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arXiv · 2510.14689

Magnetic D-brane solitons: skyrmion strings ending on a N\'eel wall in chiral magnets

Sven Bjarke Gudnason·Muneto Nitta
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Abstract

Magnetic skyrmions extended to three dimensions form string-like objects whose fundamental role remains largely unexplored. We show that skyrmion strings can terminate on a N\'eel-type domain wall (DW), realizing a magnetic analogue of a Dirichlet(D)-brane soliton. While an isolated N\'eel DW tends to rotate into a Bloch DW, the N\'eel DW is stabilized when a skyrmion string ends on it, by being transformed into a trumpet. Unlike field-theory D-branes, the Bloch-type DMI produces linear rather than logarithmic DW bending, and the strings retain finite width far from the DW, circumventing singular behavior. Furthermore, the repulsive interaction between strings allows periodic multi-junction solutions, yielding a square lattice of alternating strings and local DW deformations as well as separating Bloch points. These results establish magnetic skyrmion strings as fundamental strings that can end on a D-brane.

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Sven Bjarke Gudnason, Muneto Nitta. 2025-10-16. Magnetic D-brane solitons: skyrmion strings ending on a N\'eel wall in chiral magnets. https://doi.org/10.1103/3w42-x2g2

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