Knots in Condensed Matters

Details Knots in Condensed Matters Knots in Condensed Matters

2001-12-18

arxiv.org/abs/cond-mat/0112325v6

Int.J.Pure Appl.Phys. 1 (2005) 246

Physics

Condensed Matter

9 pages, 4 figures

Scientific paper

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 $^{87}{\rm Rb}$ atoms and in two-gap superconductor of $MgB_2$.

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