74,273 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
Knots in Condensed Matters
We propose two types of topologically stable knot solitons in condensed
matters, one in two-component Bose-Einstein condensates and one in two-gap
superconductors. We identify the knot in Bose-Einstein condensates as a twisted
vorticity flux ring and the knot in two-gap superconductors as a twisted
magnetic flux ring. In both cases we show that there is a remarkable interplay
between topology and dynamics which transforms the topologcal stability to the
dynamical stability, and vise versa. We discuss how these knots can be
constructed in the spin-1/2 condensate of atoms and in two-gap
superconductor of .Comment: 9 pages, 4 figure
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