We theoretically propose a possibility of realizing high-$T_c$ superconductivity having $s\pm$-wave symmetry in the heavily hole-doped infinite layer nickelates ${\mathrm{La}}_{1-x}{\mathrm{Sr}}_x{\mathrm{NiO}}_2$. We consider situations where the original $P4/mmm$ symmetry of ${\mathrm{LaNiO}}_2$ is maintained even for a significant amount of Sr substitution by growing thin films on substrates having tetragonal symmetry. Considering such cases is indeed justified by our phonon calculations. For electron configurations somewhat close to $d^8$, the interaction between the $d_{x^2-y^2}$ band and the other $3d$ bands that lie just below the Fermi level results in an enhancement of superconductivity where the sign of the gap function is reversed between the former and the latter bands.

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• High-temperature superconductors
• Strongly correlated systems
• Superconductors
• Density functional theory
• Electron-correlation calculations
• Eliashberg theory
• First-principles calculations
• Green's function methods
• Hubbard model