  The ground state of an acceptor-bound hole in a zinc-blende semiconductor is
formed by four eigenstates of the total angular momentum, which is a vector sum
of spin and orbital moment of the hole. As a result, the hyperfine interaction
of the hole with lattice nuclei becomes anisotropic and coordinate-dependent.
We develop a theory of dynamic polarization of nuclear spins by the
acceptor-bound hole, giving full account for its complex spin structure. The
rate of hole-nuclear flip-flop transitions is shown to depend on the angle
between the total angular momentum of the hole and the position vector of the
nucleus with respect to the acceptor center. The resulted spatially
inhomogeneous spin polarization of nuclei gives rise to non-equidistant spin
splitting of the hole, which can be detected by methods of optical or microwave
spectroscopy.
