Pipelike current-carrying vortices in two-component condensates

Abstract

We study straight vortices with global longitudinal currents in the Bogomol'ny limit of the Abelian Higgs model with two charged scalar fields. The model possesses global SU(2) and local electromagnetic U(1) symmetries spontaneously broken to global U(1) group, and corresponds to a semilocal limit of the standard electroweak model. We show that the contribution of the global SU(2) current to the vortex energy is proportional to the total current squared. Locally, these vortices carry also longitudinal electromagnetic currents, while the total electromagnetic current flowing through a transverse section of the vortex is always zero. The vortices with high winding numbers have, in general, a nested pipelike structure. The magnetic field of the vortex is concentrated at a certain distance from the geometric center of the vortex, thus resembling a "pipe." This magnetic pipe is layered between two electrically charged pipes that carry longitudinal electric currents in opposite directions.

11 pages, 14 figures, RevTeX 4.1; v2: references added, minor changes, Figure 8 (a visualization of the nested structure of the pipelike vortex) is replaced, published version

References in corpus (5)

• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Type-1.5 Superconductors
• Stationary ring solitons in field theory - knots and vortons
• Twisted Superconducting Semilocal Strings
• Superconducting Electroweak Strings

Cited by in corpus (11)

• Two-band superconductors: Hidden criticality deep in the superconducting state
• Two-band superconductors: Extended Ginzburg-Landau formalism by a systematic expansion in small deviation from the critical temperature
• Finite Density Two Color Chiral Perturbation Theory Revisited
• Planar ringlike vortices
• Vortex chains due to nonpairwise interactions and field-induced phase transitions between states with different broken symmetry in superconductors with competing order parameters
• New color-magnetic defects in dense quark matter
• Vortices in the extended Skyrme-Faddeev model
• Vortex matter in $U(1)\times U(1)\times {\mathbb{Z}}_2$ phase-separated superconducting condensates
• Vortices in a generalized Maxwell-Higgs model with visible and hidden sectors
• Exponentially generalized vortex
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter