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Geometry of bend : singular lines and defects in twist-bend nematics
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Binysh, Jack, Pollard, Joseph and Alexander, Gareth P. (2020) Geometry of bend : singular lines and defects in twist-bend nematics. Physical Review Letters, 125 (4). 047801 . doi:10.1103/PhysRevLett.125.047801 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.125.047801
Abstract
We describe the geometry of bend distortions in liquid crystals and their fundamental degeneracies, which we call β lines; these represent a new class of linelike topological defect in twist-bend nematics. We present constructions for smecticlike textures containing screw and edge dislocations and also for vortexlike structures of double twist and Skyrmions. We analyze their local geometry and global structure, showing that their intersection with any surface is twice the Skyrmion number. Finally, we demonstrate how arbitrary knots and links can be created and describe them in terms of merons, giving a geometric perspective on the fractionalization of Skyrmions.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QC Physics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Skyrme model, Liquid crystals, Liquid crystals -- Mathematical models | |||||||||
| Journal or Publication Title: | Physical Review Letters | |||||||||
| Publisher: | American Physical Society | |||||||||
| ISSN: | 0031-9007 | |||||||||
| Official Date: | 24 July 2020 | |||||||||
| Dates: |
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| Volume: | 125 | |||||||||
| Number: | 4 | |||||||||
| Article Number: | 047801 | |||||||||
| DOI: | 10.1103/PhysRevLett.125.047801 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||
| Date of first compliant deposit: | 31 July 2020 | |||||||||
| Date of first compliant Open Access: | 3 August 2020 | |||||||||
| RIOXX Funder/Project Grant: |
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