Spontaneous time reversal and parity breaking in a dx(2)-y(2)-wave superconductor with magnetic impurities

It is shown that patches of complex d(xy), components are generated around a magnetic impurity in the presence of coupling between the orbital moment of the condensate and the impurity spin S-z. The locally induced d(xy) gap leads to the fully gapped quasiparticle spectrum near impurity. It is suggested that at low temperatures the well de tined patches of d(xy) are formed, possibly leading to a phase locked state due ttl Josephson tunneling. Violation of time-reversal symmetry and parity occurs spontaneously at this point via a second order transition. In the ordered phase both the impurity magnetization and the d(xy) component of the order parameter develop and are proportional to each other. [S0031-9007(98)05427-1].