Structure of a single-quantum vortex in $^3$He-A

TL;DR

This paper presents GPU-accelerated large-scale simulations of a single-quantum vortex in superfluid $^3$He-A, revealing detailed vortex structure, energy, and flow profiles within the Ginzburg-Landau framework.

Contribution

It provides the first comprehensive numerical analysis of the vortex structure, including core sizes and energy, supporting the eccentric fractional skyrmion model.

Findings

Supports the eccentric fractional skyrmion vortex structure

Provides numerical values for vortex energy and core sizes

Details the asymmetric flow profile of the vortex

Abstract

We have performed numerical calculations of the structure of the single-quantum vortex in superfluid $^3$He-A. The GPU-accelerated large-scale numerical simulation is performed in the Ginzburg-Landau model and resolves length scales of both coherence-length-sized hard core and dipolar-length-sized soft core of the vortex. The calculations support previously suggested qualitative structure of the vortex, recently named as eccentric fractional skyrmion, and provide numerical values for the vortex energy, sizes and locations of the hard and soft cores and highly-asymmetric flow profile of the vortex.