The Branch Process of Skyrmions in the Fractional Quantum Hall Effect

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2005,（8）
• 页码范围: 2047-2050
• 页数: 4页
• 语种: 英文

摘要

The branch process of the skyrmions in the fractional quantum Hall effect is studied from the φ-mapping topo logical current. It is shown that there exists a field ζ whose Hopf indices and Brouwer degrees characterize thetopological structure of the skyrmions. Based on the bifurcation theory of the φ-mapping theory, it is found that the skyrmions can be generated or annihilated at the limit points and they encounter, split or merge at the bifurcation points of the new field ζ.