  We study the competition between ferromagnetic double exchange (DE) and
nearest-neighbour antiferromagnetic exchange in CMR materials. Towards this
end, a single site mean field theory is proposed which emphasizes the
hopping-mediated nature of the DE contribution. We find that the competition
between these two exchange interactions leads to ferro- or antiferromagnetic
order with incomplete saturation of the (sub)lattice magnetization. This
conclusion is in contrast to previous results in the literature which find a
canted spin arrangement under similar circumstances. We attribute this
difference to the highly anisotropic exchange interactions used elsewhere. The
associated experimental implications are discussed.
