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Woven nematic defects, skyrmions, and the Abelian sandpile model
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Machon, Thomas and Alexander, Gareth P. (2018) Woven nematic defects, skyrmions, and the Abelian sandpile model. Physical Review Letters, 121 (23). 237801. doi:10.1103/PhysRevLett.121.237801 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.121.237801
Abstract
We show that a fixed set of woven defect lines in a nematic liquid crystal supports a set of nonsingular topological states which can be mapped on t o recurrent stable configurations in the Abelian sandpile model or chip-firing game. The physical correspondence between local skyrmion flux and sandpile height is made between the two models. Using a toy model of the elastic energy, we examine the structure of energy minima as a function of topological class and show that the system admits domain wall skyrmion solitons.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QC Physics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
Library of Congress Subject Headings (LCSH): | Nematic liquid crystals, Skyrme model | ||||||||
Journal or Publication Title: | Physical Review Letters | ||||||||
Publisher: | American Physical Society | ||||||||
ISSN: | 0031-9007 | ||||||||
Official Date: | 7 December 2018 | ||||||||
Dates: |
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Volume: | 121 | ||||||||
Number: | 23 | ||||||||
Article Number: | 237801 | ||||||||
DOI: | 10.1103/PhysRevLett.121.237801 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Reuse Statement (publisher, data, author rights): | © 2018 American Physical Society | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 4 December 2018 | ||||||||
Date of first compliant Open Access: | 5 December 2018 | ||||||||
RIOXX Funder/Project Grant: |
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