Structure of Vortices in Superfluid 3He A-like Phase in Uniaxially Stretched Aerogel

Possible vortex-core transitions in A-like phase of superfluid 3He in uniaxially stretched aerogel are investigated. Since the global anisotropy in this system induces the polar pairing state in a narrow range close to the superfluid transition in addition to the A-like and B-like phases, the polar state may occur in the core of a vortex in the A-like phase identified the ABM pairing state, like in the case of the bulk B phase where a core including the ABM state is realized at higher pressures. We examine the ocre structure of a single vortex under the boundary condition compatible with the Mermin-Ho vortex in the presence of the dipole interaction. Following Salomaa and Volovik's approach, we numerically solve the Ginzburg-Landau equation for an axially symmetric vortex and, by examining its stability against nonaxisymmetric perturbations, discuss possible vortex core states. It is found that a first order transition on core states may occure on warming from an axisymmetric vortex with a nonunitary core to a singular vortex with the polar core.