Odd-frequency pairing in a superconductor coupled to two parallel nanowires

Abstract

We study the behavior of Cooper pair amplitudes that emerge when a two-dimensional superconductor is coupled to two parallel nanowires, focusing on the conditions for realizing odd-frequency pair amplitudes in the absence of spin-orbit coupling or magnetism. In general, any finite tunneling between the superconductor and the two nanowires induces odd-frequency spin-singlet pair amplitudes in the substrate as well as a substantial odd-frequency interwire pairing, both of which vanish locally. Interestingly, in the regime of strong superconductor-nanowire tunneling, we find that the presence of two nanowires allows for the conversion of non-local odd-frequency pairing to local even-frequency pairing. By studying this higher-order symmetry conversion process, we are able to identify a notable effect of the odd-frequency pairing in the superconductor on local quantities accessible by experiments. Specifically, we find that the odd-frequency pairing plays a direct role in the emergence of certain subgap features in the local density of states, and, importantly, it is responsible for a reduction of the maximum Josephson current between the two nanowires, measurable using Josephson scanning tunneling microscopy. We discuss ways to control the sizes of these effects induced by odd-frequency superconductivity by tuning the parameters describing the nanowires.

arXiv comment16 pages, 14 figures

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Cited by in corpus (7)

• Odd-frequency superconducting pairing in one-dimensional systems
• Van der Waals heterostructures with spin-orbit coupling
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Odd-frequency superconductivity induced by non-magnetic impurities
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry