Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet

Abstract

Dynamical properties of the classical Heisenberg antiferromagnet on the triangular lattice are investigated by means of a spin-dynamics simulation and an analytical calculation. While the model was suggested to exhibit a topological transition driven by the Z_2-vortex binding-unbinding, weakness of the associated thermodynamic singularity has made it difficult to observe the evidence of the Z_2 vortex experimentally so far, only some indirect support. Here, we show that the signature of the Z_2-vortex excitation and the vortex-induced topological transition can be captured from the dynamical spin correlations. In particular, the dynamical spin structure factor exhibits a characteristic central peak around the Z_2-vortex transition, and this central peak will be a fingerprint of the Z_2-vortex excitation.

7 pages, 6 figures

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• Development of spin correlations in the geometrically frustrated triangular-lattice Heisenberg antiferromagnet CuCrO2
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• First order transition induced by topological defects in the O(3) principal chiral model
• Observation of topological $Z_2$ vortex fluctuations in the frustrated Heisenberg magnet NaCrO${}_2$
• Tensor Network Renormalization Study on the Crossover in Classical Heisenberg and $\mathrm{R}{\mathrm{P}}^2$ Models in Two Dimensions
• Influence of Mg, Ag and Al substitutions on the magnetic excitations in the triangular-lattice antiferromagnet CuCrO2
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Photoinduced 120-degree spin order in the Kondo-lattice model on a triangular lattice
• Spin dynamics simulation of the $Z_2$-vortex fluctuations
• Unusual spin dynamics in the van der Waals antiferromagnet FeGa2S4
• Possibility of a Topological Phase Transition in Two-dimensional $R{P}^3$ Model