Geometrical pinning of magnetic vortices induced by a deficit angle on a surface: anisotropic spins on a conic space background
arXiv:cond-mat/0511443 · doi:10.1016/j.physleta.2006.07.009
Abstract
We study magnetic vortex-like excitations lying on a conic space background. Two types of them are obtained. Their energies appear to be linearly dependent on the conical aperture parameter, besides of being logarithmically divergent with the sample size. In addition, we realize a geometrical-like pinning of the vortex, say, it is energetically favorable for it to nucleate around the conical apex. We also study the problem of two vortices on the cone and obtain an interesting effect on such a geometry: excitations of the same charge, then repealing each other, may nucleate around the apex for suitable cone apertures. We also pay attention to the problem of the vortex pair and how its dissociation temperature depends upon conical geometry.
13 pages, 06 figures, Latex. Version accepted for PHYSICS LETTERS A
References in corpus (11)
- Anomalous coupling between topological defects and curvature
- Geometric Theory of Defects
- Geometric effects on critical behaviours of the Ising model
- Vortex behavior near a spin vacancy in 2D XY-magnets
- Heisenberg spins on a cone: an interplay between geometry and magnetism
- Vortex-vacancy interactions in two-dimensional easy-plane magnets
- Diluted planar ferromagnets: nonlinear excitations on a non-simply connected manifold
- Vacancy effects in an easy-plane Heisenberg model: reduction of T_c and doubly-charged vortices
- Charge Fluctuations for a Coulomb Fluid in a Disk on a Pseudosphere
- Exact solutions of SO(3) non-linear sigma model in a conic space background
- Spiral vortices in a 2D ferromagnet
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