Néel temperature and magnetic phase boundary of the spin-(formula presented) heisenberg antiferromagnet in three dimensions

We obtained the eighth-order linked-cluster series for the free energy, the sublattice magnetization, and the staggered susceptibility of the spin-(Formula presented) Heisenberg antiferromagnet on three-dimensional bipartite lattices. The series are analyzed using the standard extrapolation techniques with the application of a conformal transformation method to obtain the Néel temperature and the temperature dependence of sublattice magnetization. We obtain a more accurate estimate of the Néel temperature and the magnetic phase boundary for the body-centered cubic and the simple cubic lattices. The results are compared with related works.