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The recent discovery of superconductivity in La$_3$Ni$_2$O$_7$ with $T_\mathrm{c} \simeq 80~\mathrm{K}$ under high pressure opens up a new route to high-$T_\mathrm{c}$ superconductivity. This material realizes a bilayer square lattice model…

Superconductivity · Physics 2024-09-02 Siheon Ryee , Niklas Witt , Tim O. Wehling

The mechanism of superconductivity in $\mathrm{La_3Ni_2O_7}$ bulk and film superconductors remains actively debated. Here, we investigate the bilayer two-orbital Kanamori-Hubbard model for $\mathrm{La_3Ni_2O_7}$ using cellular dynamical…

Superconductivity · Physics 2025-09-30 Shi-cong Mo , Yao-yuan Zheng , Wéi Wú

We investigate the bilayer nickelates as a platform to realize the symmetric mass generation (SMG) insulator, a featureless Mott insulator that arises due to the Lieb-Schultz-Mattis (LSM) anomaly cancellation in bilayer spin-1/2 lattice…

Strongly Correlated Electrons · Physics 2023-09-15 Da-Chuan Lu , Miao Li , Zhao-Yi Zeng , Wanda Hou , Juven Wang , Fan Yang , Yi-Zhuang You

Interlayer coupling plays a critical role in van der Waals materials by governing lattice stability and emergent quantum phases, yet its impact on few-layer hexagonal CoTe$_2$ remains unclear. Here, using first-principles calculations, we…

Materials Science · Physics 2026-03-24 Wenping Chen , Ziyun Zhang , Feipeng Zheng

The square-lattice Hubbard and closely related $t$-$J$ models are considered as basic paradigms for understanding strong correlation effects and unconventional superconductivity (SC). Recent large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2024-02-12 Xin Lu , Feng Chen , W. Zhu , D. N. Sheng , Shou-Shu Gong

We present a theory of the interplane conductivity of bilayer high temperature superconductors, focusing on the effect of quantal and thermal fluctuations on the oscillator strengths of the superfluid stiffness and the bilayer plasmon. We…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shah , A. J. Millis

We investigate a t-J ladder model by numerical diagonalization method. By calculating correlation functions and assuming the Luttinger liquid relation, we obtained a possible phase diagram of the ground state as a function of J/t and…

Condensed Matter · Physics 2009-10-28 Kazuhiro Sano

The recent discovery of high-$T_{c}$ superconductivity in bilayer nickelate La$_{3}$Ni$_{2}$O$_{7}$ under high pressure has stimulated great interest concerning its pairing mechanism. We argue that the weak coupling model from the almost…

Superconductivity · Physics 2023-11-15 Yi-feng Yang , Guang-Ming Zhang , Fu-Chun Zhang

We derive a $t$-$J$ model applicable to strongly correlated two-orbital systems including bilayer nickelate superconductors. Using the Schrieffer-Wolff transformation, we exclude the doubly occupied states, which raise the onsite Coulomb…

Strongly Correlated Electrons · Physics 2025-08-22 Tatsuya Kaneko , Masataka Kakoi , Kazuhiko Kuroki

The 2-leg t-J ladder forms a spin liquid at half-filling which evolves to a Luther-Emery liquid upon doping. Our aim is to obtain a complete phase diagram for isotropic coupling (i.e. rungs and legs equal) as a function of electron density…

Strongly Correlated Electrons · Physics 2009-10-31 T. F. A. Muller , T. M. Rice

The recent observation of superconductivity at relatively high temperatures in hole doped NdNiO$_2$ has generated considerable interest, particularly due to its similarity with the infinite layer cuprates. Building on the observation that…

Strongly Correlated Electrons · Physics 2020-05-06 Ya-Hui Zhang , Ashvin Vishwanath

We present an exact diagonalization study of bilayer clusters of t-J model. Our results indicate a crossover between two markedly different regimes which occurs when the ratio J_perp/J between inter-layer and intra-layer exchange constants…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

The Kohn-Luttinger (KL) mechanism of pairing, which describes superconductivity emergent from repulsive interactions, typically yields Cooper pairs at high angular-momentum ($\ell > 0$) and extremely low transition temperatures ($T_c$).…

Superconductivity · Physics 2026-03-06 Shi-Cong Mo , Hongyi Yu , Wéi Wú

The low energy behaviour of the isotropic t--J ladder system is investigated using exact diagonalization techniques, specifically finding the Drude weight, the charge velocity and the compressibility. By applying the ideas of Luttinger…

Condensed Matter · Physics 2009-10-28 C. A. Hayward , D. Poilblanc

We clarify the pairing mechanism of high-$T_c$ superconductivity in bilayer La$_3$Ni$_2$O$_7$ under high pressure by employing the static auxiliary field Monte Carlo approach to simulate a minimal effective model that contains local…

Superconductivity · Physics 2023-10-18 Qiong Qin , Yi-feng Yang

Ever since the discovery of high-temperature superconductivity in cuprates, gaining microscopic insights into the nature of pairing in strongly correlated, repulsively interacting fermionic systems has remained one of the greatest…

Strongly Correlated Electrons · Physics 2024-10-02 Henning Schlömer , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

The bilayer Hubbard model with an intra-layer hopping $t$ and an inter-layer hopping $t_\perp$ provides an interesting testing ground for several aspects of what has been called unconventional superconductivity. One can study the type of…

Superconductivity · Physics 2011-07-20 T. A. Maier , D. J. Scalapino

The discovery of nickelate superconductivity provided the first example of a non-copper-based material with superconductivity strongly analogous to the cuprates, but recent findings raise questions and inconsistencies around the electron…

Superconductivity · Physics 2024-11-05 Y. N. Huang , D. J. Singh

Recent observations of an 80 K superconductor in La$_3$Ni$_2$O$_7$ under high pressure have attracted significant attention. Recent experiments indicate that La$_3$Ni$_2$O$_7$ may be in the charge transfer regime, challenging the previous…

Strongly Correlated Electrons · Physics 2024-05-02 Hanbit Oh , Boran Zhou , Ya-Hui Zhang

Competing orders represent a central challenge in understanding strongly correlated systems. In this work, we employ projector quantum Monte Carlo simulations to study a sign-problem-free bilayer extended Hubbard model. In this model, a…

Superconductivity · Physics 2025-10-29 Runyu Ma , Zenghui Fan , Hongxin Liu , Tianxing Ma , Hai-Qing Lin