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Topological Vortex Lines in Two-Gap Superconductor

Yi-Shi Duan·Xin-Hui Zhang·Li Zhao
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Abstract

Based on the U(1) gauge potential decomposition theory and the $ϕ$-mapping method, we study the vortex lines in two-gap superconductor and obtain the condition, under which the vortices can carry an arbitrary fraction of magnetic flux. It has been pointed out that the Chern-Simon action is a topological invariant, which is just the total sum of all the self-linking numbers and all the linking numbers of the knot family.

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Yi-Shi Duan, Xin-Hui Zhang, Li Zhao. 2007-03-19. Topological Vortex Lines in Two-Gap Superconductor. https://arxiv.org/abs/cond-mat/0703476

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