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Knotted defects in nematic liquid crystals

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Machon, Thomas and Alexander, Gareth P. (2014) Knotted defects in nematic liquid crystals. Physical Review Letters, Volume 113 (Number 2). doi:10.1103/PhysRevLett.113.027801

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.113.027801

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Abstract

We show that the number of distinct topological states associated with a given knotted defect, L, in a nematic liquid crystal is equal to the determinant of the link L. We give an interpretation of these states, demonstrate how they may be identified in experiments, and describe the consequences for material behavior and interactions between multiple knots. We show that stable knots can be created in a bulk cholesteric and illustrate the topology by classifying a simulated Hopf link. In addition, we give a topological heuristic for the resolution of strand crossings in defect coarsening processes which allows us to distinguish topological classes of a given link and to make predictions about defect crossings in nematic liquid crystals.

Item Type: Journal Article
Divisions: Faculty of Science > Physics
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Official Date: 9 July 2014
Dates:
DateEvent
9 July 2014Published
27 February 2014Submitted
Volume: Volume 113
Number: Number 2
DOI: 10.1103/PhysRevLett.113.027801
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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