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向列相液晶畴壁中挠曲电效应和自发扭曲效应的理论研究

Theoretical study of flexoelectric effect and spontaneous distortion in domain walls within nematic liquid crystal system

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摘要

基于Landau-de Gennes理论, 利用松弛迭代法, 研究了电场诱导平行排列向列相液晶系统中的3种畴壁, 以及畴壁中的挠曲电效应和自发扭曲效应。结果表明, 畴壁存在的电压范围为0.2≤E/E0≤1.2(E0=1.45 V/μm)。单一常数近似下, 相反方向外电场的挠曲电效应对扭曲壁中扭曲角的影响关于90°对称; 对混合壁中扭曲角的影响是非对称的; 对展-弯壁无影响。弹性各向异性时, 外电场会诱导自发扭曲效应。该效应会使展-弯壁与混合壁中指向矢均由原角度变为90°, 即沿壁切线方向排列; 对扭曲壁结构无影响。挠曲电效应会在自发扭曲的基础上, 对畴壁中指向矢扭曲角产生叠加影响。

Abstract

Based on Landau-de Gennes theory, we investigated the flexoelectric effect and spontaneous distortion effect within three different domain walls in parallel aligned nematic liquid crystal system influenced by electric field, using the relaxation iterative method. Our results show that, the domain walls in our system exist in the range of 0.2≤E/E0≤1.2(E0=1.45 V/μm). With one elastic constant approximation, flexoelectric effect with opposite direction of electric field will influence the twist angle of domain walls, which has 90° symmetry effect on twist wall, asymmetric effect on mixed wall, and no influence on spay-bend wall. Under the elastic anisotropy, external field will induce spontaneous distortion effect, which will change the twist angle from original angle to 90° both in splay-bend wall and mixed wall, namely the director will reorient along the tangential direction of wall, but have no effect on twist wall. Beyond that, flexoelectric effect will have superposition impact on the director orientation in the domain wall.

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中图分类号:O753.2

DOI:10.3788/yjyxs20183301.0001

所属栏目:材料与器件

基金项目:国家自然科学基金(No.11374087)

收稿日期:2017-07-24

修改稿日期:2017-08-12

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张 晶:河北工业大学 理学院, 天津300401
周 璇:河北工业大学 理学院, 天津300401
陈思博:河北工业大学 理学院, 天津300401
刘 凯:河北冀雅电子有限公司, 河北 石家庄 050071
张志东:河北工业大学 理学院, 天津300401

联系人作者:张晶(617758346@qq.com)

备注:张晶(1992-), 女, 河北保定人, 硕士研究生, 从事液晶物理方面的学习和研究。

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引用该论文

ZHANG Jing,ZHOU Xuan,CHEN Si-bo,LIU Kai,ZHANG Zhi-dong. Theoretical study of flexoelectric effect and spontaneous distortion in domain walls within nematic liquid crystal system[J]. Chinese Journal of Liquid Crystals and Displays, 2018, 33(1): 1-13

张 晶,周 璇,陈思博,刘 凯,张志东. 向列相液晶畴壁中挠曲电效应和自发扭曲效应的理论研究[J]. 液晶与显示, 2018, 33(1): 1-13

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