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Understanding the physics of the two-dimensional Hubbard model is widely believed to be a key step in achieving a full understanding of high-$T_\mathrm{c}$ cuprate superconductors. In recent years, progress has been made by large-scale…

Strongly Correlated Electrons · Physics 2025-09-29 Tizian Blatz , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

We study the square-lattice extended Hubbard model with on-site $U$ and nearest-neighbor $V$ interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries,…

Superconductivity · Physics 2023-08-21 Wei-Chih Chen , Yao Wang , Cheng-Chien Chen

The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge in the realm of condensed matter physics. Recent findings of strong near-neighbor attractions in one-dimensional cuprate chains suggest a new…

Superconductivity · Physics 2024-01-17 Zhipeng Sun , Hai-Qing Lin

We consider an extended Hubbard model with nearest-neighbor correlated hopping and next nearest-neighbor hopping t' obtained as an effective model for cuprate superconductors. Using a generalized Hartree-Fock BCS approximation, we find that…

Superconductivity · Physics 2009-10-31 Liliana Arrachea , A. A. Aligia

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 study the competition between stripe states with different periods and a uniform $d$-wave superconducting state in the extended 2D Hubbard model at 1/8 hole doping using infinite projected entangled-pair states (iPEPS). With increasing…

Strongly Correlated Electrons · Physics 2019-12-04 Boris Ponsioen , Sangwoo S. Chung , Philippe Corboz

Doped Hubbard model is a simple model for the high-Tc cuprate superconductors, while its ground state remains a challenge. Here, by performing state-of-the-art variational Monte Carlo calculations for the strong-coupling Hubbard model, we…

Strongly Correlated Electrons · Physics 2014-10-02 Takahiro Misawa , Masatoshi Imada

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 report the results of exact diagonalization studies of Hubbard models on a $4\times 4$ square lattice with periodic boundary conditions and various degrees and patterns of inhomogeneity, which are represented by inequivalent hopping…

Superconductivity · Physics 2009-11-13 Wei-Feng Tsai , Hong Yao , Andreas Laeuchli , Steven A. Kivelson

Using dynamic cluster quantum Monte Carlo simulations, we study the superconducting behavior of a 1/8 doped two-dimensional Hubbard model with imposed uni-directional stripe-like charge density wave modulation. We find a significant…

Superconductivity · Physics 2015-05-14 T. A. Maier , G. Alvarez , M. Summers , T. C. Schulthess

Broad interest in quantum spin liquid (QSL) phases was triggered by the notion that they can be viewed as insulating phases with preexisting electron-pairs, such that upon light doping they might automatically yield superconductivity. Yet…

Strongly Correlated Electrons · Physics 2021-08-23 Hong-Chen Jiang

The long-studied Hubbard model is one of the simplest models of copper-oxide superconductors. However, the connection between the model and the experimental phase diagram is still under debate, in particular regarding the existence and…

Strongly Correlated Electrons · Physics 2018-11-21 Andrew S. Darmawan , Yusuke Nomura , Youhei Yamaji , Masatoshi Imada

We compare the one-loop renormalization group flow to strong coupling of the electronic interactions in the two-dimensional t-t'-Hubbard model with t'=-0.3t for band fillings smaller and larger than half-filling. Using a numerical N-patch…

Strongly Correlated Electrons · Physics 2009-11-07 Carsten Honerkamp

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

The recent discovery of superconductivity in infinite-layer nickelates has drawn considerable attention; however, a consensus on the fundamental building blocks and common ingredients necessary to understand and describe their ground states…

Strongly Correlated Electrons · Physics 2023-12-07 Cheng Peng , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux , Chunjing Jia

The next-nearest-neighbour hopping term t' is shown to stabilize the AF state of the doped Hubbard model with respect to transverse perturbations in the order- parameter by strongly suppressing the intraband particle-hole processes. For a…

Strongly Correlated Electrons · Physics 2009-11-07 Avinash Singh , Haranath Ghosh

The Hubbard and closely related $t\text-J$ models are exciting platforms for unconventional superconductivity (SC). Through state-of-the-art density matrix renormalization group calculations using the grand canonical ensemble, we address…

Superconductivity · Physics 2025-03-28 Feng Chen , F. D. M. Haldane , D. N. Sheng

Extensive numerical studies have demonstrated that the two-dimensional single-band Hubbard model contains much of the key physics in cuprate high-temperature superconductors. However, there is no definitive proof that the Hubbard model…

Superconductivity · Physics 2011-09-14 C. J. Jia , B. Moritz , C. -C. Chen , B. Sriram Shastry , T. P. Devereaux

With the discovery of strong coupling physics and superconductivity in Moir\'e superlattices, it's essential to have an understanding of strong coupling driven superconductivity in systems with trigonal symmetry. The simplest lattice model…

Superconductivity · Physics 2019-09-04 Jordan Venderley , E. A. Kim