Local time-reversal-symmetry breaking in d(x2-y2) superconductors

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