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arXiv 0907.0120cond-mat.mtrl-sci
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铁电薄膜中的关联半径

Correlation radius in thin ferroelectric films

M. D. Glinchuk, A. N. Morozovska, E. A. Eliseev

摘要:

本文给出了具有面内(a-膜)和面外(c-膜)极化取向的厚度为L的铁电薄膜的极化涨落的剖面、平均值、相关半径和广义极化率的解析计算。计算中考虑了极化梯度、表面能和退极化场的贡献。对于二阶铁电体的相关半径和广义磁化率发散的薄膜临界厚度Lcr的预期。在无退极化场的情况下,表面能和极化梯度决定了薄膜厚度引起的相变、相关半径和相变点的广义磁化率发散等尺寸效应。对于强退极化场的碳膜,其表面能、极化梯度、与极化不均匀分布有关的本征退极化效应以及电极中的不完全屏蔽决定了相关半径和广义极化率尺寸效应。在合理的材料参数下,所有因素的贡献是相当的,但可以很容易地通过改变表面能系数、极化梯度贡献和筛选条件来调整。

英文摘要:

In the paper we present analytical calculations of the profiles and average values correlation radius of polarization fluctuations and generalized susceptibility in thin ferroelectric films of thickness L with in-plane (a-films) and out-of-plane (c-films) polarization orientation. The contribution of polarization gradient, surface energy and depolarization field (if any) were taken into account. For the second order ferroelectrics the correlation radius and generalized susceptibility diverge at the film critical thickness Lcr as anticipated. In the case of a-films where depolarization field is absent, the surface energy and polarization gradient govern the size effects such as thickness-induced phase transition, corresponding correlation radius and generalize susceptibility divergence in the phase transition point. In the case of c-films with strong depolarization field, the surface energy, polarization gradient, intrinsic depolarization effect related with polarization inhomogeneous distribution and incomplete screening in the electrodes determine the correlation radius and generalized susceptibility size effect. At that contribution of all the factors are comparable at reasonable material parameters, but could be easily tuned by varying of surface energy coefficients, polarization gradient contribution and screening conditions.

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