Anomalous surface states at interfaces in p-wave superconductors

We present the results of theoretical study of surface state properties in a two-dimensional model for triplet p -wave superconductors. We derive boundary conditions for Eilenberger equations at rough interfaces and develop the approach for self-consistent solution for the spatial dependence of $p_x$- and $p_x$ +$ip_y$-wave pair potentials. In the $p_x$ case we demonstrate the robustness of the zero-energy peak in the density of states (DoS) with respect to surface roughness, in contrast to the suppression of such a peak in the case of $d_x_y$ symmetry. This effect is due to stability of odd-frequency pairing state at the surface with respect to disorder. In the case of the chiral $p_x$ +$ip_y$ state we demonstrate the appearance of a complex multipeak subgap structure in the spectrum with increasing surface roughness.