$\mathbb{C}P^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction

We study $\mathbb{C}P^2$ Skyrmion crystals in the ferromagnetic SU(3) Heisenberg model with a generalization of the Dzyaloshinskii-Moriya interaction and Zeeman term as a stabilizing mechanism. The model possesses two different types of Skyrmion crystal with Skyrmions that can be interpreted as bound states of two half-Skyrmions or four quarter-Skyrmions.Comment: REVTeX: 6 pages, 4 figure