4.8 Article

Generating the Hopf Fibration Experimentally in Nematic Liquid Crystals

Journal

PHYSICAL REVIEW LETTERS
Volume 110, Issue 23, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.237801

Keywords

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Funding

  1. NSF [DMR05-47230]
  2. National Science Foundation [NSF PHY11-25915]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Materials Research [0847782] Funding Source: National Science Foundation

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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.

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