Dynamics of a Vortex in Two-Dimensional Superfluid He3-A: Force Caused   by the l-Texture
  Based on the Landau-Ginzburg Lagrangian, the dynamics of a vortex is studied for superfluid He3-A characterized by the l-texture. The resultant equation of motion for a vortex leads to the Magnus-type force caused by the l-texture. The force is explicitly written in terms of the mapping degree from the compactified 2-dimensional plane to the space of l-vector, which reflects the quantitative differences of vortex configurations, especially the Mermin-Ho and Anderson-Toulouse vortices. The formulation is applied to anisotropic superconductors in which the Hall current is shown to incorporate changes between vortex configurations. 
Hiroshi Kuratsuji (Ritsumeikan Univ.) and Hiroyuki Yabu (Tokyo   Metropolitan Univ.)