Pairing of Solitons in Two-Dimensional S=1 Magnets

Abstract

We discuss the structure of topological solitons in a general non-Heisenberg model of isotropic two-dimensional magnet with spin S=1, in the vicinity of a special point where the model symmetry is enhanced to SU(3). It is shown that upon perturbing the SU(3) symmetry, solitons with odd topological charge become unstable and bind into pairs.

arXiv comment4 pages, 1 figure

References in corpus (9)

• "Deconfined" quantum critical points
• 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
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Effective field theory for S=1 quantum nematic
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
• Topological solitons in highly anisotropic two dimensional ferromagnets
• Scattering of vortex pairs in 2D easy-plane ferromagnets

Cited by in corpus (14)

• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Dynamics and relaxation in spin nematics
• Semi-classical simulation of spin-1 magnets
• Magnetic vortex as a ground state for micron-scale antiferromagnetic samples
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Isolated Skyrmions in the $C{P}^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• CP${}^2$ Skyrmions and Skyrmion Crystals in Realistic Quantum Magnets
• Symmetry breaking in low-dimensional SU(N) antiferromagnets
• Gravitational wave analogues in spin nematics and cold atoms
• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets
• Quantum Interactions of Topological Solitons from Electrodynamics
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets