The s^±-Wave Superconductivity in the Pressurized La₄Ni₃O₁₀

Recently, evidence of superconductivity (SC) has been reported in pressurized La₄Ni₃O₁₀. Here we study the possible pairing mechanism and pairing symmetry in this material. Through fitting the density-functional-theory band structure, we provide a six-orbital tight-binding model. In comparison with the band structure of La₃Ni₂O₇, the additional non-bonding dz² band is importance to the pairing mechanism here. When the multi-orbital Hubbard interactions are included, our random-phase-approximation based study yields an s±-wave pairing with Tc significantly lower than that in pressurized La₃Ni₂O₇. The dominant FS nesting with nesting vector Q₁≈ (π,π) is between the M-pocket contributed by the bonding dz² band top and the local bottom regime of the non-bonding 3dz² band near the Γ-point, leading to the strongest pairing gap amplitude and opposite gap signs within the two regimes. The dominant real-space pairing is the interlayer pairing between the dz² orbitals. We have also studied the doping dependence of the pairing symmetry and Tc.