The effect of the inclusion of As antisites in the diluted magnetic semicon
ductor (Ga, Mn)As is studied within the density functional theory in the lo
cal spin density approximation. In the case of the homogeneous distribution
of Mn ions, we find that the ferromagnetism is weakened by the presence of
the antisites. This is due to the compensation of the free holes which med
iate the long-range ferromagnetic order. In contrast, when two Mn ions are
coupled through only one As ion, the ferromagnetic and antiferromagnetic st
ates are comparable in energy. In this case, the magnetic ground state depe
nds on: (i) the position of the As antisites relative to the Mn, and (ii) t
he As antisite concentration. We explain our results using a model of compe
ting antiferromagnetic super exchange and ferromagnetic double exchange via
localized Zener carriers. (C) 2001 American Institute of Physics.