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The nonlinear frequency shift coefficient, which represents the strength ofthe transformation of amplitude fluctuations into phase fluctuations of anoscillator, is measured for MgO-based spin-torque oscillators by analyzing thecurrent dependence of the power spectrum. We have observed that linewidthagainst inverse normalized power plots show linear behavior below and above theoscillation threshold as predicted by the analytical theories for spin-torqueoscillators. The magnitude of the coefficient is determined from the ratio ofthe linear slopes. Small magnitude of the coefficient has been obtained for thedevice exhibiting narrow linewidth at high bias current.

Measurement of nonlinear frequency shift coefficient in spin-torque oscillators based on MgO tunnel junctions