Non-Abrikosov vortices in liquid metallic hydrogen

TL;DR

This paper explores various non-Abrikosov vortex solutions in liquid metallic hydrogen using a two-component Ginzburg-Landau model, revealing new vortex types including neutral vortices with no magnetic field.

Contribution

It introduces three types of non-Abrikosov vortices based on boundary conditions and identifies a novel neutral vortex related to metallic superfluidity.

Findings

Neumann-type vortex has non-vanishing core condensation.

Magnetic flux can be reversed in LMH.

Discovery of a neutral vortex with no magnetic field.

Abstract

We consider non-Abrikosov vortex solutions in liquid metallic hydrogen (LMH) in the framework of two-component Ginzburg-Landau model. We have shown that there are three types of non-Abrikosov vortices depending on chosen boundary conditions at the core of vortices, namely, Neumann (N)-type, Dirichlet (D)-type and Gross-Pitaevskii (GP)-type vortices. The Neumann-type vortex has a non-vanishing condensation at the core, that is different from the ordinary vortex, and the magnetic flux could be reversed as well in LMH. Furthermore, we have obtained a new type of a neutral vortex which has no magnetic field. The presence of such a vortex is related to metallic superfluid state suggested by Babaev.