Abstract
The self-consistent phonon theory and the coherent potential approximation method are applied to investigate the displacive ferroelectric phase transitions occurring in the ternary solid solution. Especially, the substitutional disordered phonon system with both random diagonal and off-diagonal interactions has been dealt with and numerical computation has been made under different strengths of the atomic coupling. The results show that the interactions between different atoms greatly influence the properties of phase transitions in solid solutions and the anomalous relation between dielectric constant versus temperature can be explained. The new approach is shown to be able to offer a much more detailed description for the various solid solution systems.
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