Abstract
Soft-mode theory based on DIFFOUR model for ferroelectric interaction and the mean-field theory of high spin Ising model for antiferromagnetic interaction are used to investigate the ferroelectric, antiferromagnetic, magnetoelectric properties in ferroelectromagnetic lattice in which the ferroelectric order and antiferromagnetic order coexist simultaneously below a certain temperature. Ferroelectric polarization, spin moment, and magnetoelectric susceptibility as well, as a function of temperature for system, are calculated and compared with the different coupling coefficient. It is found that an anomaly appears in curve of the polarization susceptibility as a function of temperature due to the coupling between the ferroelectric and antiferromagnetic orders in the ferroelectromagnetic lattice. At the same time, we also considered the influence of magnetoelectric effect on polarization susceptibility by applying the external field including electric and magnetic.
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