Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers

Abstract

We investigate an instability toward a square-lattice formation of magnetic skyrmions in centrosymmetric layered systems. By focusing on a bilayer square-lattice structure with the inversion center at the interlayer bond instead of the atomic site, we numerically examine the stability of the square skyrmion crystal based on an effective spin model with the momentum-resolved interaction in the ground state through the simulated annealing. As a result, we find that a layer-dependent staggered Dzyaloshinskii-Moriya interaction built in the lattice structure becomes the origin of the square skyrmion crystal in an external magnetic field irrespective of the sign of the interlayer exchange interaction. The obtained square skyrmion crystal is constituted of the skyrmion crystals with different helicities in each layer due to the staggered Dzyaloshinskii-Moriya interaction. Furthermore, we show that the interplay between the staggered Dzyaloshinskii-Moriya interaction and the interlayer exchange interaction gives rise to a double-$Q$ state with a uniform component of the scalar chirality in the low-field region. The present results provide another way of stabilizing the square skyrmion crystal in centrosymmetric magnets, which will be useful to explore further exotic topological spin textures.

22 pages, 9 figures; to appear in JPCM. arXiv admin note: text overlap with arXiv:2112.07072

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Cited by in corpus (14)

• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Reentrant multiple-$\mathbf{q}$ magnetic order and a "spin-cholesteric" phase in Sr${}_3$Fe${}_2$O${}_7$
• Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
• 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
• Uniform and Staggered electric axial moment in zigzag chain
• Exploration of metastable A-site-ordered perovskites (Ca,Ba)FeO3-δ by computationally-guided multi-step synthesis
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Anomalous quasielastic scattering contribution in the centrosymmetric multi-$\mathbf{q}$ helimagnet SrFeO${}_3$