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We propose a theoretical framework of a magnetization switching inducedsolely by a microwave. The microwave frequency is always close to but slightlydifferent from the oscillation frequency of the magnetization. By efficientlyabsorbing energy from the microwave, the magnetization climbs up the energylandscape to synchronize the precession with the microwave. We introduced adimensionless parameter $\epsilon$ determining the difference between themicrowave frequency and the instant oscillation frequency of the magnetization.We analytically derived the condition of $\epsilon$ to switch themagnetization, and confirmed its validity by the comparison with numericalsimulations.

Magnetization switching by microwaves synchronized in the vicinity of precession frequency