Dynamics influencing ordering of a s=3 Ising antiferromagnetic on a triangular lattice

TL;DR

This study investigates how different dynamics influence the ordering behavior of s=3 Ising antiferromagnetic spins on a triangular lattice, revealing that Kawasaki dynamics promote robust ordering and provide insights into liquid crystal side chain behavior.

Contribution

It demonstrates that Kawasaki dynamics inhibit misfit cluster formation, leading to stable ordering in a high-spin triangular lattice Ising model, which was not previously established.

Findings

Kawasaki dynamics promote stable sublattice ordering.

Misfit cluster formation is suppressed by Kawasaki dynamics.

The thermal behavior aligns with observed side chain ordering in liquid crystals.

Abstract

Antiferromagnetically coupled Ising s =3 spins on a triangular lattice are very close to ordering at zero temperature. The low temperature behaviour of a triangular lattice with Ising spins s =3 has been simulated by using both Glauber and Kawasaki dynamics. The formation of misfit clusters, which are essential for destabilizing the ordered state, are inhibited by the use of Kawasaki dynamics. The sublattice susceptibilities and the sublattice order parameter are found to depend qualitatively on the dynamics used so that robust ordering occurs when Kawasaki dynamics are employed. The thermal behaviour that is found for the spin model with Kawasaki dynamics gives insight into the observed ordering of side chains seen in a tetraphilic liquid crystal.