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On the stability of Hopfions in the two-component Ginzburg-Landau model | | Juha Jäykkä
; Jarmo Hietarinta
; Petri Salo
; | | Date: |
18 Aug 2006 | | Subject: | Superconductivity | | Abstract: | We study the stability of Hopfions embedded in the Ginzburg-Landau 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 model, which is known to have topologically stable configurations with a given Hopf charge. The Ginzburg-Landau model, however, contains extra fields and this can in principle change the fate of topologically non-trivial configurations. We investigate the stability of Hopfions in this model both analytically (scaling) and numerically (first order dissipative dynamics). A number of initial states with different Hopf charges are studied, and we also consider potentials with different singularities. | | Source: | arXiv, cond-mat/0608424 | | Services: | Forum | Review | PDF | Favorites | |
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