Fermi-surface origin of skyrmion lattices in centrosymmetric rare-earth intermetallics

Abstract

We show from first-principles that barrel-shaped structures within the Fermi surface of the centrosymmetric intermetallic compounds GdRu${}_2$Si${}_2$ and Gd${}_2$PdSi${}_3$ give rise to Fermi surface nesting, which determines the strength and sign of quasi-two-dimensional Ruderman-Kittel-Kasuya-Yosida pairwise exchange interactions between the Gd moments. This is the principal mechanism leading to their helical single-$q$ spin-spiral ground states, providing transition temperatures and magnetic periods in good agreement with experiment. Using atomistic spin-dynamic simulations, we draw a direct line between the subtleties of the three-dimensional Fermi surface topology and the stabilization of a square skyrmion lattice in GdRu${}_2$Si${}_2$ at applied magnetic fields as observed in experiment.

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Cited by in corpus (25)

• Multi-step topological transitions among meron and skyrmion crystals in a centrosymmetric magnet
• Magnetic Interactions of the Centrosymmetric Skyrmion Material Gd2PdSi3
• The Double-$Q$ Ground State with Topological Charge Stripes in the Skyrmion Candidate ${\text{GdRu}}_{\text{2}}{\text{Si}}_{\text{2}}$
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Quantum oscillations in a centrosymmetric skyrmion-hosting magnet GdRu2Si2
• Insight into the electronic structure of the centrosymmetric skyrmion magnet GdRu${}_2$Si${}_2$
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Ab initio exploration of short-pitch skyrmion materials: Role of orbital frustration
• Pseudogap and Fermi arc induced by Fermi surface nesting in a centrosymmetric skyrmion magnet
• Stability of Hopfions in Bulk Magnets with Competing Exchange Interactions
• Anisotropic skyrmion and multi-$q$ spin dynamics in centrosymmetric Gd${}_2$PdSi${}_3$
• Skyrmion and vortex crystals in the Hubbard model
• Fermi Surface Nesting Driving the RKKY Interaction in the Centrosymmetric Skyrmion Magnet Gd2PdSi3
• Field-orientation-dependent magnetic phases in GdRu${}_2$Si${}_2$ probed with muon-spin spectroscopy
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• A Magnon Band Analysis of GdRu2Si2 in the Field-Polarized State
• Triangular lattice magnet GdGa${}_2$ with short-period spin cycloids and possible skyrmion phases
• Uniaxial Pressure Effects, Phase Diagram, and Tricritical Point in the Centrosymmetric Skyrmion Lattice Magnet GdRu${}_2$Si${}_2$
• Origin of multiple skyrmion phases in EuAl4
• Unveiling Mysteries of GdRu${}_2$Si${}_2$: 3D Magnetism in a layered like Magnet
• I-centered vs F-centered orthorhombic symmetry and negative thermal expansion of the charge density wave of EuAl2Ga2
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Image of helical local moment magnetic order in the STM spectrum
• Thermodynamic theory of square skyrmion lattice in tetragonal frustrated antiferromagnets
• Photoemission insights into lanthanide-based crystals