Two-band model for magnetism and superconductivity in nickelates

Abstract

The recently discovered superconductivity in Nd${}_{1-x}$Sr${}_x$NiO${}_2$ provides a new opportunity for studying strongly correlated unconventional superconductivity. The single-hole Ni${}^{+}$ ($3d^9$) configuration in the parent compound NdNiO${}_2$ is similar to that of Cu${}^{2+}$ in cuprates. We suggest that after doping, the intra-orbital spin-singlet and inter-orbital spin-triplet double-hole (doublon) configurations of Ni${}^{2+}$ are competing, and we construct a two-band Hubbard model by including both the $3d_{x^2-y^2}$ and $3d_{xy}$-orbitals. The effective spin-orbital super-exchange model in the undoped case is a variant of the $SU(4)$ Kugel-Khomskii model augmented by symmetry breaking terms. Upon doping, the effective exchange interactions between spin-$\frac{1}{2}$ single-holes, spin-1 (triplet) doublons, and singlet doublons are derived. Possible superconducting pairing symmetries are classified in accordance to the $D_{4h}$ crystalline symmetry, and their connections to the superexchange interactions are analyzed.

arXiv commentAccepted by Phys. Rev. Research

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Cited by in corpus (84)

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• Bilayer two-orbital model of La${}_3$Ni${}_2$O${}_7$ under pressure
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• Late transition-metal oxides with infinite-layer structure: Nickelates versus cuprates
• Nickelate superconductors -- a renaissance of the one-band Hubbard model
• Interlayer Coupling Driven High-Temperature Superconductivity in La${}_3$Ni${}_2$O${}_7$ Under Pressure
• Doping evolution of the Mott-Hubbard landscape in infinite-layer nickelates
• Two superconducting components with different symmetries in Nd1-xSrxNiO2 films
• Absence of superconductivity in bulk Nd${}_{1-x}$Sr${}_x$NiO${}_2$
• Topotactic hydrogen in nickelate superconductors and akin infinite-layer oxides ABO2
• Many-body Electronic Structure of NdNiO${}_2$ and CaCuO${}_2$
• A substantial hybridization between correlated Ni-d orbital and itinerant electrons in infinite-layer nickelates
• Superconductivity in infinite-layer nickelates
• Pressure-induced monotonic enhancement of Tc to over 30 K in the superconducting Pr0.82Sr0.18NiO2 thin films
• Role of $4f$ states in infinite-layer NdNiO${}_2$
• Hund's metal physics: from SrNiO${}_2$ to NdNiO${}_2$
• Orbital and Spin Character of Doped Carriers in Infinite-Layer Nickelates
• Multiorbital processes rule the Nd${}_{1-x}$Sr${}_x$NiO${}_2$ normal state
• Electronic Structure Trends Across the Rare-Earth Series in Superconducting Infinite Layer Nickelates
• Distinct pairing symmetries of superconductivity in infinite-layer nickelates
• Materials design of dynamically stable $d^9$ layered nickelates
• Effective Hamiltonian for superconducting Ni oxides Nd${}_{1-x}$Sr${}_x$NiO${}_2$
• Electronic and Magnetic Structure of Infinite-layer ${\text{NdNiO}}_2$: Trace of Antiferromagnetic Metal
• Strong Superexchange in a $d^{9-\delta }$ Nickelate Revealed by Resonant Inelastic X-Ray Scattering
• Calculated Exchange Interactions and Sensitivity of Ni Two-Hole Spin State to Hund's Coupling in Doped NdNiO2
• Superconductivity in nickel based 112 systems
• Optical properties of the infinite-layer La${}_{1-x}$Sr${}_x$NiO${}_2$ and hidden Hund's physics
• $f$-electron and magnetic ordering effects in nickelates LaNiO${}_2$ and NdNiO${}_2$: remarkable role of the cuprate-like $3d_{x^2-y^2}$ band
• Fluctuation-frustrated flat band instabilities in NdNiO2
• Phase diagram of nickelate superconductors calculated by dynamical vertex approximation
• Dynamical Mean Field Studies of Infinite Layer Nickelates: Physics Results and Methodological Implications
• Doping-dependent character and possible magnetic ordering of NdNiO${}_2$
• Trilayer multi-orbital models of $\mathrm{L}{\mathrm{a}}_4\mathrm{N}{\mathrm{i}}_3{\mathrm{O}}_{10}$
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Cuprate-like Electronic Structures in Infinite-Layer Nickelates with Substantial Hole Dopings
• Quantitative Theory of Triplet Pairing in the Unconventional Superconductor LaNiGa${}_2$
• Altermagnetism and superconductivity in a multiorbital t-J model
• Ab initio many-body GW correlations in the electronic structure of LaNiO${}_2$
• Polarity induced electronic and atomic reconstruction at NdNiO2/SrTiO3 interfaces
• Magnetic exchange coupling in cuprate-analog $d^9$ nickelates
• Doping dependence of electronic structure of infinite-layer NdNiO2
• Future Study of Dense Superconducting Hydrides at High Pressure
• Physical properties revealed by transport measurements on superconducting Nd${}_{0.8}$Sr${}_{0.2}$NiO${}_2$ thin films
• Correlations turn electronic structure of finite-layer nickelates upside down
• Electronic structure and magnetic properties of higher-order layered nickelates: La${}_{n+1}$Ni${}_n$O${}_{2n+2}$ ($n=4-6$)
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• Self-doping and the Mott-Kondo scenario for infinite-layer nickelate superconductors
• Magnetic penetration depth and $T_c$ in superconducting nickelates
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• Experimental Evidence that Zn Impurities Pin Pair-Density-Wave Order in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Hund-Heisenberg model in superconducting infinite-layer nickelates
• Contrasting physical properties of the trilayer nickelates Nd${}_4$Ni${}_3$O${}_{10}$ and Nd${}_4$Ni${}_3$O${}_8$
• Metal-to-metal transition and heavy-electron state in Nd${}_4$Ni${}_3$O${}_{10-\delta }$
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• Microscopic Theory of Superconducting Phase Diagram in Infinite-Layer Nickelates
• Hund physics landscape of two-orbital system
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• Topotactic-hydrogen forms chains in $AB$O${}_2$ nickelate superconductors
• Dynamical structural instability and its implication on the physical properties of infinite-layer nickelates
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• Screening in a two-band model for superconducting infinite-layer nickelate
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• Electronic Theory for Scanning Tunneling Microscopy Spectra in Infinite-Layer Nickelate Superconductors
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• Closing in on possible scenarios for infinite-layer nickelates: comparison of dynamical mean-field theory with angular-resolved photoemission spectroscopy
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• Softening of $dd$ excitation in the resonant inelastic x-ray scattering spectra as a signature of Hund's coupling in nickelates
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• Magnetism of competing high-spin/low-spin states in Ba${}_2$NiO${}_2$(AgSe)${}_2$ and related two-orbital two-electron systems
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• Pressure effects on the electronic structure and magnetic properties of infinite-layer nickelates
• Magnetic excitations in infinite-layer nickelates
• Character of Doped Holes in Nd${}_{1-x}$Sr${}_x$NiO${}_2$