Fictitious excitations in the classical Heisenberg antiferromagnet on the kagome lattice

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.

10 pages, 15 figures

References in corpus (4)

• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Elastic Lennard-Jones Polymers Meet Clusters -- Differences and Similarities
• Surface effects in the crystallization process of elastic flexible polymers
• Propagation and Ghosts in the Classical Kagome Antiferromagnet

Cited by in corpus (6)

• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Emergent Potts order in the kagomé $J_1-J_3$ Heisenberg model
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet
• Spin waves in the anisotropic fcc kagome antiferromagnet
• Monte Carlo study on low-temperature phase diagrams of the $J_1$-$J_2$ classical $XY$ kagome antiferromagnet