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

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

References in corpus (55)

• Skyrmion Lattice in a Chiral Magnet
• Artificial gauge potentials for neutral atoms
• "Deconfined" quantum critical points
• Light-induced gauge fields for ultracold atoms
• Spinor Bose-Einstein condensates
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Spin-lattice coupling in frustrated antiferromagnets
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Skyrmion phase and competing magnetic orders on a breathing kagome lattice
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Multisolitons in a Two-dimensional Skyrme Model
• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
• Generalized Rashba spin-orbit coupling for cold atoms
• Algebraic Approach to Interacting Quantum Systems
• Entropic Measure for Localized Energy Configurations: Kinks, Bounces, and Bubbles
• Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2
• Topological solitons in three-band superconductors with broken time reversal symmetry
• Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Chiral CP^2 skyrmions in three-band superconductors
• Effective field theory for S=1 quantum nematic
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Information-Entropic Signature of the Critical Point
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• Configurational Entropy for Skyrmion-like Magnetic Structures
• CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices
• Pairing of Solitons in Two-Dimensional S=1 Magnets
• Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices
• Semi-classical simulation of spin-1 magnets
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Configurational entropy of skyrmions and half-skyrmions in planar magnetic elements
• Flag manifold sigma models: spin chains and integrable theories
• A non-abelian spin-liquid in a spin-1 quantum magnet
• Berry phase induced dimerization in one-dimensional quadrupolar systems
• Isolated Skyrmions in the $C{P}^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Color Magnetism in Non-Abelian Vortex Matter
• Spin-orbit coupling and electronic charge effects in Mott insulators
• Deconfined Quantum Criticality and Conformal Phase Transition in Two-Dimensional Antiferromagnets
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Topological Quantum Liquids with Quaternion Non-Abelian Statistics
• $SU(3)$ Knot Solitons: Hopfions in the $F_2$ Skyrme-Faddeev-Niemi model
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• BPS Sphalerons in the $F_2$ Non-Linear Sigma Model
• Theory of Impurity Effects on the Spin Nematic State
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice

Cited by in corpus (14)

• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• 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