We estimate, using high-temperature series expansions, the transition temperatures of the spin 1/2, 1 and 3/2 Heisenberg ferromagnet and antiferromagnet in 3-dimensions. The manner in which the difference between Curie and Neel temperatures vanishes with increasing spin quantum number is investigated.
@article{arxiv.cond-mat/0409041,
title = {Curie and Neel Temperatures of Quantum Magnets},
author = {J. Oitmaa and Weihong Zheng},
journal= {arXiv preprint arXiv:cond-mat/0409041},
year = {2009}
}