Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

TL;DR

This paper investigates new spin vortex solutions in the Abelian-Higgs model with a cholesteric vacuum, revealing their topological properties and numerical characteristics, expanding understanding of vortex structures in such systems.

Contribution

It introduces a new class of global spin vortices with non-trivial angular dependence and analyzes their topological charge and properties within the cholesteric vacuum structure.

Findings

Discovery of a new class of spin vortices with non-zero winding.

Numerical solutions demonstrating the properties of these vortices.

Analysis of their topological charge as  in the cholesteric context.

Abstract

We continue the study of $U(1)$ vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular dependence at spatial infinity, or winding. We show that despite the topological $\mathbb{Z}_2$ behavior of $SO(3)$ windings, the topological charge of the spin vortices is of the $\mathbb{Z}$ type in the cholesteric. We find these solutions numerically and discuss the properties derived from their low energy effective field theory in $1+1$ dimensions.