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.

12 pages, 9 figures

References in corpus (10)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Physical foundations and basic properties of magnetic skyrmions
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• High-field depinned phase and planar Hall effect in skyrmion-host Gd${}_2$PdSi${}_3$
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets

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
• Magnetic Interactions of the Centrosymmetric Skyrmion Material Gd2PdSi3
• Helicity locking of square skyrmion crystal in a centrosymmetric lattice system without vertical mirror symmetry
• Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states in the frustrated triangular lattice
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Multifarious skyrmion phases on a trilayer triangular lattice
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Ferroaxial moment induced by vortex spin texture
• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Dynamical susceptibility of Skyrmion crystal
• Engineering a skyrmion crystal in ferromagnetic/antiferromagnetic bilayers free from the DM interaction
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Four-Spin Interactions as a Route to Multiple-Q Topological Magnetic Order
• Thermodynamic theory of square skyrmion lattice in tetragonal frustrated antiferromagnets
• Topological transition in spectrum of skyrmion crystal with uniaxial anisotropy
• Square skyrmion lattice in multiorbital $f$-electron systems
• Radial Stabilization of Magnetic Skyrmions Under Strong External Magnetic Field
• 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