Carrier-induced ferromagnetism in the doped diluted magnetic semicondu
ctors (In,Mn up arrow,Mn down arrow, A)As, where A is As or Sn and Mn
up arrow (Mn down arrow) denotes Mn atoms whose local magnetic moment
is parallel (antiparallel) to the magnetization, are investigated usin
g the Korringa-Kohn-Rostoker coherent-potential approximation and loca
l density approximation first-principles calculation. The result shows
that (i) the ferromagnetic state is stable due to the double exchange
at low concentrations of A,and (ii) a spin-glass-like local-moment di
sordered state, which stems from the superexchange, is more favorable
when the Mn d holes are nearly compensated.