Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor

Details Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor

2003-11-10

arxiv.org/abs/cond-mat/0311201v2

Phys. Rev. B73 180506(R) (2006)

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.73.180506

We establish the existence of topologically stable knot in two-gap superconductor whose topology $\pi_3(S^2)$ is fixed by the Chern-Simon index of the electromagnetic potential. We present a helical magnetic vortex solution in Ginzburg-Landau theory of two-gap superconductor which has a non-vanishing condensate at the core, and identify the knot as a twisted magnetic vortex ring made of the helical vortex. We discuss how the knot can be constructed in the recent two-gap $\rm MgB_2$ superconductor.

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