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

Abstract

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.

4 pages, RevTex(twocolumn)

References in corpus (3)

• Vortex motion and the Hall effect in type II superconductors: a time dependent Ginzburg-Landau theory approach
• Equation of Motion for a Spin Vortex and Geometric Force
• Spectral Flow and Vortex Dynamics in Superfluids, Superconductors and Ferromagnets

Cited by in corpus (1)

• Domain wall dynamics in the spinor Bose-Einstein condensates