We make a systematic study of the vortex structure for a $d_{x^2-y^2}$ superconductor as a function of the Ginzburg-Landau parameter $\kappa =\lambda /{\xi }_0$ and the angles between the vortex direction and the crystalline axis. We find, for a vortex lying along the $c$ axis, that the four satellite vortices in the induced $s$-wave component of the order parameter are stable only for large κ. When lying along the $a$ axis the $s$-wave component presents a structure with a single vortex at the central core and winding number 1. For $\kappa =\infty$ we study the continuous evolution of the vortex between these two situations.

• Received 24 June 1997

DOI:https://doi.org/10.1103/PhysRevB.58.11181