Spin dynamics simulation of the $Z_2$-vortex fluctuations

TL;DR

This paper uses spin-dynamics simulations to investigate $Z_2$-vortex fluctuations in a triangular-lattice Heisenberg antiferromagnet, successfully reproducing experimental neutron scattering results and revealing a sharp central peak linked to vortex dynamics.

Contribution

It extends spin-dynamics simulations to observe $Z_2$-vortex fluctuations, providing a theoretical explanation for experimental neutron scattering data.

Findings

Identification of a sharp central peak in energy width (~0.001J) due to $Z_2$-vortex fluctuations

Simulation results are consistent with recent neutron scattering experiments

Demonstration of vortex-related features in spin dynamics of triangular-lattice antiferromagnets

Abstract

Motivated by the recent quasi-elastic neutron scattering experiment, we extend the spin-dynamics simulation on the triangular-lattice Heisenberg antiferromagnet, to observe a sharp central peak of its energy width $\sim 0.001J$ ($J$ the exchange coupling) of the $Z_2$-vortex origin, consistently with the experiment.