The magnetic couplings in insulating LaMnO₃, CaMnO₃, and the planar analogs Laₙ₊₁{Mn}ₙO₃ₙ₊₁ are estimated using standard superexchange arguments. The orbital ordering observed in LaMnO₃ is found to lead to the observed magnetic exchange constants if the effective Mn on-site interaction UMn is larger than the charge transfer energy. Differences between the pseudocubic and the planar materials are accounted for. The effect of doping is discussed.
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A. J. Millis (1997) studied this question.
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