Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr₂RuO₄

In multiorbital systems with significant Hund’s and spin-orbit coupling, even-parity interorbital spin-triplet pairing emerges as a relevant instability. Spin-orbit coupling generates an intraband pseudospin-singlet component of pairing, resulting in both singlet and triplet character and can also influence the pairing symmetry [1]. A natural question is whether higher angular momentum pairing symmetries such as d- and g-wave, proposed in candidate systems, can be realized from local spin-triplet pairing. We examine the interplay between spin-orbit coupling and the electronic dispersions in correlated metals such as Sr₂RuO₄ to demonstrate how they can be realized. The competition among pairing states is determined as multiple spin-orbit coupling parameters are tuned, and the presence of both d- and g-wave pairings, including a d+ig state, are found when the spin-orbit coupling with d-wave character is increased [2].