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Shape of a skyrmion

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arxiv 1804.10162 v3 pith:W3E4VAGM submitted 2018-04-26 cond-mat.str-el

Shape of a skyrmion

classification cond-mat.str-el
keywords equationmagneticmethodshapeskyrmionappliedbilayercalculation
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We propose a method of determining the shape of a two-dimensional magnetic skyrmion, which can be parameterized as the position dependence of the orientation of the local magnetic moment, by using the expansion in terms of the eigenfunctions of the Schr\"{o}dinger equation of a harmonic oscillator. A variational calculation is done, up to the next-to-next-to-leading order. This result is verified by a lattice simulation based on Landau-Lifshitz-Gilbert equation. Our method is also applied to the dissipative matrix in the Thiele equation as well as two interacting skyrmions in a bilayer system.

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