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Title: Knot solitons in a modified Ginzburg-Landau model

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.

Authors:
;  [1]
  1. School of Mathematics, University of Leeds, LS2 9JT (United Kingdom)
Publication Date:
OSTI Identifier:
21502638
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.83.105015; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FADDEEV EQUATIONS; GINZBURG-LANDAU THEORY; MATHEMATICAL SOLUTIONS; SIMULATION; SKYRME POTENTIAL; SOLITONS; EQUATIONS; NUCLEON-NUCLEON POTENTIAL; POTENTIALS; QUASI PARTICLES

Citation Formats

Jaeykkae, Juha, Palmu, Joonatan, and Department of Physics and Astronomy, University of Turku, FI-20014 Turku. Knot solitons in a modified Ginzburg-Landau model. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.105015.
Jaeykkae, Juha, Palmu, Joonatan, & Department of Physics and Astronomy, University of Turku, FI-20014 Turku. Knot solitons in a modified Ginzburg-Landau model. United States. https://doi.org/10.1103/PHYSREVD.83.105015
Jaeykkae, Juha, Palmu, Joonatan, and Department of Physics and Astronomy, University of Turku, FI-20014 Turku. 2011. "Knot solitons in a modified Ginzburg-Landau model". United States. https://doi.org/10.1103/PHYSREVD.83.105015.
@article{osti_21502638,
title = {Knot solitons in a modified Ginzburg-Landau model},
author = {Jaeykkae, Juha and Palmu, Joonatan and Department of Physics and Astronomy, University of Turku, FI-20014 Turku},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.83.105015},
url = {https://www.osti.gov/biblio/21502638}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 83,
place = {United States},
year = {Sun May 15 00:00:00 EDT 2011},
month = {Sun May 15 00:00:00 EDT 2011}
}