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The suppression of density wave in bilayer nickelate La3⁢Ni2⁢O7 under pressure has been identified as a critical factor enabling pressure-induced high-temperature superconductivity. However, this density wave state exhibits remarkable stability against most alternative tuning methods except the high-pressure technique. Herein through systematic investigations of Tb doping effects on electrical transport and magnetic properties, we observe a gradual suppression of density wave transition temperature with the increasing Tb concentration, accompanied by the emergence of negative magnetoresistance persisting up to 14 T. Magnetic susceptibility measurements further reveal the formation of a doping-induced spin-glass state, which likely accounts for the observed negative magnetoresistance phenomenon. This work establishes an effective chemical doping approach to manipulate the density wave state and correlated quantum state in La3⁢Ni2⁢O7, offering new insights into the mechanism of high-temperature superconductivity and potential pathways toward achieving ambient-pressure superconductivity in bulk nickelate crystals.

This study systematically investigates the low-temperature physics and unconventional pairing mechanism of the hybrid nickelate La₅Ni₃O₁₁ using a symmetry-based phenomenological approach combined with charge self-consistent density functional theory and dynamical mean-field theory. The monolayer subsystem is found to be in a Mott insulating state, and superconductivity primarily originates from the Ni-e_g orbitals in the bilayer subsystem. The system exhibits a two-gap superconducting feature, with the dominant pairing arising from interlayer coupling between d_{z²} orbitals and the secondary pairing from intralayer coupling within d_{x²-y²} orbitals. Compared with high-pressure La₃Ni₂O₇, the reduction of the superconducting transition temperature T_c in La₅Ni₃O₁₁ can be attributed to the weakening of interlayer pairing contributions, which is directly reflected in the decreased magnitude of the hopping parameter ratio |t_{\perp}^z/t_{\parallel}^{x}|. This unified picture provides a microscopic theoretical framework for understanding the superconducting pairing mechanism within bilayer NiO₂ planes and the role of the γ pocket.

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Using the density matrix renormalization group method, this work systematically investigates the evolution of superconducting pairing correlations with the filling of the Ni 3d_{z²} orbital in an effective bilayer two-orbital model of pressurized bilayer nickelate La₃Ni₂O₇ on a one-dimensional minimal geometric structure. By adjusting the orbital chemical potential difference to continuously tune the 3d_{z²} orbital from 1/12 doping to near half-filling, it is found that superconducting correlations are significantly suppressed near half-filling, indicating that the itinerancy of this orbital favors pairing. Moreover, pairing correlations are enhanced in regions with larger charge fluctuations, suggesting competition between charge order and superconductivity. These results support the existing theoretical picture that interlayer antiferromagnetic superexchange provides the pairing glue, while the itinerant 3d_{z²} orbital mediates pairing and establishes long-range coherence through hybridization. The study clarifies the crucial role of the itinerancy of the 3d_{z²} orbital in superconductivity, providing important evidence for understanding the unconventional pairing mechanism in this system.

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This study establishes a correspondence between the multi-orbital Hubbard model and the bilayer Hubbard model, proposing an orbital-space bilayer model (OSBM) in which the orbital energy level difference ΔE plays a role analogous to interlayer hopping in a real-space bilayer model, and superconductivity is enhanced in the incipient-band regime. Based on this, the theory predicts that the reduced bilayer nickelate La₃Ni₂O₆, under appropriate hole doping, can serve as a candidate OSBM superconductor. A tight-binding model constructed from first principles reveals a large ΔE between the Ni d_{x²-y²} orbital and other d orbitals due to the absence of apical oxygen atoms. Using the fluctuation-exchange approximation, calculations show that in the incipient-band scenario, intersite interactions can drive s±-wave superconductivity, where the superconducting gap function changes sign between the d_{x²-y²} band and other d-orbital bands. The study also examines the energetic and dynamic stability of the crystal structure under atomic substitution and pressure. Although La₃Ni₂O₇ and La₃Ni₂O₆ share similar chemical formulas, this work suggests that the latter may realize a completely different pairing mechanism.

This study constructs a seven-orbital effective model based on first-principles calculations and employs the fluctuation exchange (FLEX) approximation to theoretically analyze the superconductivity of free-standing infinite-layer nickelate Nd₀.₈₅Sr₀.₁₅NiO₂ films under pressure. The results show that the superconducting transition temperature Tc increases monotonically with applied pressure, consistent with recent experimental observations. This enhancement is attributed to the mitigation of excessively strong electronic correlations arising from the extremely low valence state of Ni atoms, leading to a significant reduction in the effective electronic interaction parameter U, which in turn reduces quasiparticle damping and enhances spin-fluctuation-mediated d-wave pairing. Additionally, phonon calculations confirm that the crystal structure remains dynamically stable up to 90 GPa. By comparing models with different U values, the study demonstrates that only a relatively large U (approximately 5.1 eV) can reproduce the experimental trend, while smaller U values lead to premature saturation or even a dome-shaped Tc behavior, thereby supporting the mechanism whereby excessively strong correlations suppress superconductivity in infinite-layer nickelates, and pressure alleviates these correlations to enhance Tc.

This study theoretically analyzes the superconductivity of La₃Ni₂O₇ thin films under ambient pressure. A model Hamiltonian is constructed based on first-principles structure optimization, with the in-plane lattice constants fixed to those of the experimental substrates (LSAT, LAO, and SLAO), and an additional model employing experimentally determined crystal structures is used. The linearized Eliashberg equation is solved using the fluctuation exchange approximation (FLEX) with full momentum- and frequency-dependent Green’s functions and pairing interactions. The results indicate that the electronic structure, including the presence or absence of the γ Fermi pocket, depends on the adopted crystal structure and whether +U corrections are included in the band calculations, yet the s±-wave pairing symmetry remains robust. This robustness primarily arises because pairing is mediated by finite-energy spin fluctuations, which are insensitive to details of the Fermi surface topology and yield a nearly momentum-independent interlayer d_{3z²−r²} pairing gap function in the orbital representation. On the other hand, the superconducting transition temperature of the thin films (approximately 40 K) is about half that of bulk material under pressure (approximately 80 K). Within the FLEX framework, this can only be understood by adopting a model with a small interlayer hopping parameter |t⊥| derived from experimentally determined crystal structures, although other contributing factors cannot be ruled out.

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