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Hysteresis loops taken at a surface are often found to change even when the probing depth of the magnetic measurement varies by only a few lattice spacings. We report an interpretation of these changes in the framework of a simple model which assumes that only one sheet of thickness d at the surface is magnetically different from the bulk. The model reproduces the experimental hysteresis loops with a variety of materials. One obtains the magnetic anisotropy Kₛ of the surface and the exchange stiffness A₁,2 along a path perpendicular to the surface. For Fe(100), Kₛ and A₁,2 are found to be very small; furthermore, the average easy direction of the surface magnetization is at approximately 75^∘{} to the one in the bulk.
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Siegmann et al. (1988) studied this question.
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