We calculate the electronic states of the Mn-doped semiconductors and show
that resonant states are formed at the top of the down spin valence band du
e to the magnetic impurities and that they give rise to a strong and long-r
anged ferromagnetic coupling between Mn moments. These resonant states brin
g about the spin-dependent resistivity to produce magnetoresistive properti
es of(Ga-Mn)As and their junctions. (C) 2001 Elsevier Science B.V. All righ
ts reserved.