Topological magnetic solitons on a paraboloidal shell

P. S. C. Vilas-Boas; R. G. Elias; D. Altbir; J. M. fonseca; V. L. Carvalho-Santos

doi:10.1016/j.physleta.2014.10.025

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arXiv · 1411.2481

Topological magnetic solitons on a paraboloidal shell

P. S. C. Vilas-Boas·R. G. Elias·D. Altbir·J. M. fonseca·V. L. Carvalho-Santos

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Abstract

We study the influence of curvature on the exchange energy of skyrmions and vortices on a paraboloidal surface. It is shown that such structures appear as excitations of the Heisenberg model, presenting topological stability, unlike what happens on other simply-connected geometries such as pseudospheres. We also show that the skyrmion width depends on the geometrical parameters of the paraboloid. The presence of a magnetic field leads to the appearance of $2π$-skyrmions, introducing a new characteristic length into the system. Regarding vortices, the geometrical parameters of the paraboloid play an important role in the exchange energy of this excitation.

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P. S. C. Vilas-Boas, R. G. Elias, D. Altbir, J. M. fonseca, V. L. Carvalho-Santos. 2014-11-10. Topological magnetic solitons on a paraboloidal shell. https://doi.org/10.1016/j.physleta.2014.10.025

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