The Suzuki-Trotter decomposition in general allows one to divide the equation of motion of a dynamical system into smaller parts whose integration is easier than the original equation. In this study, we first rewrite by employing feasible approximations the modified Landau-Lifshitz-Gilbert equation for localized spins in a suitable form for simulations using the Suzuki-Trotter decomposition. Next we decompose the equation into parts and demonstrate that the parts are classified into three groups, each of which can be solved exactly. Since the modified Landau-Lifshitz-Gilbert equation from which we start is in a rather general form, simulations of spin dynamics in various systems accompanying only small numerical errors are possible.

• Received 11 June 2012

DOI:https://doi.org/10.1103/PhysRevB.86.104402