Superconducting phase diagram of finite-layer nickelates Ndn+1NinO2n+2

Following the successful prediction of the superconducting phase diagram for infinite-layer nickelates, here we calculate the superconducting T_c vs. the number of layers n for finite-layer nickelates using the dynamical vertex approximation. To this end, we start with density functional theory, and include local correlations non-perturbatively by dynamical mean-field theory for n = 2–7. For all n, the Ni \({d}_{{x}^{2}-{y}^{2}}\) orbital crosses the Fermi level, but for n > 4 there are additional (π, π) pockets or tubes that slightly enhance the layer-averaged hole doping of the \({d}_{{x}^{2}-{y}^{2}}\) orbitals beyond the leading 1/n contribution stemming from the valence electron count. We finally calculate T_c for the single-orbital \({d}_{{x}^{2}-{y}^{2}}\) Hubbard model by dynamical vertex approximation.