Interaction of magnons with plasmons in a system of antiferromagnetic insulators coupled to a superconductor microwave cavity through interfacial exchange interaction

A superconductor can interact with magnets through the magnetic field which is induced by supercurrent. However, this interaction rather weak and requires relatively large to reach a sizable hybridization of microwave electromagnetic modes magnons. The size device be drastically reduced means interfacial exchange between spins in magnet superconductor. In spin-orbit coupled transmitted s-wave condensate mixing triplet singlet Cooper pairs. paper we theoretically consider thin antiferromagnetic films, make spin compensated contact superconducting wire, forms cavity for Mooij-Sch\"{o}n plasma waves. effective Lagrangian derived where these waves magnons taken into account. Frequencies hybrid magnon-plasmon are calculated. system two micromagnets placed far apart also considered their mutual coupling mode