Defect generation and deconfinement on corrugated topographies
Defect generation and deconfinement on corrugated topographies
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DOI：
10.1103/physreve.70.051105
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发表时间：
2004-11-01
影响因子：
2.4
通讯作者：
Nelson, DR
中科院分区：
文献类型：
--
作者：
Vitelli, V;Nelson, DR
我们研究了覆盖具有空间变化的高斯曲率的冻结表面的液晶薄膜中由地形驱动的缺陷的产生，其拓扑结构并不自动要求基态缺陷。我们特别研究了六方相覆盖的高斯凸起表面随长宽比的增加而产生的位错-解束缚跃迁。文中还讨论了光滑基态织构对单个缺陷产生的不稳定性。文中考虑了单个凸块的自由边界条件以及周期性凸块阵列。最后，我们认为，随着表面长宽比的降低，被对齐壁包围的凸起上的缺陷经历了急剧的退禁闭转变。
We investigate topography-driven generation of defects in liquid crystal films coating frozen surfaces of spatially varying Gaussian curvature whose topology does not automatically require defects in the ground state. We study in particular disclination-unbinding transitions with increasing aspect ratio for a surface shaped as a Gaussian bump with a hexatic phase draped over it. The instability of a smooth ground state texture to the generation of a single defect is also discussed. Free boundary conditions for a single bump are considered as well as periodic arrays of bumps. Finally, we argue that defects on a bump encircled by an aligning wall undergo sharp deconfinement transitions as the aspect ratio of the surface is lowered.