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 (7)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Unconventional Dynamics in Triangular Heisenberg Antiferromagnet NaCrO2
• Possible ferro-spin nematic order in NiGa2S4
• Coherent Behavior and Nonmagnetic Impurity Effects of the Spin Disordered State in NiGa${}_2$S${}_4$
• Monte Carlo Simulation of the Heisenberg Antiferromagnet on a Triangular Lattice: Topological Excitations
• Low-energy properties of two-dimensional quantum triangular antiferromagnets: Non-perturbative renormalization group approach

Cited by in corpus (33)

• 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
• Z_2-vortex ordering of the triangular-lattice Heisenberg antiferromagnet
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Deformed triangular lattice antiferromagnets in a magnetic field: role of spatial anisotropy and Dzyaloshinskii-Moriya interactions
• Incommensurate short-range order in the S=1 triangular antiferromagnet NiGa2S4
• 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
• 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
• Possibility of S=1 spin liquids with fermionic spinons on triangular lattices
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• High Field ESR in the Two-Dimensional Triangular Lattice Antiferromagnet NiGa2S4
• Semi-classical simulation of spin-1 magnets
• Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$
• High Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa2S4
• Z2-vortex order of frustrated Heisenberg antiferromagnets in two dimensions
• First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
• Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa2S4 and NiGa2S4
• 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
• Universal Berezinskii-Kosterlitz-Thouless dynamic scaling in the intermediate timerange in frustrated Heisenberg antiferromagnets on triangular lattice
• 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
• Zero-temperature Monte Carlo study of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Influence of the biquadratic exchange interaction in the classical ground state magnetic response of the antiferromagnetic icosahedron
• Possibility of a Topological Phase Transition in Two-dimensional $R{P}^3$ Model