Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets

TL;DR

This paper develops a mean-field theoretical model to describe the high-temperature phase diagram of frustrated hexagonal antiferromagnets, predicting the stabilization of a skyrmion lattice due to interplay of various magnetic interactions.

Contribution

It introduces a simple mean-field approach that captures the formation of skyrmion lattices in frustrated antiferromagnets on hexagonal lattices, with analytical phase boundary expressions.

Findings

Skyrmion lattice stabilized in certain phase diagram regions.

Analytical expressions for phase boundaries derived.

Model applicable to experimental data for Gd$_2$PdSi$_3$.

Abstract

Simple mean-field approach for frustrated antiferromagnets on hexagonal lattices, aimed to describe the high-temperature part of the temperature-magnetic field phase diagram, is proposed. It is shown, that an interplay between modulation vector symmetry, Zeeman energy and magneto-dipolar interaction leads to stabilization of the triple-$Q$ skyrmion lattice in a certain region of the phase diagram. Corresponding analytical expressions for phase boundaries are derived. It is argued that the developed theory can be applied for the description of the high-temperature part of the phase diagram observed experimentally for Gd$_2$PdSi$_3$ compound.