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.

Accepted by Phys. Rev. Research

References in corpus (3)

• Orbital order and possible superconductivity in LaNiO3/LaMO3 superlattices
• Physics of ultrathin films and heterostructures of rare earth nickelates
• Hole superconductivity in infinite-layer nickelates

Cited by in corpus (73)

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• 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
• 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
• 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
• $f$-electron and magnetic ordering effects in nickelates LaNiO${}_2$ and NdNiO${}_2$: remarkable role of the cuprate-like $3d_{x^2-y^2}$ band
• Optical properties of the infinite-layer La${}_{1-x}$Sr${}_x$NiO${}_2$ and hidden Hund's physics
• 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${}_2$
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Cuprate-like Electronic Structures in Infinite-Layer Nickelates with Substantial Hole Dopings
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• Altermagnetism and superconductivity in a multiorbital t-J model
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• 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
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• Soft X-ray Spectroscopy of Low-Valence Nickelates
• Magnetic penetration depth and $T_c$ in superconducting nickelates
• Self-doping and the Mott-Kondo scenario for infinite-layer nickelate superconductors
• Strongly correlated doped hole carriers in the superconducting nickelates: Their location, local many-body state, and low-energy effective Hamiltonian
• Experimental Evidence that Zn Impurities Pin Pair-Density-Wave Order in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Contrasting physical properties of the trilayer nickelates Nd${}_4$Ni${}_3$O${}_{10}$ and Nd${}_4$Ni${}_3$O${}_8$
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• An electronic origin of charge order in infinite-layer nickelates
• Microscopic Theory of Superconducting Phase Diagram in Infinite-Layer Nickelates
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• Many-body electronic structure of $d^{9-\delta }$ layered nickelates
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• Electronic Theory for Scanning Tunneling Microscopy Spectra in Infinite-Layer Nickelate Superconductors
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• Pressure effects on the electronic structure and magnetic properties of infinite-layer nickelates
• Magnetic excitations in infinite-layer nickelates
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