Phase-field method of phase transitions/domain structures in ferroelectric thin films: A review
Phase-field method of phase transitions/domain structures in ferroelectric thin films: A review
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DOI：
10.1111/j.1551-2916.2008.02413.x
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发表时间：
2008-06-01
影响因子：
3.9
通讯作者：
Chen, Long-Qing
中科院分区：
文献类型：
--
作者：
Chen, Long-Qing
本文综述了相场法在铁电相变和电畴结构研究中的应用。首先简要介绍了机电耦合系统的热力学和均匀铁电单晶铁电相变的朗道描述。给出了均匀晶体在不同力学边界条件（包括薄膜边界条件）下的热力学势。然后概述了含畴结构的非均匀系统的相场方法。它描述了一个域结构使用的自发极化的空间分布。畴结构向平衡的演化是由非均匀畴结构的总自由能的减少驱动的，所述总自由能包括化学驱动力、畴壁能、静电能以及弹性能。一些例子进行了讨论，包括铁电薄膜和超晶格中的相变和畴稳定性。它表明，使用一组独立测量的热力学参数为相应的大块单晶，相场的方法是能够定量预测不仅应变对相变温度的影响，但也正确的铁电畴结构为一个给定的应变和温度。
This article briefly reviews recent applications of phase-field method to ferroelectric phase transitions and domain structures in thin films. It starts with a brief introduction to the thermodynamics of coupled electromechanical systems and the Landau description of ferroelectric transitions in homogeneous ferroelectric single crystals. The thermodynamic potentials of a homogeneous crystal under different mechanical boundary conditions are presented, including the thin-film boundary conditions. The phase-field approach to inhomogeneous systems containing domain structures is then outlined. It describes a domain structure using the spatial distribution of spontaneous polarization. The evolution of a domain structure towards equilibrium is driven by the reduction in the total-free energy of an inhomogeneous domain structure including the chemical driving force, domain wall energy, electrostatic energy as well as elastic energy. A number of examples are discussed, including phase transitions and domain stability in ferroelectric thin films and superlattices. It is demonstrated that using a set of independently measured thermodynamic parameters for the corresponding bulk single crystals, the phase-field approach is able to quantitatively predict not only the strain effect on phase transition temperatures but also the correct ferroelectric domain structures for a given strain and temperature.