Measuring the ferromagnetic resonance cone angle via static dipolar fields using diamond spins

We demonstrate quantitative measurement of the ferromagnetic resonance (FMR) precession cone angle of a microscale sample of vanadium tetracyanoethylene (V[TCNE]${}_{x\ensuremath{\sim}2}$) using diamond spins. V[TCNE]${}_{x\ensuremath{\sim}2}$ is a low-damping, low-magnetization ferrimagnet with potential for scalable spintronics applications. Our study is motivated by the persistent need for quantitative metrology to accurately characterize magnetic dynamics and relaxation. Recently, diamond spins have emerged as sensitive probes of static and dynamic magnetic signals. Unlike analog sensors that require additional calibration, diamond spins respond to magnetic fields via a frequency shift that can be compared with frequency standards. We use a spin-echo-based approach to measure the precession-induced change to the static stray dipolar field of a pair of V[TCNE]${}_{x\ensuremath{\sim}2}$ disks under FMR excitation. Using these stray dipolar field measurements and micromagnetic simulations, we extract the precession cone angle. Additionally, we quantitatively measure the microwave field amplitude using the same diamond spins, thus forming a quantitative link between drive and response. We find that our V[TCNE]${}_{x\ensuremath{\sim}2}$ sample can be driven to a cone angle of at least ${6}^{\ensuremath{\circ}}$ with a microwave field amplitude of only 0.53 G. This work highlights the power of diamond spins for local, quantitative magnetic characterization.