Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field

Abstract

We investigate the instability toward a skyrmion crystal under an in-plane magnetic field in centrosymmetric tetragonal magnets. By performing the simulated annealing for a spin model on the square lattice, we find that the interplay among the easy-plane two-spin anisotropic interaction, positive biquadratic interaction, and high-harmonic wave-vector interaction plays an important role in stabilizing the skyrmion crystal in the in-plane external magnetic field. The obtained skyrmion crystal consists of a pair of vortex and antivortex with opposite polarization in terms of the out-of-plane spin component. We also show that various multiple-$Q$ states emerge depending on the model parameters. Our results indicate the possibility of topological spin textures in centrosymmetric tetragonal magnets with easy-plane magnetic anisotropy when the ground-state spin configuration at zero field is characterized by a single-$Q$ in-plane cycloidal spiral state.

9 pages, 8 figures

References in corpus (29)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Theory of helical spin crystals: phases, textures and properties
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• 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
• Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to $4f$-Electron Compound EuPtSi
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• The Double-$Q$ Ground State with Topological Charge Stripes in the Skyrmion Candidate ${\text{GdRu}}_{\text{2}}{\text{Si}}_{\text{2}}$
• Spin order and fluctuations in the EuAl${}_4$ and EuGa${}_4$ topological antiferromagnets: A $\mu$SR study
• Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy
• Rhombic skyrmion lattice coupled with orthorhombic structural distortion in EuAl${}_4$
• Quantum oscillations in a centrosymmetric skyrmion-hosting magnet GdRu2Si2
• Thermodynamic insights into the intricate magnetic phase diagram of EuAl${}_4$
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Robust formation of nanoscale magnetic skyrmions in easy-plane thin film multilayers with low damping
• Charge-density wave transition in magnetic topological semimetal EuAl${}_4$

Cited by in corpus (4)

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• Versatile multi-q antiferromagnetic charge order in correlated vdW metals