Threading the Needle: Generating Textures in Nematics
arXiv:1212.6688
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.
arXiv comment5 pages, 3 figures