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We investigate non-adiabatic effects on the magnon frequency in aninteracting system of localized spins and itinerant electrons. Including thelowest order corrections to the adiabatic dynamics in an analytically solvablemodel, applicable to simple ferromagnets like Fe, Co and Ni, we find that themagnon frequency is renormalized by a geometrical torque arising from theelectronic spin Berry curvature. Comparison to exact numerical simulationsreveals that our analytical solution captures essential low-energy features,and provides a mechanism for the magnon frequency hardening observed in recentfirst principles calculations for Fe, provided the geometrical torque is takeninto account.

Magnon frequency renormalization by the electronic geometrical spin torque in itinerant magnets