Topological Vortex Lines in Two-Gap Superconductor
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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