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To clarify the nature of high-temperature superconductivity in the bilayernickelate La$_3$Ni$_2$O$_7$ under pressure, we investigate, using thedensity-matrix renormalization group method, the pair correlations in thetwo-orbital $t$-$J$ ladder model. While the interchain-intraorbital paircorrelations exhibit a slow power-law decay in both orbitals, the interorbitalpair correlation also develops due to the hybridization via interorbitalhopping. These intra and interorbital pair correlations are enhanced by Hund'scoupling, but more importantly, the interorbital pairing correlation developseven without Hund's coupling, where apparent interorbital pairing glue isabsent. Our finding suggests that the hybridized two-orbital picture preciselydescribes superconductivity in the bilayer nickelate.

Pair correlations of the hybridized orbitals in a ladder model for the bilayer nickelate La$_3$Ni$_2$O$_7$