Twisted Superconducting Semilocal Strings

Abstract

A new class of twisted, current carrying, stationary, straight string solutions having finite energy per unit length is constructed numerically in an extended Abelian Higgs model with global SU(2) symmetry. The new solutions correspond to deformations of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by a twist -- a relative coordinate dependent phase between the two Higgs fields. The twist induces a global current flowing through the string, and the deformed solutions bifurcate with the ANO vortices in the limit of vanishing current. For each value of the winding number $n=1,\mathrm{2...}$ (determining the magnetic flux through the plane orthogonal to the string) there are $n$ distinct, two-parametric families of solutions. One of the continuously varying parameters is the twist, or the corresponding current, the other one can be chosen to be the momentum of the string. For fixed values of the momentum and twist, the $n$ distinct solutions have different energies and can be viewed as a lowest energy ``fundamental'' string and its $n-1$ ``excitations'' characterized by different values of their ``polarization''. The latter is defined as the ratio of the angular momentum of the vortex and its momentum. In their rest frame the twisted vortices have lower energy than the embedded ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).

39 pages, 20 figures

References in corpus (15)

• Cosmic strings
• Semilocal and Electroweak Strings
• Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent systems
• Semilocal Topological Defects
• Detailed Stability Analysis of Electroweak Strings
• Semilocal strings and monopoles
• Semilocal Defects
• Vortex sub-lattice melting in a two-component superconductor
• Skyrmions and Semilocal Strings in Cosmology
• Cinderella Strings
• Instabilities of Electroweak Strings
• Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole
• Superconducting vortices in Semilocal Models
• Stabilizing textures with magnetic fields
• Twisted Vortices in a Gauge Field Theory

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• Stability Analysis of The Twisted Superconducting Semilocal Strings
• An analytical approximation scheme to two point boundary value problems of ordinary differential equations
• One loop corrections to the mass of self-dual semi-local planar topological solitons
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Vortices in the extended Skyrme-Faddeev model
• Vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications
• Pipelike current-carrying vortices in two-component condensates
• Stabilisation of semilocal strings by dark scalar condensates
• Vortices with scalar condensates in two-component Ginzburg-Landau systems
• Can type II Semi-local cosmic strings form?
• Instabilities of Twisted Strings
• Vortex matter in $U(1)\times U(1)\times {\mathbb{Z}}_2$ phase-separated superconducting condensates
• Superconducting and Spinning Non-Abelian Flux Tubes
• Intercommutation of Semilocal Strings and Skyrmions
• Stability Analysis of Superconducting Electroweak Vortices
• Radial excitations of current-carrying vortices
• On vortices and rings in extended Abelian models
• Non-Abelian Vortices with a Twist
• Twisted semilocal strings in the MSSM