Topological magnetic solitons on a paraboloidal shell
arXiv:1411.2481 · doi:10.1016/j.physleta.2014.10.025
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 -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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Cited by in corpus (7)
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- Multiplet of skyrmion states on a curvilinear defect: skyrmion lattices as a ground state
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