Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
| dc.creator | Jäykkä, Juha | |
| dc.creator | Hietarinta, Jarmo | |
| dc.creator | Salo, Petri | |
| dc.date | 2006-08-18 | |
| dc.date | 2007-11-07 | |
| dc.date.accessioned | 2026-07-07T11:42:53Z | |
| dc.date.available | 2026-07-07T11:42:53Z | |
| dc.description | We study the stability of Hopfions embedded in the Ginzburg-Landau (GL) model of two oppositely charged components. It has been shown by Babaev et al. [Phys. Rev. B 65, 100512 (2002)] that this model contains the Faddeev-Skyrme (FS) model, which is known to have topologically stable configurations with a given Hopf charge, the so-called Hopfions. Hopfions are typically formed from a unit-vector field that points to a fixed direction at spatial infinity and locally forms a knot with a soft core. The GL model, however, contains extra fields beyond the unit-vector field of the FS model and this can in principle change the fate of topologically non-trivial configurations. We investigate the stability of Hopfions in the two-component GL model both analytically (scaling) and numerically (first order dissipative dynamics). A number of initial states with different Hopf charges are studied; we also consider various different scalar potentials, including a singular one. In all the cases studied, we find that the Hopfions tend to shrink into a thin loop that is too close to a singular configuration for our numerical methods to investigate. | |
| dc.description | v5: Enhanced figure resolution. v4: Additional numerical simulations, new figures, and some smaller revisions, 9 pages, 2 figures. Submitted to Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608424 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608424 | |
| dc.identifier | Phys.Rev.B77:094509,2008 | |
| dc.identifier | doi:10.1103/PhysRevB.77.094509 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201046 | |
| dc.subject | Superconductivity | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model | |
| dc.type | text |