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We introduce a new extended Heisenberg model. The model contains theorbital-dependent spins together with the retarded effects of spin torque. Themodel is directly derived from the dynamical linear response functions on thetransversal spin fluctuation. Our model allows us to address effects which arenot accessible via the usual Heisenberg model. With the model, we can describenot only the relaxation effects due to the Landau damping caused by the Stonerexcitations, but also the nesting effects of the Fermi surface. We discusspossibilities of the extended Heisenberg model based on the high-resolutionplots of the spin susceptibility for Fe.

Non-linear extension of the dynamical linear response of spins; extended Heisenberg model