Recently, evidence of superconductivity (SC) has been reported in pressurized La$_4$Ni$_3$O$_{10}$. 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 La$_3$Ni$_2$O$_7$, the additional non-bonding $d_{z^2}$ band is importance to the pairing mechanism here. When the multi-orbital Hubbard interactions are included, our random-phase-approximation based study yields an $s^{\pm}$-wave pairing. The dominant FS nesting with nesting vector $\mathbf{Q}_1\approx (π,π)$ is between the $γ$-pocket contributed by the bonding $d_{z^2}$ band top and the $α_1$-pocket contributed by the non-bonding $d_{z^2}$ band bottom, 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 $d_{z^2}$ orbitals. We have also studied the doping dependence of the pairing symmetry and $T_c$.
Strong-coupling study of the pairing mechanism in pressurized La$_3$Ni$_2$O$_7$
Beijing Institute of Technology（北京理工大学）；Hangzhou Normal University（杭州师范大学）；Xiamen University（厦门大学）；Westlake University（西湖大学）；Westlake Institute for Advanced Study（西湖高等研究院）
Unveiling pressurized bulk superconductivity in a trilayer nickelate Pr4Ni3O10 single crystal
ShanghaiTech University（上海科技大学）；Songshan Lake Materials Laboratory（松山湖材料实验室）；Center for High Pressure Science and Technology Advanced Research（高压科学前沿研究中心）；Institute for Shanghai Advanced Research in Physical Sciences (SHARPS)（上海物理科学研究院）；Beijing University of Technology（北京工业大学）；Japan Synchrotron Radiation Research Institute（日本同步辐射研究机构）；University of Oxford（牛津大学）；Tsinghua University（清华大学）
Emergence of Double-Dome Superconductivity in the Pressurized Dirac Semimetal BaMg2Bi2
State Key Laboratory of Quantum Functional Materials, School of Physical Science and Technology, ShanghaiTech University（上海科技大学物理科学与技术学院量子功能材料国家重点实验室）；ShanghaiTech Laboratory for Topological Physics, ShanghaiTech University（上海科技大学拓扑物理实验室）；Anhui Provincial Key Laboratory of Magnetic Functional Materials and Devices, Institutes of Physical Science and Information Technology, Anhui University（安徽大学物质科学与信息技术研究院安徽省磁性功能材料与器件重点实验室）；Shanghai Key Laboratory of High-resolution Electron Microscopy, ShanghaiTech University（上海科技大学高分辨电子显微镜上海市重点实验室）
Correlation-renormalized spin-fluctuation pairing and the stabilization of $s_{\pm}$ superconductivity in pressurized La$_3$Ni$_2$O$_7$
Key Laboratory of Materials Physics, Institute of Solid State Physics, HFIPS, Chinese Academy of Sciences（中国科学院合肥物质科学研究院固体物理研究所材料物理重点实验室）；Science Island Branch of Graduate School, University of Science and Technology of China（中国科学技术大学研究生院科学岛分院）
Dissimilarities between the electronic structure of chemically doped and chemically pressurized iron pnictides from an angle-resolved photoemission spectroscopy study
Bulk superconductivity up to 96 K in pressurized nickelate single crystals
State Key Laboratory of Crystal Materials, Institute of Crystal Materials, Shandong University（山东大学晶体材料研究所）；Center for High Pressure Science and Technology Advanced Research（高压科学和技术先进研究中心）；Shanghai Key Laboratory of Material Frontiers Research in Extreme Environments (MFree), Shanghai Advanced Research in Physical Sciences (SHARPS)（极端环境材料前沿研究上海市重点实验室（MFree），上海物理科学先进研究中心（SHARPS））；Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所，凝聚态物理国家实验室）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；CAS Key Laboratory of Standardization and Measurement for Nanotechnology, National Center for Nanoscience and Technology（中国科学院纳米技术标准化与计量重点实验室，国家纳米科学中心）；Key Laboratory of Materials Physics, Ministry of Education, School of Physics, Zhengzhou University（郑州大学物理学院，教育部材料物理重点实验室）；Institute of Quantum Materials and Physics, Henan Academy of Sciences（河南省科学院量子材料与物理研究所）；NSF’s ChemMatCARS, The University of Chicago（芝加哥大学，美国国家科学基金会化学-材料束线组合站（ChemMatCARS））；School of Materials and Energy, University of Electronic Science and Technology of China（电子科技大学材料与能源学院）；Huzhou Key Laboratory of Smart and Clean Energy, Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China（电子科技大学长三角研究院（湖州），湖州市智能清洁能源重点实验室）；Shanghai Synchrotron Radiation Facility, Shanghai Advanced Research Institute, Chinese Academy of Sciences（中国科学院上海高等研究院，上海同步辐射光源）；Japan Synchrotron Radiation Research Institute（日本同步辐射研究机构）；NanoTerasu Promotion Division, Japan Synchrotron Radiation Research Institute (JASRI)（日本同步辐射研究机构（JASRI）纳米terasu推进部）
Robust $s_\pm$-wave pairing in a bilayer two-orbital model of pressurized La$_3$Ni$_2$O$_7$ without the $γ$ Fermi surface
Center for Quantum Transport and Thermal Energy Science, Jiangsu Key Lab on Opto-Electronic Technology, School of Physics and Technology, Nanjing Normal University（南京师范大学物理科学与技术学院量子输运与热能科学中心、光电技术江苏省重点实验室）
$^{139}$La nuclear quadrupole resonance studies of pressurized La$_4$Ni$_3$O$_{10}$
Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology（华中科技大学物理学院及武汉国家强磁场中心）；Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；Songshan Lake Materials Laboratory（松山湖材料实验室）
