Hund's coupling stabilized superconductivity in the presence of spin-orbit interactions

Abstract

The intraorbital repulsive Hubbard interaction cannot lead to attractive superconducting pairing states, except through the Kohn-Luttinger mechanism. This situation may change when we include additional local interactions such as the interorbital repulsion $U^{\prime }$ and Hund's interactions $J$. Adding these local interactions, we study the nature of the superconducting pairs in systems with tetragonal crystal symmetry including the $d_{xz}$ and $d_{yz}$ orbitals, and in octahedral systems including all three of $d_{xz}$, $d_{yz}$, and $d_{xy}$ orbitals. In the tetragonal case, spin-orbit interactions can stabilize attractive pairing channels containing spin triplet, orbital singlet character. Depending on the form of spin-orbit coupling, pairing channels belonging to degenerate, non-trivial irreducible representations may be stabilized. In the octahedral case, the pairing interactions of superconducting channels are found to depend critically on the number of bands crossing the Fermi energy.

arXiv comment9 pages

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• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• The Triplet Resonating Valence Bond State and Superconductivity in Hund's Metals
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Distinct reduction of Knight shift in superconducting state of Sr${}_2$RuO${}_4$ under uniaxial strain
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• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Enhanced Spin-Orbit Coupling in a Correlated Metal
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
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• Thermal Responses of Spin Density and Spin Current Induced by Bogoliubov Fermi Surfaces in Proximity Superconductors