Abstract
The magnetic anisotropy coefficients and constants of single-ion origin as functions of magnetization have been computed and classified. They are valid for a whole class of untrivial theories and are thus universal or canonic within this class. The role of the anisotropy coefficients as a finite basis of functions spanning the variation of the constants with magnetization and, hence, with temperature and applied field is clarified. The ratio of the zero-temperature anisotropy constants is of crucial importance for the observed type of magnetization dependence of the first anisotropy constant when two basis functions are considered. The method is directly applicable to the analysis of magnetostriction of single-ion origin and serves to identify and quantify three generic types of variation of anisotropy and magnetostriction. It is demonstrated that a compensation point lambda S=0 for the macroscopic magnetostriction constant of amorphous ferromagnets may result from the competition between the lowest and the next-lowest single-ion contributions even if no two-ion contributions are considered. Prospective extensions of the method are given.
Published Version
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