Disorder-robust $p$-wave pairing with odd frequency dependence in normal metal-conventional superconductor junctions

Abstract

We investigate the induced superconducting pair correlations in junctions between a conventional spin-singlet $s$-wave superconductor and a disordered normal metal. Decomposing the pair amplitude based on its symmetries in the time domain, we demonstrate that the odd-time, or equivalently odd-frequency, spin-singlet $p$-wave correlations are both significant in size and entirely robust against random non-magnetic disorder. We find that these odd-frequency correlations can even be generated by disorder. Our results show that anisotropic odd-frequency pairing represent an important fraction of the proximity-induced correlations in disordered superconducting hybrid structures.

7 pages, 4 figures + 7 pages supplemental material, 4 figures. Published version

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• Classification of pair symmetries in superconductors with unconventional magnetism
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Interplay of finite-energy and finite-momentum superconducting pairing
• Efficient numerical method for evaluating normal and anomalous time-domain equilibrium Green's functions in inhomogeneous systems
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Equal contribution of even and odd frequency pairing to transport across normal metal-superconductor junctions
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Eight-fold classification of superconducting orders