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arXiv · 2411.12190

Higher-dimensional magnetic Skyrmions

Sven Bjarke Gudnason·Stefano Bolognesi·Roberto Menta
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Abstract

We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an $S^3$ target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could be made using a synthetic dimension, recently promoted and realized in condensed matter physics. In the simplest incarnation of the theory, we find a Skyrmion and a sphaleron - the latter being an unstable soliton. Including also the Skyrme term in the theory enriches the spectrum to a small metastable Skyrmion, an unstable sphaleron and a large stable Skyrmion.

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Sven Bjarke Gudnason, Stefano Bolognesi, Roberto Menta. 2024-11-19. Higher-dimensional magnetic Skyrmions. https://doi.org/10.1007/jhep03(2025)016

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