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Discovery of high-$T_c$ superconductivity (SC) in the bilayer nickelate series La$_3$Ni$_2$O$_7$ have attracted substantial interest, providing a new platform for exploring unconventional SC. Certain experimental evidence has pointed to a…

Superconductivity · Physics 2026-04-23 Zhiming Pan , Chen Lu , Fan Yang , Congjun Wu

In this article, we review some recent theoretical developments on potential high-temperature superconductors and unconventional metallic states that can arise from doping a spin-one Mott insulator in the $d^{8}$ valence. These studies are…

Strongly Correlated Electrons · Physics 2025-09-04 Hanbit Oh , Hui Yang , Ya-Hui Zhang

Interlayer coupling effects between high mobility two-dimensional superconductors are studied in bilayer delta-doped SrTiO3 heterostructures. By tuning the undoped SrTiO3 spacer layer between the dopant planes, clear tunable coupling is…

Superconductivity · Physics 2013-12-24 Hisashi Inoue , Minu Kim , Christopher Bell , Yasuyuki Hikita , Srinivas Raghu , Harold Y. Hwang

We investigate the bilayer model with two layers of imbalanced densities coupled by the interlayer hybridization. Using the large-scale dynamical cluster quantum Monte Carlo simulation, we discovered that increased hybridization induces a…

Superconductivity · Physics 2025-12-12 Ziying Jia , Xun Liu , Mi Jiang

The normal and the superconducting state of two coupled CuO_2 layers in the High-T_c superconductors are investigated by using the bilayer Hubbard model, the FLEX approximation on the real frequency axis and the Eliashberg theory. We find…

Condensed Matter · Physics 2009-10-28 S. Grabowski , J. Schmalian , M. Langer , K. H. Bennemann

We explore the superconducting properties of the bilayer Hubbard model, which exhibits a high transition temperature ($T_{\rm c}$) for an $s_{\pm}$ pairing, using a cluster extension of the dynamical mean-field theory. Unlike the…

Superconductivity · Physics 2025-07-22 Yusuke Nomura , Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

We prove that multilayer superconductivity with interlayer pairing may naturally decompose into a series of weakly-coupled bilayer and trilayer superconducting blocks in order to minimize its total free energy. Our work is motivated by the…

Superconductivity · Physics 2024-09-12 Yi-feng Yang

Understanding the evolution of the superconducting transition temperature in relation to doping and interaction strengths is one of the most challenging problems in high temperature superconductivity. By refining determinant quantum Monte…

Superconductivity · Physics 2025-12-23 Runyu Ma , Tianxing Ma , Congjun Wu

The newly discovered high-$T_c$ nickelate superconductor La$_3$Ni$_2$O$_7$ has generated significant research interest. To uncover the pairing mechanism, it is essential to investigate the intriguing interplay between the two $e_g$, i.e.,…

Strongly Correlated Electrons · Physics 2024-07-09 Jialin Chen , Fan Yang , Wei Li

We study the t-J model in one dimension by numerically projecting the true ground state from a Luttinger liquid trial wave function. We find the model exhibits Luttinger liquid behavior for most of the phase diagram in which interaction…

Condensed Matter · Physics 2009-10-22 C. Stephen Hellberg , E. J. Mele

The recent discovery of superconductivity with $T_c \approx 80$~K in bilayer nickelate La$_3$Ni$_2$O$_7$ provides a new setting in which to test the organizing principles of unconventional high-temperature superconductivity. We show that…

Superconductivity · Physics 2026-04-21 Xianxin Wu , Tao Xiang , Jiangping Hu

We study by the Gutzwiller approximation the melting of the valence bond crystal phase of a bilayer Hubbard model at sufficiently large inter-layer hopping. We find that a superconducting domain, with order parameter $d_{z^2-r^2}$, $z$…

Strongly Correlated Electrons · Physics 2011-11-22 Nicola Lanata` , Paolo Barone , Michele Fabrizio

The studies of high-temperature superconductors raise a fundamental question: Can a small Fermi surface phase, which violates the Luttinger theorem, exist and give rise to superconductivity? Our work provides a positive answer through a…

Strongly Correlated Electrons · Physics 2023-11-30 Hui Yang , Hanbit Oh , Ya-Hui Zhang

Understanding the pairing mechanism in bilayer nickelate superconductors constitutes a fascinating quest. Here we investigate the intriguing interplay between Hund's rule coupling and interorbital hybridization in a two-orbital model for…

Strongly Correlated Electrons · Physics 2025-10-07 Xing-Zhou Qu , Dai-Wei Qu , Xin-Wei Yi , Wei Li , Gang Su

We report the discovery of a generalized Luther-Emery liquid phase characterized by incommensurate pair-density-wave (iC-PDW) correlations in the two-leg $t$-$J$-$J_\perp$ ladder model. By tuning the potential difference between the legs,…

Strongly Correlated Electrons · Physics 2026-02-06 Hanbit Oh , Julian May-Mann , Ya-Hui Zhang

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

Recent experiments in the cuprates have seen evidence of a transient superconducting state upon optical excitation polarized along the c-axis [R. Mankowsky et al., Nature 516, 71 (2014)]. Motivated by these experiments we propose an…

Superconductivity · Physics 2015-05-19 Zachary M. Raines , Valentin Stanev , Victor M. Galitski

Is it possible to increase Tc by constructing cuprate heterostructures, which combine the high pairing energy of underdoped layers with the large carrier density of proximate overdoped layers? We investigate this question within a model…

Superconductivity · Physics 2009-05-10 Lilach Goren , Ehud Altman

At the beginning of cuprate superconductors, the interlayer tunneling (ILT) and Lawrence-Doniach (L-D) models, which connect the CuO planes by Josephson coupling were considered the leading theoretical proposals for these materials.…

Superconductivity · Physics 2023-05-26 Hércules Santana , E. V. L. de Mello

The in-plane superexchange interaction $J$ of cuprate superconductors has long been suggested to be an important parameter for exploring their high-temperature superconductivity. The bilayer Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ is the most…