  The zinc-blende GaAs-based III-V diluted magnetic semiconductors (DMS)are
studied in the coherent potential approximation(CPA). In this work, we use the
exact Hilbert transformation of the face-centered cubic(fcc) density of states
(DOS), which is different from the usual semi-circle density of states employed
in our previous work. Our calculated relation of ground-state energy and
impurity magnetization shows that ferromagnetism is always favorable at low
temperatures. For very weak Kondo coupling, the density of states (DOS) of the
host semiconductor is modified slightly. Impurity band can be generated at the
host band bottom only when Kondo coupling is strong enough. Using Weiss
molecular theory, we predict a nonlinear relation of Curie temperature with
respect to Kondo coupling, as is different from the conclusion of our previous
calculations based on semicircle DOS. The agreement of our calculated $T_{\rm
C}$ with measured values is convincing.
