Abstract
The exact high temperature susceptibility series for the spin-1/2 uniaxially anisotropic Heisenberg model is derived through order T-7 for various lattices and anisotropies. The series is extrapolated by the Pade approximant method to give the critical parameters for a ferromagnet having spontaneous magnetization parallel to the symmetry axis of the system. When the anisotropy changes from the Ising limit to the isotropic Heisenberg limit the critical temperature of the system decreases, slowly in the Ising limit and rapidly in the isotropic limit. Our results are consistent with the hypothesis that the critical index remains constant as the anisotropy varies from the Ising limit toward the isotropic limit, and changes discontinuously when the system becomes isotropic.
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