中国物理B ›› 2002, Vol. 11 ›› Issue (5): 415-418.doi: 10.1088/1009-1963/11/5/301

• •    下一篇

Topological quantization of disclination points in three-dimensional liquid crystals

张慧1, 杨国宏2, 段一士3   

  1. (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
  • 收稿日期:2001-10-17 修回日期:2001-11-25 出版日期:2002-05-13 发布日期:2005-06-13
  • 基金资助:
    Project supported by the Science Foundation from the Education Commission of Shanghai, China (Grant Nos 2000QN64 and 2000A15).

Topological quantization of disclination points in three-dimensional liquid crystals

Yang Guo-Hong (杨国宏)a, Zhang Hui (张慧)b,  Duan Yi-Shi (段一士)c   

  1. a Department of Physics, Shanghai University, Shanghai 200436, China; b Department of Chemistry, Shanghai University, Shanghai 200436, China; c Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2001-10-17 Revised:2001-11-25 Online:2002-05-13 Published:2005-06-13
  • Supported by:
    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.

Abstract: Using the $\phi$-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.

Key words: topological current, wrapping number, director field, disclination point

中图分类号:  (Defects in liquid crystals)

  • 61.30.Jf
02.40.Pc (General topology)