Spin Current as a Probe of the 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 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 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 Z_{2}-vortex topological transition, which has remained elusive in experiments.