Hidden symmetry and knot solitons in a charged two-condensate Bose system

Details Hidden symmetry and knot solitons in a charged two-condensate Bose system Hidden symmetry and knot solitons in a charged two-condensate Bose system

2001-06-08

arxiv.org/abs/cond-mat/0106152v3

Phys.Rev.B65:100512,2002

Physics

Condensed Matter

Superconductivity

This version will appear in Phys. Rev. B, added a comment on the case when condensates in two bands do not independently conse

Scientific paper

10.1103/PhysRevB.65.100512

We show that a charged two-condensate Ginzburg-Landau model or equivalently a Gross-Pitaevskii functional for two charged Bose condensates, can be mapped onto a version of the nonlinear O(3) $\sigma$-model. This implies in particular that such a system possesses a hidden O(3) symmetry and allows for the formation of stable knotted solitons. The results, in particular, should be relevant to the superconducting MgB_2.

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