  Intraband and interband contributions to the current-driven spin-orbit torque
in magnetic materials lacking inversion symmetry are theoretically studied
using Kubo formula. In addition to the current-driven field-like torque ${\bf
T}_{\rm FL}= \tau_{\rm FL}{\bf m}\times{\bf u}_{\rm so}$ (${\bf u}_{\rm so}$
being a unit vector determined by the symmetry of the spin-orbit coupling), we
explore the intrinsic contribution arising from impurity-independent interband
transitions and producing an anti-damping-like torque of the form ${\bf T}_{\rm
DL}= \tau_{\rm DL}{\bf m}\times({\bf u}_{\rm so}\times{\bf m})$. Analytical
expressions are obtained in the model case of a magnetic Rashba two-dimensional
electron gas, while numerical calculations have been performed on a dilute
magnetic semiconductor (Ga,Mn)As modeled by the Kohn-Luttinger Hamiltonian
exchanged coupled to the Mn moments. Parametric dependences of the different
torque components and similarities to the analytical results of the Rashba
two-dimensional electron gas in the weak disorder limit are described.
