The remarkable experimental discovery of femtosecond scale laser pulse-driven demagnetization process in ferromagnetic nickel in mid ’90s spurred a flurry of experimental and theoretical research activities in ultrafast magnetization dynamics. Standard theoretical description of magnetization dynamics based on Landau-Lifshitz-Gilbert equation is justified only for slow enough spin phenomena while those occurring at very short time scales are much less understood. The past two decades have observed a remarkable theoretical development predicting the emergence of dynamical inertia in magnetization dynamics at very short time scale, focusing mostly on the dynamics of a single spin, leading to the prediction of a new type of spin motion called nutation. We advance this theoretical progress by considering inertial effect on the dynamics of a system of interacting spins. We demonstrate the occurrence of a new type of collective mode referred to as nutation wave, shown to have massive relativistic dispersion relation with characteristic speed and frequency well exceeding those of the more familiar spin wave. These excellent properties make nutation wave a prospective candidate to be a platform for optically-driven ultrafast spintronic devices.
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