Local time-reversal-symmetry breaking in dx2-y2 superconductors

We show that an isolated impurity in a spin singlet d(x2)-(y2) superconductor generates a d(xy) order parameter with locally broken time-reversal symmetry. The origin of this effect is a coupling between the d(X2)-(y2) and the d(xy) order parameter induced by spin-orbit scattering off the impurity. The signature of locally broken time-reversal symmetry is an induced orbital charge current near the impurity, which generates a localized magnetic field in the vicinity of the impurity. We present a microscopic theory for the impurity-induced d(xy) component, discuss its spatial structure as well as the pattern of induced current and local magnetic field near the localized impurity spin.