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arXiv 0912.4573cond-mat.softcond-mat.dis-nn
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异质衬底液晶盒中液晶有序的稳定性和畸变

Stability and distortions of liquid crystal order in a cell with a heterogeneous substrate

Quan Zhang, Leo Radzihovsky

摘要:

研究了具有随机异质衬底的液晶盒中液晶有序的稳定性和畸变。将该系统建模为具有局限于表面的淬火无序的体xy模型,我们发现,这种表面钉扎的顺序是稍微不稳定的。我们计算的长度尺度,超过该尺度,扭曲变得很大,并计算取向关联函数使用功能重整化组和匹配的方法,找到普遍的对数和双对数的扭曲,在二维和三维,分别。我们将这些结果扩展到具有第二均匀衬底的有限厚度液晶单元,详细描述了作为随机钉扎强度和单元厚度的函数的交叉。我们的结论与分析的实验签名,这些扭曲在传统的交叉偏振分析光学显微镜。

英文摘要:

We study stability and distortions of liquid crystal nematic order in a cell with a random heterogeneous substrate. Modeling this system as a bulk xy model with quenched disorder confined to a surface, we find that nematic order is marginally unstable to such surface pinning. We compute the length scale beyond which nematic distortions become large and calculate orientational correlation functions using the functional renormalization-group and matching methods, finding universal logarithmic and double-logarithmic distortions in two and three dimensions, respectively. We extend these results to a finite-thickness liquid crystal cell with a second homogeneous substrate, detailing crossovers as a function of random pinning strength and cell thickness. We conclude with analysis of experimental signatures of these distortions in a conventional crossed-polarizer-analyzer light microscopy.

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