Vortices carrying an arbitrary fraction of magnetic flux quantum, neutral superfluidity and knotted solitons in two-gap Ginzburg–Landau model
✍ Scribed by Egor Babaev
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 260 KB
- Volume
- 404
- Category
- Article
- ISSN
- 0921-4534
No coin nor oath required. For personal study only.
✦ Synopsis
We show that in two-gap superconductors there exist vortices which carry an arbitrary fraction of magnetic flux quantum and in two dimensions under certain conditions these vortices undergo a BKT transition which marks onset of quasi-long-range order only in a difference of phases of the two order parameters. In the second part of the talk we show that an U ð1Þ Â U ð1Þ Ginzburg-Landau model or a GL model where U ð1Þ Â U ð1Þ symmetry is weakly broken to Uð1Þ is exactly equivalent to a version of the Faddeev's the nonlinear Oð3Þ sigma model. This implies in particular that such a system possesses a hidden Oð3Þ symmetry and besides that allows for the formation of knotted solitons. The second part of the talk is based on a joint work with L.D. Faddeev and A. Niem: Phys. Rev. B 65 (2002) 100512.