Self-dual Vortices in Schrödinger-Chern-Simons Model |
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Authors: | DUAN Yi-Shi TIAN Miao ZHANG Xin-Hui |
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Institution: | 1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
;2. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China |
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Abstract: | By making use of the U(1) gauge potential decomposition theory and
the φ-mapping topological current theory, we investigate the
Schrödinger-Chern-Simons model in the thin-film superconductor system and obtain an exact Bogomolny self-dual
equation with a topological term. It is revealed that there exist self-dual vortices in the system. We study the inner topological structure of the self-dual vortices and show that their
topological charges are topologically quantized and labeled by
Hopf indices and Brouwer degrees. Furthermore, 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. |
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Keywords: | self-dual vortices thin-film superconductors |
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