Power law analysis for temperature dependence of magnetocrystalline anisotropy constants of Nd₂Fe₁₄B magnets

We perform phenomenological analysis of the temperature dependence of magnetocrystalline anisotropy (MA) in rare-earth magnets. We define the phenomenological power laws applicable to compound magnets using the Zener theory, and we apply these laws to study the magnetocrystalline anisotropy constants (MACs) of Nd₂Fe₁₄B magnets. The results indicate that the MACs closely obey the power law, and further, our analysis yields a better understanding of the temperature-dependent MA in rare-earth magnets. Furthermore, to examine the validity of the power law, we discuss the temperature dependence of the MACs in Dy₂Fe₁₄B and Y₂Fe₁₄B magnets as examples of cases wherein it is difficult to interpret the MA using the power law.