Effect of Anisotropy on the Critical Behaviour of Three- Dimensional Heisenberg Ferromagnets
نویسندگان
چکیده
The anisotropic nearest-neighbour Heisenberg model for the simple cubic lattice has been investigated by interpolating the anisotropy between the Ising and isotropic Heisenberg limits via general spin high-temperature series expansions of the zero-field suspectibility. This is done by estimating the critical temperature (7V3 >) and the susceptibility exponent y from the analysis of the series by the Ratio and Pade approximants methods. It is noted that 7V3 ) varies with anisotropy while y is almost the same for the anisotropic system, and a jump in it occurs for the isotropic case in agreement with the universality hypothesis. The effect of anisotropy on the susceptibility is also shown. Further, it is seen that estimates of y for the two extreme limits agree well with those of previous theoretical as well as experimental investigations. In addition, critical temperatures have been summarised in a relation, and expressions for the magnetisation have been derived.
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