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SUMMARY:Geometric Frustration and Modulated Phases in Liquid Crystals - Jo
 nathan Selinger (Kent State University)
DTSTART:20230823T133000Z
DTEND:20230823T140000Z
UID:TALK204022@talks.cam.ac.uk
DESCRIPTION:We analyze modulated phases in liquid crystals\, using the con
 cept of four fundamental modes of director deformation:&nbsp\; twist\, ben
 d\, splay\, and a fourth mode related to saddle-splay [1\,2]. Each mode is
  coupled to a specific type of molecular order: chirality\, polarization p
 erpendicular and parallel to the director\, and octupolar order. When the 
 liquid crystal develops one type of spontaneous order\, the ideal local st
 ructure becomes nonuniform\, with the corresponding director deformation. 
 In general\, the ideal local structure is frustrated\; it cannot fill spac
 e. As a result\, the liquid crystal must form a complex global phase\, whi
 ch may have a combination of deformation modes\, and may have a periodic a
 rray of defects. Thus\, the concept of an ideal local structure under geom
 etric frustration provides a unified framework to understand the wide vari
 ety of modulated phases [3].\n[1] T. Machon\, G. P. Alexander\, Phys. Rev.
  X 6\, 011033 (2016).\n[2] J. V. Selinger\, Liq. Cryst. Rev. 6\, 129 (2018
 ).\n[3] J. V. Selinger\, Annu. Rev. Condens. Matter Phys. 13\, 49 (2022).
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