Abstract
The magnetic phase diagrams of the double-exchange model with an antiferromagnetic superexchange interaction between localized spins are investigated on a three-dimensional 3D lattice by using a Monte Carlo technique. The transition temperature ${T}_{c}$ is obtained from the calculated susceptibility and is used to determine the phase boundaries. As a result, the antiferromagnetic phase is realized, and the dependence of the ferromagnetic ${T}_{c}$ on the doping concentration exhibits a maximum near a doping of $x\ensuremath{\sim}1/3.$ In contrast to the mean-field predictions, if the magnetic field is included, the ferromagnetic ordering is strongly enhanced, and the antiferromagnetic ordering is not replaced by a canted phase but is suppressed at low doping levels. Moreover, the relevance of this complicated spin ordering to the phase separation observed in the ferromagnetic Kondo lattice model with strong Hund coupling is studied further.
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