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arXiv · 2301.01050

Geometric theory of topological defects: methodological developments and new trends

Sébastien Fumeron·Bertrand Berche·Fernando Moraes
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Abstract

Liquid crystals generally support orientational singularities of the director field known as topological defects. These latter modifiy transport properties in their vicinity as if the geometry was non-Euclidean. We present a state of the art of the differential geometry of nematic liquid crystals, with a special emphasis on linear defects. We then discuss unexpected but deep connections with cosmology and high-energy-physics, and conclude with a review on defect engineering for transport phenomena.

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Sébastien Fumeron, Bertrand Berche, Fernando Moraes. 2023-01-03. Geometric theory of topological defects: methodological developments and new trends. https://doi.org/10.1080/21680396.2022.2163515

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