Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice

Abstract

The ordering of the classical Heisenberg antiferromagnet on the triangular lattice with the the bilinear-biquadratic interaction is studied by Monte Carlo simulations. It is shown that the model exhibits a topological phase transition at a finite-temperature driven by topologically stable vortices, while the spin correlation length remains finite even at and below the transition point. The relevant vortices could be of three different types, depending on the value of the biquadratic coupling. Implications to recent experiments on the triangular antiferromagnet NiGa${}_2$S${}_4$ is discussed.

References in corpus (3)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Unconventional Dynamics in Triangular Heisenberg Antiferromagnet NaCrO2
• Possible ferro-spin nematic order in NiGa2S4

Cited by in corpus (21)

• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Microscopic Model Calculations for the Magnetization Process of Layered Triangular-Lattice Quantum Antiferromagnets
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4
• Short-range magnetic ordering process for the triangular lattice compound NiGa2S4: a positive muon spin rotation and relaxation study
• Interplay of anisotropy and frustration: triple transitions in a triangular-lattice antiferromagnet
• High Field ESR in the Two-Dimensional Triangular Lattice Antiferromagnet NiGa2S4
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• Semi-classical simulation of spin-1 magnets
• Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Spin dynamics in Heisenberg triangular antiferromagnets: A muSR study of LiCrO2
• Gravitational wave analogues in spin nematics and cold atoms
• Observation of topological $Z_2$ vortex fluctuations in the frustrated Heisenberg magnet NaCrO${}_2$
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Degeneracy and ordering of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Possibility of a Topological Phase Transition in Two-dimensional $R{P}^3$ Model