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.

arXiv comment11 pages, 10 figures, accepted to Physical Review B

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• Influence of the impurity scattering on charge transport in unconventional superconductor junctions
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• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Stability of flat zero-energy states at the dirty surface of a nodal superconductor
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• Observability of surface currents in p-wave superconductors
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Influence of diffuse surface scattering on the stability of superconducting phases with spontaneous surface current generated by Andreev bound states
• Josephson current in a normal-metal nanowire coupled to superconductor/ferromagnet/superconductor junction
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Subgap in the surface bound states spectrum of Superfluid ${}^3$He-B with Rough Surface
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States