Topological quantization of disclination points in three-dimensional liquid crystals

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: topological current wrapping number director field disclination point
• 年，卷（期）: 2002,（5）
• 页码范围: 415-418
• 页数: 4页
• 分类号: O4
• 语种: 英文

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.