Theory of hole magnetization $M_c$ in zinc-blende diluted ferromagnetic semiconductors is developed relaxing the spherical approximation of earlier approaches. The theory is employed to determine $M_c$ for $(\mathrm{Ga},\mathrm{Mn})\mathrm{As}$ over a wide range of hole concentrations and a number of crystallographic orientations of Mn magnetization. It is found that anisotropy of $M_c$ is practically negligible but the obtained magnitude of $M_c$ is significantly greater than that determined in the spherical approximation. Its sign and value compares favorably with the results of available magnetization measurements and ferromagnetic resonance studies.

• Received 6 September 2006

DOI:https://doi.org/10.1103/PhysRevB.74.245215