M. Ichioka et al., S-WAVE AND D(XY)-WAVE COMPONENTS INDUCED AROUND A VORTEX IN D(X(2)-Y(2))-WAVE SUPERCONDUCTORS, Physical review. B, Condensed matter, 53(5), 1996, pp. 2233-2236
The vortex structure of d(x2-y2)-wave superconductors is microscopical
ly analyzed in the framework of the quasiclassical Eilenberger equatio
ns. If the pairing interaction contains an s-wave (d(xy)-wave) compone
nt in addition to a d(x2-y2)-wave component, the s-wave (d(xy)-wave) c
omponent of the order parameter is necessarily induced around a vortex
in d(x2-y2)-wave superconductors. The spatial distribution of the ind
uced s-wave and d(xy)-wave components is calculated. The s-wave compon
ent has an opposite winding number around the vortex near the d(x2-y2)
-vortex core and its amplitude has the shape of a four-lobe clover. Th
ese are consistent with results based on the Ginzburg-Landau (GL) theo
ry. The amplitude of the d(xy) component has the shape of an octofoil.
The mixing of the d(xy) component cannot be explained by the GL theor
y, unless nonlocal correction terms are included.