Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions
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| Format: | Preprint |
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2025
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| _version_ | 1866912876067815424 |
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| author | Leask, Paul Speight, Martin |
| author_facet | Leask, Paul Speight, Martin |
| contents | We develop a theoretical and numerical framework for three-dimensional bulk chiral magnets that includes the full magnetostatic dipole-dipole interaction and its back-reaction on the magnetization. Assuming translational invariance along one spatial direction, we analyze the effect of dipolar interactions on three Dzyaloshinskii--Moriya interaction (DMI) terms -- Dresselhaus, Rashba, and Heusler -- corresponding to Bloch, Néel, and antiskyrmion textures. In the absence of the dipolar interaction, these three DMI terms are gauge-equivalent and yield degenerate skyrmion energies. Incorporating the non-local dipole-dipole interaction breaks this degeneracy: Bloch skyrmions remain unaffected, Néel skyrmions shrink slightly, and Heusler antiskyrmions lose axial symmetry and stabilize into square-lattice crystals. The system is solved using a non-local numerical relaxation method that self-consistently computes the magnetostatic potential from Poisson's equation. Our results show that long-range dipolar interactions can stabilize bulk antiskyrmion crystals in translationally invariant three-dimensional chiral magnets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_17772 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions Leask, Paul Speight, Martin Mesoscale and Nanoscale Physics We develop a theoretical and numerical framework for three-dimensional bulk chiral magnets that includes the full magnetostatic dipole-dipole interaction and its back-reaction on the magnetization. Assuming translational invariance along one spatial direction, we analyze the effect of dipolar interactions on three Dzyaloshinskii--Moriya interaction (DMI) terms -- Dresselhaus, Rashba, and Heusler -- corresponding to Bloch, Néel, and antiskyrmion textures. In the absence of the dipolar interaction, these three DMI terms are gauge-equivalent and yield degenerate skyrmion energies. Incorporating the non-local dipole-dipole interaction breaks this degeneracy: Bloch skyrmions remain unaffected, Néel skyrmions shrink slightly, and Heusler antiskyrmions lose axial symmetry and stabilize into square-lattice crystals. The system is solved using a non-local numerical relaxation method that self-consistently computes the magnetostatic potential from Poisson's equation. Our results show that long-range dipolar interactions can stabilize bulk antiskyrmion crystals in translationally invariant three-dimensional chiral magnets. |
| title | Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.17772 |