Abstract
We study the supercurrent resulting from coupling of the Josephson phase and the spinwave excited by microwave radiation in a ferromagnetic Josephson junction, in which twosuperconductors are separated by a ferromagnet. To explore how the spin-wave excitationaffects the current–voltage curve, the resistively shunted junction model, which is anequation of motion for the Josephson phase, is extended by considering the gaugeinvariance including magnetization. When the magnetization is driven by the microwaveadjusted to the ferromagnetic resonance frequency, the dc supercurrent is induced in thejunction and the current–voltage curve shows step structures as a function of appliedvoltage. The position of each step in voltage is proportional to the microwave frequencymultiplied by an even number. This means that the even number of magnons is necessaryfor the singlet Cooper pair to go through the ferromagnetic layer. The magnitudes ofstep height can be controlled by tuning the shape of the interface. Our resultspresent a new route to observe the spin-wave excitation by the Josephson effect.
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