Magnetic Impurities in d-wave Superconductors
Abstract
We solve the problem of a magnetic impurity in a
d
x
2
−
y
2
-wave superconductor by a variational method. A moment is found to exist in the superconducting state only if the Kondo-temperature in the normal state is larger than the maximum in the superconducting gap-function. If a moment exists in the superconducting state, and provided spin-orbit coupling is non-zero, it induces a time-reversal breaking superconducting state locally around the inpurity which is a linear combination of the
d
x
2
−
y
2
and
d
xy
states. The current pattern around the impurity in this state are evaluated.