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Mechanism of quasilinear temperature dependence of the surface magnetization in a semi-infinite ferromagnet.

A semiclassical method involving surface spin waves is used to calculate the spontaneous magnetization M near the surface of a semi‐infinite ferromagnet. It is assumed as before1 that the magnitude of the surface anisotropy constant Ks introduced by Neel is negligible compared to the surface anisotropy constant Kss introduced by the present author. We now generalize our calculations in two respects. First, we include dipolar interactions to keep the calculated M from diverging even when the value of Kss is relatively large. We find, as in our previous work,1 that under the above conditions any positive value of Kss causes the dependence of M on the temperature T to be quasilinear rather than proportional to T3/2 and the dependence of M on position to be exponential. Alternative predictions2 of a quasilinear T dependence of M apply only to T values near the Curie temperature. Second, we explore the consequences of assuming that the exchange stiffness constant A is weakened at the surface. We show that such...