Time-reversal symmetry-breaking superconductivity

We study time-reversal symmetry-breaking superconductivity with Delta(k)=Delta(x2-y2)(k) + e(i theta)Delta(alpha) (alpha=s or d(xy)) symmetries. It is shown that the behavior of such superconductors could be qualitatively different depending on the minor component(a) and its phase at lower temperatures. It is argued that such qualitatively! different behaviors in thermal as well as in angular dependences could be a source of consequences in transport and Josephson physics. Orthorhombicity is found to be a strong mechanism for the mixed phase (in the case of alpha=s). We show that due to electron correlation the order parameter is more like a pure d(x2-y2) symmetry near optimum doping. [S0163-1829(99)05102-4].