Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy

Abstract

We report our theoretical results on the emergence of rectangular- and square-shaped magnetic skyrmion crystals on a centrosymmetric square lattice with magnetic anisotropy. By performing the simulated annealing for a frustrated spin model with an easy-axis single-ion anisotropy on a square lattice, we find that a competition of the interactions in momentum space gives rise to the formation of two skyrmion crystals, where the skyrmion cores are aligned in a rectangle- or square-lattice way. Especially, the interactions at the higher harmonic wave vectors play an important role in stabilizing the square/rectangular skyrmion crystals. Our results provide a reference to explore further skyrmion-hosting materials in centrosymmetric tetragonal systems.

6 pages, 3 figures, 1 table, accepted for publication in PRB

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Cited by in corpus (21)

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• Rhombic skyrmion lattice coupled with orthorhombic structural distortion in EuAl${}_4$
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Topological Hall effect induced by classical large-spin background: $su(2)$ path-integral approach
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Magnetic bubble crystal in tetragonal magnets
• Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field
• 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
• Thermodynamic theory of square skyrmion lattice in tetragonal frustrated antiferromagnets
• Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
• Square skyrmion lattice in multiorbital $f$-electron systems
• Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice