  We present the spin and orbitally resolved local density of states (LDOS) for
a single Mn impurity and for two nearby Mn impurities in GaAs. The GaAs host is
described by a sp^3 tight-binding Hamiltonian, and the Mn impurity is described
by a local p-d hybridization and on-site potential. Local spin-polarized
resonances within the valence bands significantly enhance the LDOS near the
band edge. For two nearby parallel Mn moments the acceptor states hybridize and
split in energy. Thus scanning tunneling spectroscopy can directly measure the
Mn-Mn interaction as a function of distance.
