Magnetic Anisotropies and Skyrmion Lattice Related to Magnetic Quadrupole Interactions of the RKKY Mechanism in Frustrated Spin-Trimer System Gd${}_3$Ru${}_4$Al${}_{12}$ with a Breathing Kagome Structure

Abstract

The origin of the magnetic quadrupole (MQ) interactions in Gd${}_3$Ru${}_4$Al${}_{12}$ which is known as a frustrated spin system and as a host material of skyrmion with a sentrosymmetric crystal structure are discussed. The MQ interactions between ferromagnetic (FM) spin trimers with imperfect FM directivity are deduced from synthesis of dipole Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions. The Hamiltonian which includes both the MQ interactions and dipole interactions is proposed, and magnetic anisotropies, magnetic phase transitions and contribution of the MQ interactions to stabilize the skyrmion lattice (SkL) are discussed based on this Hamiltonian. Degrees of MQ freedom carried by the trimers contribute to stabilizing SkL which appears at finite temperatures.

arXiv comment25 pages, 28 figures

References in corpus (16)

• Skyrmion Lattice in a Chiral Magnet
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Skyrmion phase and competing magnetic orders on a breathing kagome lattice
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• The skyrmion lattice phase in three dimensional chiral magnets from Monte Carlo simulations
• Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
• Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• 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
• Zoology of multiple-Q spin textures in a centrosymmetric tetragonal magnet with itinerant electrons
• Magnetic Interactions of the Centrosymmetric Skyrmion Material Gd2PdSi3
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Helical Ordering of Spin Trimers in a Distorted Kagome Lattice of Gd${}_3$Ru${}_4$Al${}_{12}$ Studied by Resonant X-ray Diffraction
• Magnetic Phases of Frustrated Ferromagnetic Spin-Trimer System Gd_3_Ru_4_Al_12_ With a Distorted Kagome Lattice Structure

Cited by in corpus (1)

• Skyrmion generation via Laguerre-Gaussian beam irradiation in frustrated magnets