Abstract
The present status of the theory of the temperature dependence of magnetocrystalline anisotropy in ferromagnetic insulators is reviewed and summarized. The l(l+1) 2 power law for the behavior at low temperatures is derived in a general fashion and the extension to arbitrary temperatures is also given. It is then shown that the l(l+1) 2 power law is not directly applicable to antiferromagnets, but that contrary to current opinion, quantum corrections to the ground state introduce significant alterations. We next discuss the magnetic field dependence of the anisotropy energy and finally, the l(l+1) 2 power law for the temperature dependence of magnetostriction.
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