Dynamics of a Vortex in Two-Dimensional Superfluid He3-A: Force Caused by the l-Texture

Physics – Condensed Matter

Scientific paper

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4 pages, RevTex(twocolumn)

Scientific paper

10.1103/PhysRevB.59.11175

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.

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