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 (10)

• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice 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
• Short-range magnetic ordering process for the triangular lattice compound NiGa2S4: a positive muon spin rotation and relaxation study
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4
• 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
• Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$
• Spin dynamics in Heisenberg triangular antiferromagnets: A muSR study of LiCrO2