Abstract

Eighth-order high-temperature series expansions for the free energy, the magnetization and the staggered susceptibility of a spin- 1 2 Heisenberg antiferromagnet in a magnetic field on three-dimensional bipartite lattices have been derived from the linked-cluster series expansion. These series have been analyzed using Padé approximants to obtain the critical temperature and the magnetization at the critical temperature as a function of applied magnetic field. The phase diagram in the critical magnetic field versus critical temperature plane is obtained for the body-centered cubic lattice in the low-field region.

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