Anomalous surface states at interfaces in p-wave superconductors

Abstract

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 $p_x+i{p}_y$ -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 $d_{xy}$ 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 $p_x+i{p}_y$ state we demonstrate the appearance of a complex multi-peak subgap structure in the spectrum with increasing surface roughness.

11 pages, 10 figures, accepted to Physical Review B

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Cited by in corpus (3)

• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface