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The dynamical transverse magnetic Kohn-Sham susceptibility calculated withintime-dependent density functional theory shows a fairly linear behavior for afinite energy window. This observation is used to propose a scheme where thecomputation of this quantity is greatly simplified. Regular simulations basedon static density functional theory can be used to extract the dynamicalbehavior of the magnetic response function. Besides the ability to calculateelegantly damping of magnetic excitations, we derive along the way usefulequations giving the main characteristics of these excitations: effective$g$-factors and the resonance frequencies that can be accessed experimentallyusing inelastic scanning tunneling spectroscopy or spin-polarized electronenergy loss spectroscopy.

Transverse dynamical magnetic susceptibilities from regular static density functional theory: Evaluation of damping and g-shifts of spin-excitations