Demonstration of $\mathbb{C}P^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model

TL;DR

This paper demonstrates the existence of stable $ ext{CP}^2$ skyrmions in three-band $s+is$ superconductors through self-consistent solutions of a microscopic Bogoliubov-de Gennes model, revealing their magnetic signatures.

Contribution

It provides the first microscopic demonstration of $ ext{CP}^2$ skyrmions in three-band superconductors using a self-consistent Bogoliubov-de Gennes approach.

Findings

Stable $ ext{CP}^2$ skyrmions exist in three-band $s+is$ superconductors.

Microscopic calculations reveal magnetic signatures of these skyrmions.

Local density of states footprints associated with $ ext{CP}^2$ skyrmions are identified.

Abstract

Topological defects, such as magnetic-flux-carrying quantum vortices determine the magnetic response of superconductors and hence are of fundamental importance. Here, we show that stable $\mathbb{C}P^2$ skyrmions exist in three-band $s+\rm{i} s$ superconductors as fully self-consistent solutions to a microscopic Bogoluibov-de Gennes model. This allows us to calculate microscopically the magnetic signatures of $\mathbb{C}P^2$ skyrmions and their footprint in the local density of states.