for other p-doped magnetic semiconductors.