  Magnons in antiferromagnetic insulators couple strongly to conduction
electrons in adjacent metals. We show that this interfacial tie can lead to
superconductivity in a tri-layer consisting of a metal sandwiched between two
antiferromagnetic insulators. The critical temperature is closely related to
the magnon gap, which can be in the THz range. We estimate the critical
temperature in MnF$_2$-Au-MnF$_2$ to be on the order of 1 K. The Umklapp
scattering at metal-antiferromagnet interfaces leads to a d-wave
superconductive pairing, in contrast to the p-wave superconductivity mediated
by magnons in ferromagnets.

Mesoscale and Nanoscale Physics