The dependence of the curie temperature and the critical transverse field on the long - range exponent is obtained . long - range effects on the pyroelectric coefficient and susceptibility of a ferroelectric bilayer with a ferroelectric interfacial coupling are investigated by use of the transverse ising model within the framework of mean field theory 同时还考察了长程相互作用对居里温度和临界横场的影响；界面、长程相互作用及横场对铁电双层膜的热电性质和介电性质的影响在本文的第三部分我们作了较为详细的研究。
By extending the pyroelectric theory of a ferroelectric bilayer , we have presented the effective pyroelectric coefficient of a ferroelectric sandwich structure by use of the electrostatic theory . when the pyroelectric coefficient of the interface has a large deviation from that of the two - sided slabs and the dielectric constant of the interface is low , the effective pyroelectric coefficient of the sandwich structure may be one or two order higher than the largest pyroelectric coefficient of the components 我们应用静多层结构铁电系统的物理性质研究摘要电场理论，推广了铁电双层膜的热电理论，给出了铁电三明治结构的有效热电系数，发现在界面层的热电系数与上下两层的热电系数差异较大，且界面层的介电常数较小的情况下，三明治这种复合结构材料的有效热电系数比单一组份材料的热电系数可以提高一到两个数量级。
We also find that the strong long - range interaction , the large transverse field and weak interfacial coupling can lead to the disappearance of some of the peaks of the pyroelectric coefficient and susceptibility of the ferroelectric bilayer . we believe that it is the reason why these phenomena always take place in the experimental studies 我们还发现，较强的长程相互作用，较大的横场以及相对较弱的界面耦合作用将会导致铁电双层薄膜的热电系数和介电极化率的某些峰消失，这可以用来解释在实验中常常观测不到热释电系数和介电极化率的某些峰值的原因。
In the framework of the long - range interaction , we study the interfacial effects on the pyroelectric and dielectric susceptibility of a ferroelectric bilayer for the first time . we find that the quantum effect can lead to the disappearance of some of the peaks of the pyroelectric and susceptibility of the bilayer 我们首次在长程相互作用的框架内，考察了界面对双层膜的热电、介电等物理性质的影响，且量子效应的增强会导致铁电双层薄膜的热电系数和介电极化率的某些峰的消失。
