An′alise de algumas solu?c?oes topol′ogicas do modelo de Heisenberg na superf′?cie de um paraboloide Analysis of some topological solutions of the Heisenberg model on the surface of a paraboloid

摘要

In this study, we investigate the Heisenberg model in the paraboloidal surface. Through the Euler-Lagrange equations, two types of excitation were found as solutionsof the model: the soliton-lyke and the vortex-like. At the first one, we considered theisotropic model (λ = 0) and we found out, to the infinite paraboloid, topologicallystable solitons. However, in the case of the surface with a hole in its center or thefinite paraboloid, the fractional solitons appear. Then, considering the anisotropicmodel (λ = ?1) we have found the vortex-like solution, whose energy is influencedby the relation between the high and the maximum radius of the paraboloid.