Knot solitons in modified Ginzburg-Landau model
arXiv:1102.2259 · doi:10.1103/PhysRevD.83.105015
Abstract
We study a modified version of the Ginzburg-Landau model suggested by Ward and show that Hopfions exist in it as stable static solutions, for values of the Hopf invariant up to at least 7. We also find that their properties closely follow those of their counterparts in the Faddeev-Skyrme model. Finally, we lend support to Babaev's conjecture that longer core lengths yield more stable solitons and propose a possible mechanism for constructing Hopfions in pure Ginzburg-Landau model.
arXiv commentversion 3: published version; version 2: added a reference, clarified a couple of sentences 6 pages, 4 figures
References in corpus (18)
- Knots and Particles
- Mayavi: a package for 3D visualization of scientific data
- To be or knot to be?
- Hidden symmetry and knot solitons in a charged two-condensate Bose system
- Stationary ring solitons in field theory - knots and vortons
- Topological surface states in three-dimensional magnetic insulators
- Solitons, Links and Knots
- Faddeev-Hopf knots: Dynamics of linked un-knots
- Semilocal Topological Defects
- Knots in the Skyrme-Faddeev model
- Non-Meissner electrodynamics and knotted solitons in two-component superconductors
- Relaxation of twisted vortices in the Faddeev-Skyrme model
- Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
- Supercurrent coupling in the Faddeev-Skyrme model
- Stabilizing textures with magnetic fields
- Hopf solitons and Hopf Q-balls on S^3
- Static Hopfions in the extended Skyrme-Faddeev model
- Stability of topological solitons in modified two-component Ginzburg-Landau model