Dual neutral variables and knot solitons in triplet superconductors
Abstract
In this paper we derive a dual presentation of free energy functional for spin-triplet superconductors in terms of gauge-invariant variables. The resulting equivalent model in ferromagnetic phase has a form of a version of the Faddeev model. This allows one in particular to conclude that spin-triplet superconductors allow formation of stable finite-length closed vortices (the knotted solitons).
Cite
@article{arxiv.cond-mat/0106360,
title = {Dual neutral variables and knot solitons in triplet superconductors},
author = {Egor Babaev},
journal= {arXiv preprint arXiv:cond-mat/0106360},
year = {2011}
}
Comments
Replaced with version published in PRL (added a discussion of the effect of the coupling of the fields {\vec s} and {\vec C} on knot stability). Latest updates of the paper and miscellaneous links related to knotted solitons are also available at the homepage of the author http://www.teorfys.uu.se/PEOPLE/egor/ . Animations of knotted solitons by Hietarinta and Salo are available at http://users.utu.fi/h/hietarin/knots/c45_p2.mpg