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arXiv 1302.5146cond-mat.mtrl-sci
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受主掺杂钛酸铅中缺陷偶极子的形成和开关:基于第一性原理计算的动力学模型

Formation and switching of defect dipoles in acceptor doped lead titanate: A kinetic model based on first-principles calculations

Paul Erhart, Petra Träskelin, Karsten Albe

摘要:

受主掺杂的钛酸铅中缺陷偶极子的形成和场诱导的转换由表示良好建立的Arlt-Neumann模型的扩展的动力学模型描述[铁电体(Ferroelectrics){ \bf 76},303(1987)]。从第一性原理计算得到的缺陷协会和重新取向的氧空位掺杂剂(铜和铁)的配合物的能量势垒,并作为输入数据的动力学系数的速率方程模型。该模型的数值解描述了在不同的温度和掺杂剂浓度的存在或不存在的交变外场的氧空位分布的时间演化。我们预测的所有缺陷偶极子与周围矩阵的自发极化对齐的特征时间尺度。在这种状态下,缺陷偶极子作为畴壁运动的障碍,并有助于实验观察到的老化。在循环条件下,完全对齐的配置被扰动,并与缺陷偶极子在平行和反平行取向相对于自发极化的动态平衡建立。这一过程与压电陶瓷的时效行为有关。

英文摘要:

The formation and field-induced switching of defect dipoles in acceptor doped lead titanate is described by a kinetic model representing an extension of the well established Arlt-Neumann model [Ferroelectrics {\bf 76}, 303 (1987)]. Energy barriers for defect association and reorientation of oxygen vacancy-dopant (Cu and Fe) complexes are obtained from first-principles calculations and serve as input data for the kinetic coefficients in the rate equation model. The numerical solution of the model describes the time evolution of the oxygen vacancy distribution at different temperatures and dopant concentrations in the presence or absence of an alternating external field. We predict the characteristic time scale for the alignment of all defect dipoles with the spontanenous polarization of the surrounding matrix. In this state the defect dipoles act as obstacles for domain wall motion and contribute to the experimentally observed aging. Under cycling conditions the fully aligned configuration is perturbed and a dynamic equilibrium is established with defect dipoles in parallel and anti-parallel orientation relative to the spontaneous polarization. This process can be related to the deaging behavior of piezoelectric ceramics.

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