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We have made a variational analysis on an evolution of superconductivity from weak to strong coupling regime. In contrast to a crossover without thermodynamic anomaly found in a dilute system, we show the existence of a quantum phase…

Superconductivity · Physics 2007-05-23 S. Saito , H. Yoshimoto , Y. Y. Suzuki , S. Kurihara

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

The Hubbard-Holstein model is one of the central models that describe the competition between electron-electron and electron-phonon interactions. In one dimension and at half-filling, the interplay between an electronic spin-density wave…

Strongly Correlated Electrons · Physics 2024-12-19 Manuel Weber

We study the twisted Hubbard model of a cuprate bilayer at a fixed twist angle $\theta=53.13^{\circ}$ using the variational cluster approximation, a method that treats short-range dynamical correlations exactly. At intermediate interlayer…

Strongly Correlated Electrons · Physics 2022-07-13 Xiancong Lu , David Sénéchal

The ground state phase diagram of the half-filled repulsive Hubbard model in a bilayer is investigated using cluster dynamical mean field theory. For weak to intermediate values of Coulomb repulsion $U$, the system undergoes a transition…

Strongly Correlated Electrons · Physics 2009-11-13 S. S. Kancharla , S. Okamoto

Motivated by the recent discovery of superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$ (LNO) under pressure, we study a mixed-dimensional (mixD) bilayer $t_\parallel$-$J_\parallel$-$J_\perp$ model, which has been proposed as an…

Strongly Correlated Electrons · Physics 2026-02-11 Hannah Lange , Ao Chen , Antoine Georges , Fabian Grusdt , Annabelle Bohrdt , Christopher Roth

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

Superconductivity in strongly correlated systems is a remarkable phenomenon that attracts a huge interest. The study of this problem is relevant for materials as the high $T_c$ oxides, pnictides and heavy fermions. These systems also have…

Superconductivity · Physics 2018-01-23 D. Reyes , M. A. Continentino , F. Deus , C. Thomas

We utilize the fluctuation-exchange approximation on a bilayer two-orbital model, incorporating $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, to explore potential pairing symmetries in the bilayer nickelate La$_3$Ni$_2$O$_7$. Our study particularly…

Superconductivity · Physics 2025-03-20 Wenhan Xi , Shun-Li Yu , Jian-Xin Li

We investigate the ground-state phase diagram of the Hubbard model for the AB$_{N-1}$ chain with filling 1/N, where $N$ is the number of atoms per unit cell. In the strong-coupling limit, a charge transition takes place from a band…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Torio , A. A. Aligia , G. I. Japaridze , B. Normand

In this article we study superconductor-insulator transitions within the general framework of an attractive Hubbard model. This is a well-defined model of s-wave superconductivity which permits different tuning parameters (disorder and…

Superconductivity · Physics 2013-09-19 Yen Lee Loh , Nandini Trivedi

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 study the effect of density-assisted hopping on different dimerized lattice geometries, such as bilayers and ladder structures. We show analytically that the density-assisted hopping induces an attractive interaction in the lower…

Strongly Correlated Electrons · Physics 2026-03-10 Franco T. Lisandrini , Edmond Orignac , Roberta Citro , Ameneh Sheikhan , Corinna Kollath

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

The recent discovery of high-temperature superconductivity in La$_3$Ni$_2$O$_7$ offers a fresh platform for exploring unconventional pairing mechanisms. Starting with the basic argument that the electrons in $d_{z^2}$ orbitals nearly form…

Strongly Correlated Electrons · Physics 2024-09-24 Jia-Xin Zhang , Hao-Kai Zhang , Yi-Zhuang You , Zheng-Yu Weng

We present a controlled perturbative approach to the low temperature phase diagram of highly inhomogeneous Hubbard models in the limit of small coupling, $t'$, between clusters. We apply this to the dimerized and checkerboard models. The…

Strongly Correlated Electrons · Physics 2009-11-11 Wei-Feng Tsai , Steven A. Kivelson

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

By constructing an effective model based on recently calculated \emph{ab }initio bare interaction parameters, we study the phase diagram of alkali doped fullerides as a function of temperature and internal pressure. We use a slave-rotor…

Strongly Correlated Electrons · Physics 2019-10-08 Theja N. De Silva

Real-time dynamics techniques have proven increasingly useful in understanding strongly correlated systems both theoretically and experimentally. By employing unbiased time-resolved exact diagonalization, we study pump dynamics in the…

Strongly Correlated Electrons · Physics 2022-01-17 Yuxi Zhang , Rubem Mondaini , Richard T. Scalettar