  Andreev bound states can occur at single impurities in superconductors if the
impurities suppress superconductivity for a given system. In particular,
well-known Yu-Shiba-Rusinov states occur at magnetic impurities in conventional
s-wave superconductors. Here we demonstrate that nonmagnetic impurities in S/AF
heterostructures with conventional intraband s-wave pairing also produce
Andreev bound states. Analogously to the Yu-Shiba-Rusinov bound states the
bound states in S/AF bilayers are spin split, but the spin of a particular
bound state is determined by the sublattice to which the impurity belongs. The
standard decay of the bound state LDOS is superimposed by atomic oscillations
related to the staggered character of the exchange field in the host material
and by another oscillating pattern produced by finite-momentum Neel triplet
pairing generated at the impurity.
