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Hauptverfasser: Leask, Paul, Speight, Martin
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2504.17772
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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
id 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