Quench Dynamics of Chiral Antiferromagnetic Josephson Junctions

The balanced coexistence of superconducting and chiral magnetic order within the same structure is the subject of interest from both as a means to generate unconventional superconductivity and to make new superconducting spintronic devices. In this study, we investigate the quench dynamics of the chiral antiferromagnetic Josephson Junctions using the time-dependent Kadanoff-Baym formalism. We find that as the magnetic exchange in the magnetic link increases, the conversion of the singlet Cooper pairs to spin-polarized triplet pairs becomes systematically localized towards the interface between the contacts and the magnetic link. Furthermore, as the magnetic exchange increases, we find that the corresponding triplet superconductivity becomes chiral and capable of hosting emergent zero energy Yu-Shiba-Rusinov states(hereinafter Shiba states) at a given chemical potential. We observe the evolution of the supercurrent and a shift in the Josephson frequency that depend on the applied voltage and the magnetic exchange interaction. Our work elucidates the complex interdependence between the magnetic exchange in chiral antiferromagnetic metals and the nature of the observed unconventional superconductivity in the Josephson junction and serves to reduce the parameter space needed to probe such effects experimentally.