The Effects of a Non-Ferroelectric Slab on the Polarization and the   Susceptibility of the Ferroelectric Multilayer
  The polarization and the susceptibility of a ferroelectric multilayer with a non-ferroelectric slab are investigated within the framework of transverse Ising model with a four-spin interaction term. The effect of the thickness and the position of the non-ferroelectric slab are investigated in this paper. We find that the increase of the thickness of the non-ferroelectric will decrease the polarization and the susceptibility of the film. If the position of the non-ferroelcetric slab shifts from the center of the film to the surface, the number of the peaks of the susceptibility will change. And a step-like polarization curve is found. 
Yin-Zhong Wu, Dong-Lai Yao, Wen Dong, and Zhen-Ya Li