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Motivated by the recent discovery of superconductivity in La$_3$Ni$_2$O$_7$ under pressure, we discuss the basic ingredients of a model that captures its microscopic physics under pressure tuning. We anchor our description in terms of the…

Superconductivity · Physics 2024-08-01 Zhiguang Liao , Lei Chen , Guijing Duan , Yiming Wang , Changle Liu , Rong Yu , Qimiao Si

The pairing symmetry of the recently discovered bilayer nickelate superconductor La$_3$Ni$_2$O$_7$ is a subject of intense debate in condensed matter physics, with the two leading theoretical candidates being a sign-reversing $s_{\pm}$-wave…

Strongly Correlated Electrons · Physics 2026-04-21 Yicheng Xiong , Yanmei Cai , Tianxing Ma

Recently, the bulk nickelate La$_3$Ni$_2$O$_7$ is reported to show signature of high-temperature superconductivity under high pressure above $14$GPa [H. Sun et al., Nature 621, 493 (2023)]. We analyze the pairing mechanism and pairing…

Superconductivity · Physics 2023-10-19 Qing-Geng Yang , Da Wang , Qiang-Hua Wang

The recent discovery of superconductivity in La$_3$Ni$_2$O$_7$ raises key questions about its mechanism and the nature of pairing symmetry. This system is believed to be described by a bilayer two-orbital Hubbard model. The considerations…

Superconductivity · Physics 2025-02-14 Guijing Duan , Zhiguang Liao , Lei Chen , Yiming Wang , Rong Yu , Qimiao Si

The discovery of high-${T_c}$ superconductivity in pressurized bilayer nickelate La$_3$Ni$_2$O$_7$ presents a new arena for exploring unconventional pairing mechanisms. A pivotal yet unresolved issue is the specific role of the $3d_{z^{2}}$…

Strongly Correlated Electrons · Physics 2026-05-26 Y. F. Chen , Y. Shen , X. J. Qian , G. M. Zhang , M. P. Qin

The discovery of $T_c\sim 80$~K superconductivity in pressurized La$_3$Ni$_2$O$_7$ has launched a new platform to study high-temperature superconductivity. Using non-perturbative dynamic cluster approximation quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2025-06-10 Thomas A. Maier , Peter Doak , Ling-Fang Lin , Yang Zhang , Adriana Moreo , Elbio Dagotto

The discovery of superconductivity (SC) in the trilayer nickelate compound La$_{4}$Ni$_3$O$_{10}$ under pressure has generated significant interest. In this work, we propose a trilayer two $E_g$-orbital $t$-$J_{\parallel}$-$J_{\perp}$ model…

Superconductivity · Physics 2025-04-24 Chen Lu , Zhiming Pan , Fan Yang , Congjun Wu

Whether the ground state of the square lattice Hubbard model exhibits superconductivity remains a major open question, central to understanding high temperature cuprate superconductors and ultra-cold fermions in optical lattices. Numerical…

Superconductivity · Physics 2025-11-13 Christopher Roth , Ao Chen , Anirvan Sengupta , Antoine Georges

The recent discovery of possible high temperature superconductivity in single crystals of $La_3Ni_2O_7$ under pressure renews the interest in research on nickelates. The DFT calculations reveal that both $d_{z^2}$ and $d_{x^2-y^2}$ orbitals…

Superconductivity · Physics 2024-05-13 Jie-Ran Xue , Fa Wang

High-pressure superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$, with a transition temperature approaching 80 K, has stimulated intense debate regarding its microscopic origin. Although an $s_{\pm}$ gap symmetry has been widely…

Superconductivity · Physics 2026-03-17 Hiroshi Watanabe , Hirofumi Sakakibara , Kazuhiko Kuroki

The recent discovery of superconductivity with a transition temperature $T_c$ over 40 K in La$_3$Ni$_2$O$_7$ and (La,Pr)$_{3}$Ni$_2$O$_7$ thin films at ambient pressure marks an important step in the field of nickelate superconductors.…

Superconductivity · Physics 2025-07-10 Wenyuan Qiu , Zhihui Luo , Xunwu Hu , Dao-Xin Yao

Motivated by the report of superconductivity in bilayer La$_3$Ni$_2$O$_7$ at high pressure, we examine the interacting electrons in this system. First-principles many-body theory is utilized to study the normal-state electronic properties.…

Strongly Correlated Electrons · Physics 2023-12-04 Frank Lechermann , Jannik Gondolf , Steffen Bötzel , Ilya M. Eremin

Developing a low-energy model is essential for understanding unconventional superconductivity in bilayer nickelate La$_3$Ni$_2$O$_7$. Here, we analyze distinct low-energy scenarios of the normal state by downfolding the ab-initio determined…

Strongly Correlated Electrons · Physics 2025-05-19 Frank Lechermann , Steffen Bötzel , Ilya M. Eremin

The recent discovery of bulk superconductivity in trilayer nickelate La$_4$Ni$_3$O$_{10}$ with the critical temperature $T_c$ near $30$K under high pressure is attracting a new wave of research interest, after the breakthrough of bilayer…

Superconductivity · Physics 2024-07-03 Qing-Geng Yang , Kai-Yue Jiang , Da Wang , Hong-Yan Lu , Qiang-Hua Wang

The discovery of superconductivity at 80 K under high pressure in La$_3$Ni$_2$O$_7$ presents the groundbreaking confirmation that high-$T_c$ superconductivity is a property of strongly correlated materials beyond cuprates. We use density…

Superconductivity · Physics 2024-07-30 Zhen Fan , Jian-Feng Zhang , Bo Zhan , Dingshun Lv , Xing-Yu Jiang , Bruce Normand , Tao Xiang

Recently, the bilayer perovskite nickelate La$_3$Ni$_2$O$_7$ has been reported to exhibit high-temperature superconductivity near $80$ K under a moderate pressure of about $14$GPa. To investigate the underlying pairing mechanism and…

Superconductivity · Physics 2026-01-06 Jia-Heng Ji , Chen Lu , Zhi-Yan Shao , Zhiming Pan , Fan Yang , Congjun Wu

Motivated by the discovery of high-temperature superconductivity in bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure, we investigate the ground-state phase diagram and correlation effects using determinant quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-02-07 Jian-Jian Yang , Dao-Xin Yao , Han-Qing Wu

To clarify the nature of high-temperature superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure, we investigate, using the density-matrix renormalization group method, the pair correlations in the two-orbital $t$-$J$…

Superconductivity · Physics 2024-05-27 Masataka Kakoi , Tatsuya Kaneko , Hirofumi Sakakibara , Masayuki Ochi , Kazuhiko Kuroki

The discovery of superconductivity in nickelate compounds has opened new avenues in the study of high-temperature superconductors. Here we provide a comprehensive overview of recent progress in the field, including all different nickelate…

Superconductivity · Physics 2025-09-11 Yuxin Wang , Kun Jiang , Jianjun Ying , Tao Wu , Jinguang Cheng , Jiangping Hu , Xianhui Chen

The recent discovery of superconductivity in the bilayer Ruddlesden-Popper nickelate La$_3$Ni$_2$O$_7$ under high pressure has generated much interest in the superconducting pairing mechanism of nickelates. Despite extensive work, the…

Superconductivity · Physics 2025-11-25 Han-Xiang Xu , Daniel Guterding