| Topological quantization of disclination points in three—dimensional liquid crystals |
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| 引用本文： | 杨国宏,张慧,段一士.Topological quantization of disclination points in three—dimensional liquid crystals[J].中国物理 B,2002,11(5):415-418. |
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| 作者姓名： | 杨国宏 张慧 段一士 |
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| 作者单位： | (1)Department of Chemistry, Shanghai University, Shanghai 200436, China; (2)Department of Physics, Shanghai University, Shanghai 200436, China; (3)Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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| 基金项目： | Project supported by the Science Foundation from the Education Commission of Shanghai, China (Grant Nos 2000QN64 and 2000A15). |
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| 摘 要： | Using the φ-mapping method and topological current theory, we study the inner structure of disclination points in three-dimensional liquid crystals. By introducing the strength density and the topological current of many disclination points, it is pointed out that the disclination points are determined by the singularities of the general director field and they are topologically quantized by the Hopf indices and Brouwer degrees.
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| 关 键 词： | 液晶 拓扑缺陷 拓扑量子化 |
| 收稿时间： | 2001-10-17 |
Topological quantization of disclination points in three-dimensional liquid crystals |
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| Yang Guo-Hong,Zhang Hui and Duan Yi-Shi.Topological quantization of disclination points in three-dimensional liquid crystals[J].Chinese Physics B,2002,11(5):415-418. |
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| Authors: | Yang Guo-Hong Zhang Hui and Duan Yi-Shi |
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| Institution: | Department of Physics, Shanghai University, Shanghai 200436, China; Department of Chemistry, Shanghai University, Shanghai 200436, China; Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | Using the φ-mapping method and topological current theory, we study the inner structure of disclination points in three-dimensional liquid crystals. By introducing the strength density and the topological current of many disclination points, it is pointed out that the disclination points are determined by the singularities of the general director field and they are topologically quantized by the Hopf indices and Brouwer degrees. |
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| Keywords: | topological current wrapping number director field disclination point |
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