Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 110, Issue 35, Pages 14174-14179Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1308225110
Keywords
topological defects; homotopy theory; metamaterials
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Funding
- UK Engineering and Physical Sciences Research Council
- University of Warwick
- Engineering and Physical Sciences Research Council [1091175] Funding Source: researchfish
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Knots and knotted fields enrich physical phenomena ranging from DNA and molecular chemistry to the vortices of fluid flows and textures of ordered media. Liquid crystals provide an ideal setting for exploring such topological phenomena through control of their characteristic defects. The use of colloids in generating defects and knotted configurations in liquid crystals has been demonstrated for spherical and toroidal particles and shows promise for the development of novel photonic devices. Extending this existing work, we describe the full topological implications of colloids representing nonorientable surfaces and use it to construct torus knots and links of type (p,2) around multiply twisted Mobius strips.
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