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Solvable Models of Magnetic Skyrmions

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arxiv 1910.13907 v2 pith:3ALAIIKM submitted 2019-10-30 cond-mat.mes-hall hep-thmath-phmath.MP

Bernd Schroers This is my paper · ORCID
classification cond-mat.mes-hallhep-thmath-phmath.MP
keywords modelsgeneralmagnetictermskyrmionssolutionssolvableanisotropy
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We give a succinct summary of the recently discovered solvable models of magnetic skyrmions in two dimensions, and of their general solutions. The models contain the standard Heisenberg term, the most general translation invariant Dzyaloshinskii-Moriya (DM) interaction term and, for each DM term, a particular combination of anisotropy and Zeeman potentials. We argue that simple mathematical features of the explicit solutions help understand general qualitative properties of magnetic skyrmion configurations in more generic models.

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  1. Higher-dimensional magnetic Skyrmions

    cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

    Three-dimensional magnetic Skyrmions with an S³ target space are proposed, with a generalized DMI yielding a stable Skyrmion, a sphaleron, and a metastable small Skyrmion in the hybrid model.

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