  We consider the problem of superconducting Ginzburg-Landau (G-L) vortices
with antiferromagnetic cores which arise in Zhang's SO(5) model of
antiferromagnetism (AF) and high temperature superconductivity (SC). This
problem was previously considered by Arovas et al. who constructed approximate
"variational" solutions, in the large kappa limit, to estimate the domain of
stability of such vortices in the temperature-chemical potential phase diagram.
By solving the G-L equations numerically for general kappa, we show that the
amplitude of the antiferromagnetic component at the vortex core decreases to
zero continuously at a critical value of the AF-SC anisotropy (g~0.25) which is
essentially independent of kappa for large kappa. The magnetic field profile,
the vortex line energy and the value of the B-field at the center of the vortex
core, as functions of anisotropy are also presented.
