Superconducting strings in the two-Higgs doublet model

TL;DR

This paper introduces superconducting vortex solutions within the two-Higgs doublet model, analyzing their properties and stability, and exploring potential physical implications of such phenomena in fundamental physics.

Contribution

The study provides the first detailed construction and stability analysis of superconducting strings in the two-Higgs doublet model, including numerical simulations.

Findings

Superconducting vortex solutions exist in the two-Higgs doublet model.

These solutions demonstrate stability in global symmetry scenarios.

Current flows along the vortex strings, indicating superconductivity.

Abstract

We present superconducting vortex solutions in the two-Higgs doublet model which has a gauged $U(1)$ Higgs-family symmetry. We write down an ansatz for the solution and study its basic properties, for the case of both global and gauged symmetries. We demonstrate its prima-facie stability using 3D numerical simulations of a global version of the theory, observing the flow of current along the string. We discuss how generic such a phenomena might be and the possible consequences if such a model is found in nature.