Spin current as a probe of the ${\mathbb{Z}}_2$-vortex topological transition in the classical Heisenberg antiferromagnet on the triangular lattice

Abstract

We have theoretically investigated transport properties of the classical Heisenberg antiferromagnet on the triangular lattice in which a binding-unbinding topological transition of ${\mathbb{Z}}_2$ vortices is predicted to occur at a finite temperature $T_v$. It is shown by means of the hybrid Monte-Carlo and spin-dynamics simulations that the longitudinal spin-current conductivity exhibits a divergence at $T_v$, while the thermal conductivity only shows a monotonic temperature dependence with no clear anomaly at $T_v$. The significant enhancement of the spin-current conductivity is found to be due to the rapid growth of the spin-current-relaxation time toward $T_v$, which can be understood as a manifestation of the topological nature of the free ${\mathbb{Z}}_2$ vortex whose lifetime gets longer toward $T_v$. The result suggests that the spin-current measurement is a promising probe to detect the ${\mathbb{Z}}_2$-vortex topological transition which has remained elusive in experiments.

6 pages, 3 figures, Supplemental Material(9 pages, 2 figures)

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Cited by in corpus (12)

• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Observation of topological $Z_2$ vortex fluctuations in the frustrated Heisenberg magnet NaCrO${}_2$
• Photoinduced 120-degree spin order in the Kondo-lattice model on a triangular lattice
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Spontaneous chirality selection and nonreciprocal spin wave in breathing-kagome antiferromagnets at zero field
• The Finite-Temperature Behavior of a Triangular Heisenberg Antiferromagnet
• Unusual spin dynamics in the van der Waals antiferromagnet FeGa2S4
• Incoherent transport in a classical spin liquid
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
• Ginzburg-Landau theory of spin pumping through an antiferromagnetic layer near the Néel temperature
• Diffusionless relaxation of half-skyrmion liquid, hexatic, and crystalline states in a chiral molecular crystal