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The NV center in diamond has proven to be a powerful tool for locallycharacterizing the magnetic response of microwave excited ferromagnets. Todate, this has been limited by the requirement that the FMR excitationfrequency be less than the NV spin resonance frequency. Here we report NVrelaxometry based on a two-magnon Raman-like process, enabling detection of FMRat frequencies higher than the NV frequency. For high microwave drive powers,we observe an unexpected field-shift of the NV response relative to asimultaneous microwave absorption signal from a low damping ferrite film. Weshow that the field-shifted NV response is due to a second order Suhlinstability. The instability creates a large population of non-equilibriummagnons which relax the NV spin, even when the uniform mode FMR frequencyexceeds that of the NV spin resonance frequency, hence ruling out thepossibility that the NV is relaxed by a single NV-resonant magnon. We arguethat at high frequencies the NV response is due to a two-magnon relaxationprocess in which the difference frequency of two magnons matches the NVfrequency, and at low frequencies we evaluate the lineshape of the one-magnonNV relaxometry response using spinwave instability theory.

Ferromagnetic dynamics detected via one- and two-magnon NV relaxometry