Multiple Half-Quantum Vortices in Rotating Superfluid $^3$He

TL;DR

This paper investigates the behavior of half-quantum and ordinary vortices in rotating superfluid helium-3 under magnetic fields, revealing how vortex configurations change with angular velocity and magnetic field, and providing a phase diagram for these states.

Contribution

It introduces a detailed analysis of half-quantum vortices in superfluid $^3$He, including their interpolation between singular vortex states and the phase diagram in parameter space.

Findings

Half-quantum vortices interpolate between different singular vortex states.

A phase diagram of vortex configurations is provided for specific parameters.

The study enhances understanding of vortex behavior in superfluid helium-3.

Abstract

Half-quantum votices and ordinary vortices in a rotating thin film superfluid $^3$He under a strong magnetic field are considered. It is shown that $2n+1$ half-quantum vortices interpolates between $n$ singular vortices and $n+1$ singular vortices as the angular velocity is changed. The phase diagram of the vortex configurations in the angular velocity-magnetic field space is obtained for a paramagnon parameter $\delta=0.05$.