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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >A general analytical equation for phase diagrams of an N-layer ferroelectric thin film with two surface layers
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A general analytical equation for phase diagrams of an N-layer ferroelectric thin film with two surface layers

机译：具有两个表面层的N层铁电薄膜相图的一般解析方程

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摘要

Within the framework of effective-field theory with correlations, the phase diagrams of an N-layer ferroelectric thin film with two surface layers are studied by the differential operator technique based on the spin-1/2 transverse Ising model. A general analytical equation for the phase diagram of a ferroelectric thin film with arbitrary layer number as well as exchange interactions and transverse fields is derived, and then the effects of exchange interactions and transverse fields on phase diagrams are discussed for an arbitrary layer number N. Meanwhile, the crossover features, from the ferroelectric-dominant phase diagram (FPD) to the paraelectric-dominant phase diagram (PPD), for various parameters of an N-layer ferroelectric thin film with two surface layers are investigated. As a result, an N-independent common intersection point equation is obtained, and the three-dimensional curved surfaces for the crossover values are constructed. In comparison with the usual mean-field approximation, the differential operator technique with correlations reduces to some extent the ferroelectric features of a ferroelectric thin film.
机译：在具有相关性的有效场理论的框架内，利用基于自旋1/2横向伊辛模型的微分算子技术研究了具有两个表面层的N层铁电薄膜的相图。推导了具有任意层数以及交换相互作用和横向场的铁电薄膜相图的一般解析方程，然后讨论了任意层数N时交换相互作用和横向场对相图的影响。同时，研究了具有两个表面层的N层铁电薄膜的各种参数从铁电主相图（FPD）到顺电主相图（PPD）的交叉特性。结果，获得了独立于N的公共交点方程，并且构造了用于交越值的三维曲面。与通常的平均场近似相比，具有相关性的微分算子技术在某种程度上降低了铁电薄膜的铁电特性。

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