Evidence of coupling between magnon excitation and the Gilbert damping in half-metallic oxides

Gilbert damping in precessional spin dynamics has been investigated in defect-controlled epitaxial grown Fe$_3$O$_4$$(111)/$YSZ films by all-optical pump-probe measurements. It is demonstrated that the perpendicular standing spin wave (PSSW mode) is exclusively observed in the annealed film without atomic defects. The numerical simulation results confirm the presence of a standing wave in addition to the coherent magnetic precession (Kittel mode). The intrinsic damping constant $\alpha_0=0.063\pm0.010$ of the annealed Fe$_3$O$_4$ film was found to be strikingly larger than that of the as-grown film of $\alpha_0=0.039\pm0.004$. Our work has demonstrated that the PSSW mode leads to the enhancement of the Gilbert damping associated with the emergence of an additional energy transfer channel from the excited magnon to the uniform spin precession in the defect free Fe$_3$O$_4$.