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Phenomenological analysis for the temperature dependence of themagnetocrystalline anisotropy (MA) in rare earth magnets is presented. Wedefine phenomenological power laws applicable to compound magnets using theZener theory, apply these laws to the magnetocrystalline anisotropy constants(MACs) of Nd$_2$Fe$_{14}$B magnets. The results indicate that the MACs obey thepower law well, and a general understanding for the temperature-dependent MA inrare earth magnets is obtained through the analysis. Furthermore, to examinethe validity of the power law, we discuss the temperature dependence of theMACs in Dy$_2$Fe$_{14}$B and Y$_2$Fe$_{14}$B magnets as examples wherein it isdifficult to interpret the MA using the power law.

Power law analysis for temperature dependence of magnetocrystalline anisotropy constants of Nd$_2$Fe$_{14}$B magnets