CP2 skyrmion crystals in an SU(3) magnet with a generalized Dzyaloshinskii-Moriya interaction

Abstract

We study $\mathbb{C}{P}^{2}$ skyrmion crystals in the ferromagnetic $\mathrm{SU}(3)$ Heisenberg model with a generalization of the Dzyaloshinskii-Moriya interaction and the Zeeman term. The model possesses two different types of skyrmion crystals with unit skyrmions that can be interpreted as bound states of two half-skyrmions or four quarter-skyrmions. Our study on $\mathbb{C}{P}^{2}$ skyrmion crystals opens up the possibility for useful future applications since $\mathbb{C}{P}^{2}$ skyrmions have more degrees of freedom than the usual $\mathbb{C}{P}^{1}$ (magnetic) skyrmions.