45,451 research outputs found
Non-Abrikosov Vortex and Topological Knot in Two-gap Superconductor
We establish the existence of topologically stable knot in two-gap
superconductor whose topology 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 superconductor.Comment: 4 pages, 3 figure
Monopoles and Knots in Skyrme Theory
We show that the Skyrme theory actually is a theory of monopoles which allows
a new type of solitons, the topological knots made of monopole-anti-monopole
pair,which is different from the well-known skyrmions. Furthermore, we derive a
generalized Skyrme action from the Yang-Mills action of QCD, which we propose
to be an effective action of QCD in the infra-red limit. We discuss the
physical implications of our results.Comment: 4 pages. Phys. Rev. Lett. in pres
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