Supercurrent coupling destabilizes knot solitons

@article{Speight2011SupercurrentCD,
  title={Supercurrent coupling destabilizes knot solitons},
  author={J. M. Speight and Juha Jaykka},
  journal={Physical Review D},
  year={2011},
  volume={84},
  pages={125035}
}
In an influential paper of 2002, Babaev, Faddeev and Niemi conjectured that two-component Ginzburg-Landau (TCGL) theory in three dimensions should support knot solitons, where the projective equivalence class of the pair of complex condensate fields [psi_1,psi_2]:R^3 -> CP^1 has non-zero Hopf degree. The conjecture was motivated by a certain truncation of the TCGL model which reduced it to the Faddeev-Skyrme model, long known to support knot solitons. Physically, the truncation amounts to… 

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