A computational mean-field model of interacting non-collinear classical spins

TL;DR

This paper introduces a lattice site-resolved mean-field model for classical spins that efficiently simulates complex magnetic phase transitions, serving as a useful pre-screening tool before more computationally intensive methods.

Contribution

It presents a novel mean-field approach capable of modeling complex magnetic domain transitions, including helices and skyrmions, with improved efficiency.

Findings

Efficient simulation of phase transitions in complex magnetic systems.

Ability to pre-screen phase diagrams of complex magnets.

Complementary to Monte-Carlo methods for qualitative analysis.

Abstract

Mean-field approximation is often used to explore the qualitative behaviour of phase transitions in classical spin models before employing computationally costly methods such as the Monte-Carlo techniques. We implement a 'lattice site-resolved' mean-field spin model that allows efficient simulation of phase transitions between phases of complex magnetic domains, such as magnetic helices, skyrmions, or states with canted spins. The framework is useful as a complementary approach for pre-screening the qualitative features of phase diagrams in complex magnets.