Local nodal Cooper pairs in multiorbital systems

Abstract

We show the emergence of a new class of superconductivity in multiorbital systems, focusing on non-Kramers f${}^2$ states. The Cooper pairs in this class of superconductivity mainly consist of local pairs with the same symmetry as the local f${}^2$ ground states. When the local ground state is an anisotropic representation, the superconducting gap has nodes on the Fermi surface. This nodal superconductivity is mediated by the strong onsite inter-orbital attractions as a consequence of negative-$U$ physics generalized to multiorbital systems. We show that this is indeed realized in a simple two-orbital model with antiferro Hund's coupling and enhanced inter-orbital interaction derived via a systematic local down folding. Finally, we briefly discuss superconductivity in Pr-1-2-20 compounds, UBe${}_{13}$, and PrOs${}_4$Sb${}_{12}$ in view of the present mechanism.

arXiv comment5 pages, 3 figures, and 1 table, references added

References in corpus (20)

• Frequency-dependent local interactions and low-energy effective models from electronic structure calculations
• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Multiband superconductivity with unexpected deficiency of nodal quasiparticles in CeCu2Si2
• Unified understanding of superconductivity and Mott transition in alkali-doped fullerides from first principles
• Orbital Fluctuation-Induced Triplet Superconductivity : Mechanism of Superconductivity in ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$
• Superconductivity from emerging magnetic moments
• Construction of microscopic model for f-electron systems on the basis of j-j coupling scheme
• CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations
• Superconductivity and crystalline electric field effects in the filled skutterudite series Pr(Os${}_{1-x}$Ru${}_x$)${}_4$Sb${}_{12}$
• Classification of multipole superconductivity in multi-orbital systems and its implications
• Spontaneous orbital-selective Mott transitions and the Jahn-Teller metal of A${}_3$C${}_{60}$
• Spin Fluctuation Induced Superconductivity Controlled by Orbital Fluctuation
• Non-Fermi Liquid Behavior of U-impurity with $f^2$-Singlet Ground State
• Field-Orientation Dependence of Low-Energy Quasiparticle Excitations in the Heavy-Electron Superconductor UBe13
• Effective Crystalline Electric Field Potential in a j-j Coupling Scheme
• Superconductivity in the two-band Hubbard model
• On-site Atractive Multiorbital Hamiltonian for $d$-Wave Superconductors
• BCS-BEC quantum phase transition and collective excitations in two-dimensional Fermi gases with p- and d-wave pairings
• Quasiparticle Interactions for f${}^2$-Impurity Anderson Model with Crystalline-Electric-Field: Numerical Renormalization Group Study

Cited by in corpus (5)

• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Anisotropic Superconductivity Emerging from the Orbital Degrees of Freedom in a ${\Gamma }_3$ Non-Kramers Doublet System
• Electronic origin of ferroic quadrupole moment under antiferroic quadrupole orders and finite magnetic moment in $J_{\mathrm{eff}}=3/2$ systems
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• Microscopic Theory of ${\Gamma }_3$ Quadrupole Ordering in Pr Compounds on the Basis of a $j$-$j$ Coupling Scheme