$\mathbb{C}{P}^2$ 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 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.

REVTeX: 6 pages, 4 figures; V2: references, comments and supplemental material added, typos corrected

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• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Domain Wall Skyrmions in Chiral Magnets
• Chiral Magnets from String Theory
• Demonstration of $\mathbb{C}{P}^2$ skyrmions in three-band superconductors by self-consistent solutions to a Bogoliubov-de Gennes model
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Gravitational wave analogues in spin nematics and cold atoms
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• Magnetic Skyrmions: from lumps to supercompactons
• Higher-dimensional magnetic Skyrmions
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets