Aspects of Defect Topology in Smectic Liquid Crystals

Thomas Machon*, Hillel Aharoni, Yichen Hu, Randall D. Kamien

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)
131 Downloads (Pure)

Abstract

We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.

Original languageEnglish
Pages (from-to)525-542
Number of pages18
JournalCommunications in Mathematical Physics
Volume372
Issue number2
Early online date20 Feb 2019
DOIs
Publication statusPublished - 1 Dec 2019

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