Finite-temperature behavior of anisotropic two-sublattice magnets

The finite-temperature magnetism of rare-earth transition-metal intermetallics is investigated by extending the n-component vector spin model to two-sublattice magnets. Mean-field analysis shows that the influence of the rare-earth anisotropy on the mean-field Curie temperature is much smaller than expected from the low-temperature rare-earth anisotropy. The use of ultraspherical polynomials yields a generalization of the famous m(m+1)/2 power-law exponent to m(m+n-2)/(n-1). © 1998 American Institute of Physics.