Abstract
The effect of perpendicular surface anisotropy on surface spin-wave excitations in a semi-infinite ferromagnet is studied by solving the coupled equations of motion of spin-wave annihilation and creation operators. The ground-state spin arrangement in our model is either as in-plane ordering or a canted one due to a competition between the perpendicular anisotropy in the surface and the bulk anisotropy parallel to the surface, and surface spin-wave frequencies are calculated in both phases. It is shown that at the transition point between these two distinct phases a low-lying surface spin-wave branch becomes soft, and consequently the ellipticity and the amplitude of spin precessions in the surface layer grow large in the vicinity of the transition point.
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