论文标题
接触拓扑和胆汁脂液液晶中的披露线的分类
Contact Topology and the Classification of Disclination Lines in Cholesteric Liquid Crystals
论文作者
论文摘要
我们使用接触拓扑的方法对胆固醇液体晶体中的缺陷线进行了拓扑分类。通过关注材料手性的作用，我们证明了标准同义理论论证未检测到的“紧密”和“截杀”披露线之间的基本区别。但是，悬而未决的线的分类与nematics相同，但是，我们表明，只要扭曲是不变的，紧密的脱节就具有保守的拓扑层数。最后，我们观察到手性使可移动缺陷线的逃脱感到沮丧，并解释了这种挫败感如何构成在实验中观察到的几种结构的形成。
We give a topological classification of defect lines in cholesteric liquid crystals using methods from contact topology. By focusing on the role played by the chirality of the material, we demonstrate a fundamental distinction between `tight' and `overtwisted' disclination lines not detected by standard homotopy theory arguments. The classification of overtwisted lines is the same as nematics, however, we show that tight disclinations possess a topological layer number that is conserved as long as the twist is nonvanishing. Finally, we observe that chirality frustrates the escape of removable defect lines, and explain how this frustration underlies the formation of several structures observed in experiments.
