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.

4 pages, 1 figure

References in corpus (4)

• "Deconfined" quantum critical points
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Topological solitons in highly anisotropic two dimensional ferromagnets

Cited by in corpus (8)

• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Semi-classical simulation of spin-1 magnets
• 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
• Gravitational wave analogues in spin nematics and cold atoms
• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets