  Due to the lack of a net magnetization both at the interface and in the bulk,
antiferromagnets with compensated interfaces may appear incapable of
influencing the phase transition in an adjacent superconductor via the spin
degree of freedom. We here demonstrate that such an assertion is incorrect by
showing that proximity-coupling a compensated antiferromagnetic layer to a
superconductor-ferromagnet heterostructure introduces the possibility of
controlling the superconducting phase transition. The superconducting critical
temperature can in fact be modulated by rotating the magnetization of the
single ferromagnetic layer within the plane of the interface, although the
system is invariant under rotations of the magnetization in the absence of the
antiferromagnetic layer. Moreover, we predict that the superconducting phase
transition can trigger a reorientation of the ground state magnetization. Our
results show that a compensated antiferromagnetic interface is in fact able to
distinguish between different spin-polarizations of triplet Cooper pairs.
