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

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 $s+\mathrm{i}\mathrm{s}$ 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.

References updated

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• Constrained weak-coupling superconductivity in multiband superconductors
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Microscopic solutions for vortex clustering in two-band type-1.5 superconductors
• Microscopic properties of fractional vortices and domain walls in three-band $s+is$ superconductors
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States