The temperature-dependent magnetization in anisotropic and in particular in uniaxial ferromagnetic monolayers should be compared with the exact solution of the two-dimensional Ising model rather than with the popular asymptotic power law, which equals the exact solution only in a very narrow critical range of temperatures. The saturation magnetization of a perpendicularly magnetized monolayer of Co on Cu(111) follows the Ising model in an extended range of temperatures.
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Kohlhepp et al. (1992) studied this question.
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