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Recent experiments on strongly coupled microwave and ferromagnetic resonancemodes have focused on large volume bulk crystals such as yttrium iron garnet,typically of millimeter-scale dimensions. We extend these experiments to lowervolumes of magnetic material by exploiting low-impedance lumped-elementmicrowave resonators. The low impedance equates to a smaller magnetic modevolume, which allows us to couple to a smaller number of spins in theferromagnet. Compared to previous experiments, we reduce the number ofparticipating spins by two orders of magnitude, while maintaining the strengthof the coupling rate. Strongly coupled devices with small volumes of magneticmaterial may allow the use of spin orbit torques, which require high currentdensities incompatible with existing structures.

Low-impedance superconducting microwave resonators for strong coupling to small magnetic mode volumes