Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets

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.

arXiv comment12 pages, 9 figures

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Cited by in corpus (25)

• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
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• Ferroaxial moment induced by vortex spin texture
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• Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice
• Topological magnons in a non-coplanar magnetic order on the triangular lattice