Quasiparticle states near the surface and the domain wall in a Px±ipy-wave superconductor

The electronic states near a surface or a domain wall in the p-wave superconductor are studied for the order parameter of the form p(x) +/- ip(y)-wave, which is a unitary odd-parity state with broken time-reversal symmetry. This state has been recently suggested as the superconducting state of Sr2RuO4. The spatial variation of the order parameter and vector potential is determined self-consistently within the quasi-classical approximation, The local density of states at the surface is constant and does not show any peak-like or gap-like structure within the superconducting energy gap, in contrast to the case of the d-wave superconductors. The influence of an external magnetic field is mainly observable in the energy range above the hulk gap. On the other hand, there is a small energy gap in the local density of states at the domain wall between domains of the two degenerate p(x) + ip(y)-wave and p(x) - ip(y)-wave states.