Topological Objects in Two-gap Superconductor:I

Details Topological Objects in Two-gap Superconductor:I Topological Objects in Two-gap Superconductor:I

2006-01-16

arxiv.org/abs/cond-mat/0601347v2

Physics

Condensed Matter

Other Condensed Matter

20 pages, 12 figures

Scientific paper

We discuss topological objects, in particular the non-Abrikosov vortex and the magnetic knot made of the twisted non-Abrikosov vortex, in two-gap superconductor. We show that there are two types of non-Abrikosov vortex in Ginzburg-Landau theory of two-gap superconductor, the D-type which has no concentration of the condensate at the core and the N-type which has a non-trivial profile of the condensate at the core, under a wide class of realistic interaction potential. Furthermore, we show that we can construct a stable magnetic knot by twisting the non-Abrikosov vortex and connecting two periodic ends together, whose knot topology $\pi_3(S^2)$ is described by the Chern-Simon index of the electromagnetic potential. We discuss how these topological objects can be constructed in $\rm MgB_2$ or in liquid metallic hydrogen.

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