Orbital-selective d-wave superconductivity arises exclusively from the itinerant orbital in the two-band t-J model, suppressed by local inter-orbital bound states from the quasi-localized orbital.
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Observation of an energy-symmetric flat-bottom U-shaped gap with zero residual DOS in (La,Pr)3Ni2O7 thin films, showing unconventional temperature evolution and magnetic field suppression consistent with a nodeless superconducting gap.
Correlations in the nickelate drive the gamma band below the Fermi level and shift the dominant superconducting pairing to d_x2-y2 interlayer spin-singlet mediated by antiferromagnetism and Hund's coupling.
Compressive strain and oxygenation in (La,Pr)₃Ni₂O₇₋δ films delocalize Ni 3d_z² and O 2p_z orbitals, suppress long-range spin-density-wave order, and preserve short-range magnons as prerequisites for superconductivity.
Superconductivity in bilayer nickelates emerges only when coherent interlayer d_z2-p_z-d_z2 hybridization develops, suppressing static spin-density-wave order and damping spin excitations.
ARPES on (La,Pr,Sm)3Ni2O7 films reveals quasi-2D dx2-y2 bands, finite kz dispersion on dz2 bands, and a superconducting gap of ~18 meV with 2Δ/kBTc ~8 on the dz2-derived band.
A perpendicular electric field induces a transition from s±-wave to d-wave superconductivity in the bilayer Hubbard model for La3Ni2O7, with d-wave pairing exhibiting dome-like behavior.
Varying the Ni-Ni interlayer distance switches La3Ni2O7/LaAlO3 films between C-type and G-type spin density waves, with s± superconductivity emerging in between.
Terahertz spectroscopy on (La,Pr)3Ni2O7 films indicates disordered s±-wave pairing in the superconducting state and a distinct normal-state pseudogap above Tc onset.
The two-step resistive transition in La2PrNi2O7-δ thin films arises from granular superconductivity involving two distinct grain phases coupled by a Josephson junction network.
A d_x2-y2 orbital bilayer t-J model with first-principles parameters unifies experimental Tc controls in La3Ni2O7 via particle-hole asymmetry and J_perp dependence, proposing electron doping to enhance Tc.
Constrained-path QMC simulations of a bilayer Hubbard model map a crossover from d-wave to s±-wave pairing driven by Hund's coupling and crystal field splitting in La3Ni2O7.
DFT-based tight-binding models and FRG calculations predict that reducing in-plane lattice constant or increasing out-of-plane constant in La3Ni2O7 films increases Fermi-level DOS and enhances Tc while preserving s± pairing.
Compressive strain enhances Jahn-Teller splitting Δ_JT in La3Ni2O7 films as the key microscopic tuning parameter for superconductivity, matching ARPES and Hall data on specific substrates.
Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that produce a pseudogap but no condensate.
Epitaxial strain enables ambient-pressure superconductivity in bilayer nickelate films, facilitating detailed studies of their properties and phase diagrams.
The review covers experimental and theoretical progress on superconductivity in Ruddlesden-Popper nickelates, emphasizing ambient-pressure thin-film results in La3Ni2O7.