Magnetic vortex-like excitations on a sphere
arXiv:cond-mat/0703134 · doi:10.1016/j.physleta.2007.04.002
Abstract
We study magnetic vortex-like solutions lying on the spherical surface. The simplest cylindrically symmetric vortex presents two cores (instead of one, like in open surfaces) with same charge, so repealing each other. However, the net vorticity is computed to vanish in accordance with Gauss theorem. We also address the problem of a flat plane in which a conical, a pseudospherical and a hemispherical segments were incorporated. In this case, if we allow the vortex to move without appreciable deformation in this support, then it is attracted by the conical apex and by the pseudosphere as well, while it is repealed by the hemisphere. This suggests that such surfaces could be viewed as pinning and depinning geometries for those excitations. Spherical harmonics coreless solutions are discussed within some details.
15 pages, 8 .eps figures, typed in tex. Version accepted in Physics Letters A (2007), please see DOI #
References in corpus (11)
- Grain Boundary Scars and Spherical Crystallography
- Towards a Tetravalent Chemistry of Colloids
- Nematic textures in spherical shells
- Anomalous coupling between topological defects and curvature
- Heisenberg spins on a cone: an interplay between geometry and magnetism
- Heisenberg model on a space with negative curvature: topological spin textures on the pseudosphere
- Geometrical pinning of magnetic vortices induced by a deficit angle on a surface: anisotropic spins on a conic space background
- Analytical and Monte Carlo study of two antidots in magnetic nanodisks with vortex-like magnetization
- Anisotropic Kosterlitz-Thouless Transition Induced by Hard-Wall Boundaries
- Exact solutions of SO(3) non-linear sigma model in a conic space background
- Surface Curvature and Vortex Stability
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