Bilayer t − J − J ⊥ Model and Magnetically Mediated Pairing in the Pressurized Nickelate La 3 Ni 2 O 7

The recently discovered nickelate superconductor ${\mathrm{La}}_{3}{\mathrm{Ni}}_{2}{\mathrm{O}}_{7}$ has a high transition temperature near 80 K under pressure, providing an additional avenue for exploring unconventional superconductivity. Here, with state-of-the-art tensor-network methods, we study a bilayer ${t\text{\ensuremath{-}}J\text{\ensuremath{-}}J}_{\ensuremath{\perp}}$ model for ${\mathrm{La}}_{3}{\mathrm{Ni}}_{2}{\mathrm{O}}_{7}$ and find a robust $s$-wave superconductive (SC) order mediated by interlayer magnetic couplings. Large-scale density matrix renormalization group calculations find algebraic pairing correlations with Luttinger parameter ${K}_{\mathrm{SC}}\ensuremath{\lesssim}1$. Infinite…

• NN
  National Natural Science Foundation of China

  Awards: 12174317, 12074031, 12222412, 11974036, 12234016, 12047503, 11834014
• CA
  Chinese Academy of Sciences

  Award: XDB28000000