Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor
Y. M. Cho, Pengming Zhang
Abstract
We establish the existence of topologically stable knot in two-gap superconductor whose topology π3(S2) 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 MgB2 superconductor.
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