Fictitious excitations in the classical Heisenberg antiferromagnet on the kagome lattice

TL;DR

This study uses advanced simulations to explore how coordinate choices affect the detection of propagating excitations in the kagome lattice Heisenberg antiferromagnet at very low temperatures.

Contribution

It reveals the importance of coordinate systems in identifying excitations and demonstrates the impact of coordinate choice on Fourier space analysis.

Findings

Detection of excitations depends on coordinate choice.

Modes are displaced in Fourier space with a global Cartesian system.

Advanced Monte Carlo and spin dynamics simulations were used.

Abstract

Using an advanced Monte Carlo algorithm and high precision spin dynamics simulation, we investigated the dynamical behavior of the Heisenberg antiferromagnet on a kagome lattice at extremely low temperatures. We demonstrate that the detection and correct identification of propagating excitations depends crucially on the choice of coordinates and we show how modes are displaced in Fourier space if a single, global Cartesian coordinate system is chosen.