s - and d xy -wave components induced around a vortex in d x 2 − y 2 -wave superconductors
Abstract
Vortex structure of
d
x
2
−
y
2
-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. If the pairing interaction contains an
s
-wave (
d
xy
-wave) component in addition to a
d
x
2
−
y
2
-wave component, the
s
-wave (
d
xy
-wave) component of the order parameter is necessarily induced around a vortex in
d
x
2
−
y
2
-wave superconductors. The spatial distribution of the induced
s
-wave and
d
xy
-wave components is calculated. The
s
-wave component has opposite winding number around vortex near the
d
x
2
−
y
2
-vortex core and its amplitude has the shape of a four-lobe clover. The amplitude of
d
xy
-component has the shape of an octofoil. These are consistent with results based on the GL theory.