CP${}^2$ Skyrmions and Skyrmion Crystals in Realistic Quantum Magnets

Abstract

Magnetic skyrmions are nanoscale topological textures that have been recently observed in different families of quantum magnets. These textures are known as CP${}^1$ skyrmions because the target manifold of the magnetization field is the 2D sphere $S^2\cong$ CP${}^1$. Here we report the emergence of magnetic CP${}^2$ skyrmions in realistic spin-$1$ models. Unlike CP${}^1$ skyrmions, CP${}^2$ skyrmions can also arise as metastable textures of quantum paramagnets, opening a new road to discover emergent topological solitons in non-magnetic materials. The quantum phase diagram of the spin-$1$ models also includes magnetic field-induced CP${}^2$ skyrmion crystals that can be detected with regular momentum- (diffraction) and real-space (Lorentz transmission electron microscopy) experimental techniques.

main text: 8 pages, 4 figures. Supplemental Info: 6 pages, 3 figures

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Cited by in corpus (13)

• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Coreless vortices as direct signature of chiral $d$-wave superconductivity
• Lattice-commensurate skyrmion texture in a centrosymmetric breathing kagome magnet
• Material-based analysis of spin-orbital Mott insulators
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Kernel Polynomial Method for Linear Spin Wave Theory
• 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
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Dynamics of Quantum Chiral Solitons
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets