Generating the Hopf fibration experimentally in nematic liquid crystals

Generating the Hopf fibration experimentally in nematic liquid crystals

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...

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Veröffentlicht in:Physical review letters 2013-06, Vol.110 (23), p.237801-237801, Article 237801
Hauptverfasser: Chen, Bryan Gin-ge, Ackerman, Paul J, Alexander, Gareth P, Kamien, Randall D, Smalyukh, Ivan I
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.110.237801