Theory of proximity effect in $s+p$-wave superconductor junctions

Abstract

We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal / unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of $s+p$-wave superconductor, we calculate LDOS in DN and charge conductance of DN / $s+p$-wave superconductor junctions. When the $s$-wave component of the pair potential is dominant, LDOS has a gap like structure at zero energy and the dominant pairing in DN is even-frequency spin-singlet $s$-wave. On the other hand, when the $p$-wave component is dominant, the resulting LDOS has a zero energy peak and the dominant pairing in DN is odd-frequency spin-triplet $s$-wave. We show the robustness of the quantization of the conductance when the magnitude of $p$-wave component of the pair potential is larger than that of $s$-wave one. These results show the robustness of the anomalous proximity effect specific to spin-triplet superconductor junctions.

arXiv comment47 pages, 9 figures

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• Theory of Majorana zero modes in unconventional superconductors
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Anomalous proximity effect under Andreev and Majorana bound states
• Spin conductance in SNN junctions with non-centrosymmetric superconductors
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Anisotropic differential conductance of a mixed parity superconductor/ferromagnet structure