Geometric Frustration and Modulated Phases in Liquid Crystals

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• Jonathan Selinger (Kent State University)
• Wednesday 23 August 2023, 14:30-15:00
• External.

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PMVW01 - 5th International Conference on Packing Problems: Packing and patterns in granular mechanics

We analyze modulated phases in liquid crystals, using the concept of four fundamental modes of director deformation:  twist, bend, splay, and a fourth mode related to saddle-splay [1,2]. Each mode is coupled to a specific type of molecular order: chirality, polarization perpendicular and parallel to the director, and octupolar order. When the liquid crystal develops one type of spontaneous order, the ideal local structure becomes nonuniform, with the corresponding director deformation. In general, the ideal local structure is frustrated; it cannot fill space. As a result, the liquid crystal must form a complex global phase, which may have a combination of deformation modes, and may have a periodic array of defects. Thus, the concept of an ideal local structure under geometric frustration provides a unified framework to understand the wide variety of modulated phases [3]. [1] T. Machon, G. P. Alexander, Phys. Rev. X 6 , 011033 (2016). [2] J. V. Selinger, Liq. Cryst. Rev. 6, 129 (2018). [3] J. V. Selinger, Annu. Rev. Condens. Matter Phys. 13, 49 (2022).

This talk is part of the Isaac Newton Institute Seminar Series series.

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