Competition between uniform ferromagnetism and finite-wave-vector instabilities in square-lattice skyrmion crystals
Abstract
We investigate square-lattice skyrmion crystal states in a centrosymmetric spin model with momentum-dependent magnetic interactions, including a uniform ferromagnetic interaction, easy-axis anisotropic interactions at two orthogonal finite wave vectors, higher-harmonic wave-vector interactions, and an external magnetic field. Using simulated annealing calculations, we determine the low-temperature magnetic phase diagram as functions of magnetic field and uniform ferromagnetic interaction strength. We find that the skyrmion crystal phase is stabilized at intermediate fields when the uniform ferromagnetic interaction is weak, exhibiting a noncoplanar double-Q spin texture, finite scalar spin chirality, and higher-harmonic components. Increasing the uniform ferromagnetic interaction suppresses and eventually eliminates the skyrmion crystal phase through direct first-order transitions to the fully polarized state, whereas its weakening expands the skyrmion stability region and stabilizes a single-Q conical spiral phase at high fields. These results clarify the mechanisms governing the square-lattice skyrmion formation in centrosymmetric magnets.
Versions
Related
- From Nested Soliton Crystals to Skyrmion Crystals in Chiral Magnets
- μSR measurements of 3D Ising ferromagnetism in bulk Fe3GeTe2 crystals
- Non-uniform quantum geometry stabilizes generalized Wigner crystals
- Defect-induced ferromagnetism in undoped oxide thin films: the case of WO 3
- Suppression of the skyrmion Hall effect in planar nanomagnets by the magnetic properties engineering: Skyrmion transport on nanotracks with magnetic strips
BibTeX
@misc{hayami2026competition,
title = {{Competition between uniform ferromagnetism and finite-wave-vector instabilities in square-lattice skyrmion crystals}},
author = {S. Hayami},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23647},
eprint = {2609.23647},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23647},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Competition between uniform ferromagnetism and finite-wave-vector instabilities in square-lattice skyrmion crystals
AU - S. Hayami
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.23647
UR - https://arxiv.org/abs/2609.23647
AB - We investigate square-lattice skyrmion crystal states in a centrosymmetric spin model with momentum-dependent magnetic interactions, including a uniform ferromagnetic interaction, easy-axis anisotropic interactions at two orthogonal finite wave vectors, higher-harmonic wave-vector interactions, and an external magnetic field. Using simulated annealing calculations, we determine the low-temperature magnetic phase diagram as functions of magnetic field and uniform ferromagnetic interaction strength. We find that the skyrmion crystal phase is stabilized at intermediate fields when the uniform ferromagnetic interaction is weak, exhibiting a noncoplanar double-Q spin texture, finite scalar spin chirality, and higher-harmonic components. Increasing the uniform ferromagnetic interaction suppresses and eventually eliminates the skyrmion crystal phase through direct first-order transitions to the fully polarized state, whereas its weakening expands the skyrmion stability region and stabilizes a single-Q conical spiral phase at high fields. These results clarify the mechanisms governing the square-lattice skyrmion formation in centrosymmetric magnets.
ER -