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Generating the Hopf fibration experimentally in nematic liquid crystals
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Chen, Bryan Gin-ge, Ackerman, Paul J., Alexander, Gareth P., Kamien, Randall and Smalyukh, Ivan I. (2013) Generating the Hopf fibration experimentally in nematic liquid crystals. Physical Review Letters, Volume 110 (Number 23). Article number 237801 . doi:10.1103/PhysRevLett.110.237801 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.110.237801
Abstract
The Hopf fibration is an example of a texture: a topologically stable, smooth, global configuration of a field. Here we demonstrate the controlled sculpting of the Hopf fibration in nematic liquid crystals through the control of point defects. We demonstrate how these are related to torons by use of a topological visualization technique derived from the Pontryagin-Thom construction.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Liquid crystals, Topology, Homotopy theory, Solitons, Mathematical physics | ||||
Journal or Publication Title: | Physical Review Letters | ||||
Publisher: | American Physical Society | ||||
ISSN: | 0031-9007 | ||||
Official Date: | 3 June 2013 | ||||
Dates: |
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Volume: | Volume 110 | ||||
Number: | Number 23 | ||||
Page Range: | Article number 237801 | ||||
DOI: | 10.1103/PhysRevLett.110.237801 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | National Science Foundation (U.S.) (NSF) | ||||
Grant number: | NSF PHY11-25915 |
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