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Non-Abrikosov vortex and topological knot in two-gap superconductors

Y. M. Cho, Pengming Zhang

DOI 10.1103/PhysRevB.73.180506 · Physical Review B

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Abstract

We establish the existence of a topologically stable knot in a 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 a Ginzburg-Landau theory of a two-gap superconductor which has a nonvanishing 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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FormulaReported Tc (K)Pressure (GPa)Type
MgB2

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—Pressure not reportedunknown

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