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

Abstract

We establish the existence of topologically stable knot in two-gap superconductor whose topology Ο€3(S2)\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 MgB2\rm MgB_2 superconductor.Comment: 4 pages, 3 figure

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    Last time updated on 02/01/2020