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We report on a time-domain study of parametric synchronization in a magnetictunnel junction based spin torque nano-oscillator (STNO). Time-domainmeasurements of the instantaneous frequency ($f_{i}$) of a parametricallysynchronized STNO show random short-term unlocking of the STNO signal for lowinjected radio-frequency (RF) power, which cannot be revealed in time-averagedfrequency domain measurements. Macrospin simulations reproduce the experimentalresults and reveal that the random unlocking during synchronization is drivenby thermal fluctuations. We show that by using a high injected RF power, randomunlocking of the STNO can be avoided. However, a perfect synchronizationcharacterized by complete suppression of phase noise, so-called phase noisesqueezing, can be obtained only at a significantly higher RF power. Ourmacrospin simulations suggest that a lower temperature and a higher positiveratio of the field-like torque to the spin transfer torque reduce the thresholdRF power required for phase noise squeezing under parametric synchronization.

Time-domain stability of parametric synchronization in a spin-torque nano-oscillator based on a magnetic tunnel junction