Topological Defects in Liquid Crystal Films |
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| Authors: | DUAN Yi-Shi ZHAO Li ZHANG Xin-Hui SI Tie-Yan |
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| Institution: | 1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
;2. Institute of Theoretical Physics, the Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | A topological theory of liquid crystal films in the presence of defects is developed based on the φ-mapping topological current theory. By generalizing the free-energy density in "one-constant" approximation, a covariant freeenergy density is obtained, from which the U(1) gauge field and the unified topological current for monopoles and strings in liquid crystals are derived. The inner topological structure of these topological defects is characterized by the winding numbers of φ-mapping. |
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| Keywords: | director field free-energy density topological current topological defects winding number |
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