Multiorbital singlet pairing and $d+d$ superconductivity

Abstract

Recent experiments in multiband Fe-based and heavy-fermion superconductors have challenged the long-held dichotomy between simple $s$- and $d$-wave spin-singlet pairing states. Here, we advance several time-reversal-invariant irreducible pairings that go beyond the standard singlet functions through a matrix structure in the band/orbital space, and elucidate their naturalness in multiband systems. We consider the $s{\tau }_3$ multiorbital superconducting state for Fe-chalcogenide superconductors. This state, corresponding to a $d+d$ intra- and inter-band pairing, is shown to contrast with the more familiar $d+\text{i}d$ state in a way analogous to how the B- triplet pairing phase of \enhe superfluid differs from its A- phase counterpart. In addition, we construct an analogue of the $s{\tau }_3$ pairing for the heavy-fermion superconductor CeCu${}_2$Si${}_2$, using degrees-of-freedom that incorporate spin-orbit coupling. Our results lead to the proposition that $d$-wave superconductors in correlated multiband systems will generically have a fully-gapped Fermi surface when they are examined at sufficiently low energies.

arXiv comment50 pages, 7 figures, and Supplementary Information; finalized version, to appear in npj Quantum Materials

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• Resonance from antiferromagnetic spin fluctuations for superconductivity in UTe${}_2$
• Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
• Thermodynamics of transition to BCS-BEC crossover superconductivity in FeSe${}_{1-x}$S${}_x$
• Revealing the Heavy Quasiparticles in the Heavy-Fermion Superconductor CeCu2Si2
• Unconventional fully-gapped superconductivity in the heavy-fermion metal CeCu${}_2$Si${}_2$
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Nodal multigap superconductivity in the anisotropic iron-based compound RbCa2Fe4As4F2
• Orbital-dependent self-energy effects and consequences for the superconducting gap structure in multi-orbital correlated electron systems
• Multiple superconducting phases in heavy-fermion metals
• Identifying Topological Superconductivity in 2D Transition-Metal Dichalcogenides
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Unconventional superconductivity near a flat band in organic and organometallic materials
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• Conventional $s$-wave Superconductivity in LaRh${}_2$As${}_2$; the Analog without the 4$f$ Electrons of CeRh${}_2$As${}_2$
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• CeCu${}_2$Si${}_2$ and YbRh${}_2$Si${}_2$: Strange Cases of Heavy-Fermion Superconductivity
• Ab initio study of orbital-selective superconductivity in $\gamma$-BiPd
• First-Principles Study of the Fermi Surface Topology of CeCu${}_2$Si${}_2$