2016/08/11 by Minoru Eto, Muneto Nitta, Kohei Sakurai
Engineering · Mathematics · Physics and Astronomy · #Abelian group #Combinatorics #Geometry #Higgs boson #Higgs field #Mathematical physics #Mathematics #Mechanics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Scalar (mathematics) #Scalar field #Superconducting Materials and Applications #Superconductivity #Superconductivity in MgB2 and Alloys #Symmetry breaking #Vortex #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep10(2016)048
published as JHEP 1610:048,2016 · 30 pages, 12 figures
arxiv created 2016/08/11 · openalex publication_date 2016/10/01 · arxiv updated 2016/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Semilocal strings are vortices in the extended Abelian-Higgs model with two complex Higgs scalar fields among which a global SU(2) symmetry acts. They are known to be stable (unstable against expansion) in type-I (II) superconductors, in which gauge field is heavier (lighter) than the Higgs scalar field. In this paper, we find that vortices can be stabilized in the whole parameter region including the type-II region by adding a potential term breaking the SU(2) symmetry. We construct numerical solutions in various parameters and determine the vortex phase diagram consisting of six phases. In two phases, a vortex is polarized, that is, split into two half-quantized vortices with a certain distance, to form a vortex molecule, while in the rests a vortex is identical to the conventional Abrikosov-Nielsen-Olesen vortex.