2007/12/24 by Xin-Hui Zhang, XIN-HUI ZHANG, YI-SHI DUAN +5
Computer Science · Physics and Astronomy · #Hopf bifurcation #Limit (mathematics) #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Symmetry protected topological order #Topological Materials and Phenomena #Topological entropy in physics #Topological quantum number #Vortex #hep-th
paper · pdf · doi:10.1142/s0217979209052480
published as Int.J.Mod.Phys.B00:1-11,2009 · 13 pages 10 figures. accepted by IJMPB
arxiv created 2007/12/24 · openalex publication_date 2009/11/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Based on the ϕ-mapping theory, we obtain an exact Bogomol'nyi self-dual equation with a topological term, which is ignored in traditional self-dual equation, in the fractional quantum Hall system. It is revealed that there exist self-dual vortices in the system. We investigate the inner topological structure of the self-dual vortices and show that the topological charges of the vortices are quantized by Hopf indices and Brouwer degrees. Furthermore, we study the branch processes in detail. The vortices are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points of the vector field ϕ.