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.

9 pages

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Cited by in corpus (17)

• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• 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
• Superconductivity of anomalous pseudospin
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Sign-Free Determinant Quantum Monte Carlo Study of Excitonic Density Orders in a Two-Orbital Hubbard-Kanamori Model
• Interplay of charge and spin fluctuations in a Hund's coupled impurity
• Enhanced Spin-Orbit Coupling in a Correlated Metal
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity