✍ Scribed by R. Świrkowicz
No coin nor oath required. For personal study only.
The transverse dynamic susceptibility of thin ferromagnetic film and spin-wave eigenfunctions are calculated within the framework of the Hubbard model. For various values of surface parameters the localization of the spin-wave modes, their energies and damping of the modes are discussed. The calculations show that a decrease of the effective Coulomb integral in the surface layer without any change of other surface parameters causes the substantial lowering of the surface magnetization and lead to appearance of optical surface modes. These modes, however, are strongly damped. An increase of the effective integral in the surface layer leads to an increase of the surface magnetization and favors appearance of the acoustic surface modes. The changes of the core energies in the surface layer also favor appearance of acoustic surface modes provided the surface magnetization is close or larger than the bulk one.
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