Comparison of approximate methods for the study of antiferromagnetism in the fcc lattice

Abstract
The study of antiferromagnetism in the fcc lattice by means of different approximate methods has resulted in varied and not always consistent results. An improved approximation of the cluster-variation method is used here to calculate the phase diagram of a model fcc system with nearest-neighbor antiferromagnetic interactions. Comparison with recent Monte Carlo simulations indicates that, despite some discrepancies near the triple-point region, the cluster-variation method provides a convenient technique for the study of phase equilibria in three-dimensional systems.