  Inspired by recent feats in exchange coupling antiferromagnets to an adjacent
material, we demonstrate the possibility of employing them for inducing spin
splitting in a superconductor, thereby avoiding the detrimental, parasitic
effects of ferromagnets employed to this end. We derive the Gor'kov equation
for the matrix Green's function in the superconducting layer, considering a
microscopic model for its disordered interface with a two-sublattice magnetic
insulator. We find that an antiferromagnetic insulator with effectively
uncompensated interface induces a large, disorder-resistant spin splitting in
the adjacent superconductor. In addition, we find contributions to the
self-energy stemming from the interfacial disorder. Within our model, these
mimic impurity and spin-flip scattering, while another breaks the symmetries in
particle-hole and spin spaces. The latter contribution, however, drops out in
the quasi-classical approximation and thus, does not significantly affect the
superconducting state.
