On the Behaviour and Stability of Superconducting Currents

Abstract

We present analytic and numerical results for the evolution of currents on superconducting strings in the classical $U(1)\times U(1)$ model. We derive an energy functional for the currents and charges on these strings, establishing rigorously that minima should exist in this model for loops of finite size (vortons) if both charge and current are present on the worldsheet. We then study the stability of the currents on these strings, and we find an analytic criterion for the onset of instability (in the neutral limit). This limit specifies a lower maximal current than previous heuristic estimates. We conclude with a discussion of the evolution of loops towards their final vorton state in the model under consideration.

18 pages, 6 figures. To be submitted to Nuclear Physics B

Cited by in corpus (27)

• Vorton Existence and Stability
• Vortex rings in ferromagnets
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Vorton construction and dynamics
• Vortex Rings in two Component Bose-Einstein Condensates
• Drum vortons in high density QCD
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Kinky Vortons
• Formation and evolution of kinky vortons
• A detailed study of the stability of vortons
• Coupled currents in cosmic strings
• Domain wall solutions with Abelian gauge fields
• Stability and the equation of state for kinky vortons
• Cosmological evolution of Witten superconducting string networks
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Gravitating vortons as ring solitons in general relativity
• Instabilities of Twisted Strings
• Quantum Stabilization of a Closed Nielsen-Olesen String
• Pinching instabilities in superconducting strings
• Analytic Baby Skyrmions at Finite Density
• Stability of superconducting strings coupled to cosmic strings
• On axially symmetrical solitons in Abelian-Higgs models
• Compact Q-balls and Q-shells in a multi-component $\mathbb{C}{P}^N$ model
• Electron shielding of vortons in high-density quark matter
• On vortices and rings in extended Abelian models
• Vortons with Abelian and non-Abelian currents and their stability
• Complete Classification of Domain Wall Solutions in the ${\mathbb{Z}}_2$-symmetric 2HDM