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

Fuente: arXiv
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Autor principal: Hayami, Satoru
Formato: Preprint
Publicado: 2023
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author Hayami, Satoru
author_facet Hayami, Satoru
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_01542
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field
Hayami, Satoru
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
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.
title Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2312.01542