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Using non-perturbative dynamic cluster approximation quantum Monte Carlo calculations, we characterize the magnetic and superconducting pairing behavior of a realistic bilayer two-orbital Hubbard-Hund model of this system that describes the relevant Ni\n e<\/jats:italic>\n \n g<\/jats:italic>\n <\/jats:sub>\n states with physically relevant interaction strengths. We find a leading\n s<\/jats:italic>\n \u00b1<\/jats:sup>\n superconducting instability in this model at a temperature\n T<\/jats:italic>\n ~ 100 K close to the experimentally observed\n T<\/jats:italic>\n \n c<\/jats:italic>\n <\/jats:sub>\n . Analyzing the orbital and spatial structure of the effective pairing interaction giving rise to this state reveals that the interaction predominantly acts between local interlayer pairs of the\n \n \n $${d}_{3{z}^{2}-{r}^{2}}$$<\/jats:tex-math>\n \n \n \n d<\/mml:mi>\n <\/mml:mrow>\n \n 3<\/mml:mn>\n \n \n z<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n -<\/mml:mo>\n \n \n r<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n orbital. By correlating the strength of the interaction with that of the magnetic spin fluctuations we show that it is driven by strong interlayer spin-fluctuations arising from the\n \n \n $${d}_{3{z}^{2}-{r}^{2}}$$<\/jats:tex-math>\n \n \n \n d<\/mml:mi>\n <\/mml:mrow>\n \n 3<\/mml:mn>\n \n \n z<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n -<\/mml:mo>\n \n \n r<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n orbital. These results provide first-time non-perturbative evidence supporting the picture that a simple single-orbital bilayer Hubbard model for the Ni\n \n \n $${d}_{3{z}^{2}-{r}^{2}}$$<\/jats:tex-math>\n \n \n \n d<\/mml:mi>\n <\/mml:mrow>\n \n 3<\/mml:mn>\n \n \n z<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n -<\/mml:mo>\n \n \n r<\/mml:mi>\n <\/mml:mrow>\n \n 2<\/mml:mn>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:mrow>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n orbital provides an excellent low-energy effective description of the superconducting behavior of La\n 3<\/jats:sub>\n Ni\n 2<\/jats:sub>\n O\n 7<\/jats:sub>\n .\n <\/jats:p>","DOI":"10.1038\/s41535-026-00849-9","type":"journal-article","created":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T18:35:12Z","timestamp":1769106912000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Interlayer pairing in bilayer nickelates"],"prefix":"10.1038","volume":"11","author":[{"given":"Thomas A.","family":"Maier","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Doak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ling-Fang","family":"Lin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Adriana","family":"Moreo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elbio","family":"Dagotto","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,1,22]]},"reference":[{"key":"849_CR1","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1038\/s41586-023-06408-7","volume":"621","author":"H Sun","year":"2023","unstructured":"Sun, H. et al. 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