Abstract
The emergence of ferrimagnetism caused by the charge ordering of commensurately doped charged Ising spins is proposed in the extended Ising model, equivalent to the Blume–Emery–Griffiths model. The stability of the ferrimagnetic state is discussed on the basis of the energy at zero temperature, the sublattice magnetizations from mean field approximation, and Monte Carlo simulation, as examples on triangular and square lattices. The magnitude of the ferrimagnetic moment is suggested in connection with the dimensionality of the lattice.
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