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Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

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

We demonstrate that the infinite-$U$ triangular-lattice Hubbard model supports a superconducting state built from tightly bound Cooper pairs composed of two holes and one magnon ($2h1m$). Building on the seminal prediction of repulsively…

Superconductivity · Physics 2026-02-09 Hantian Zhu , Yixin Zhang , Shang-Shun Zhang , Yang Zhang , Cristian D. Batista

Using a dynamical cluster quantum Monte Carlo approximation we investigate the d-wave superconducting transition temperature $T_c$ in the doped 2D repulsive Hubbard model with a weak inhomogeneity. The inhomogeneity is introduced in the…

Superconductivity · Physics 2009-11-13 D. G. S. P. Doluweera , A. Macridin , T. A. Maier , M. Jarrell , Th. Pruschke

By employing the density-matrix renormalization group method, we study an extended checkerboard Hubbard model on the two-leg ladder, which includes an intraplaquette nearest-neighbour attraction V. The simulated results show that V plays a…

Superconductivity · Physics 2025-10-21 Xichen Huang , Saisai He , Jize Zhao , Zhong-Bing Huang

The recent discovery of superconductivity under high pressure in the ladder compound BaFe$_2$S$_3$ has opened a new field of research in iron-based superconductors with focus on quasi one-dimensional geometries. In this publication, using…

Strongly Correlated Electrons · Physics 2017-08-09 N. D. Patel , A. Nocera , G. Alvarez , A. Moreo , E. Dagotto

Many theoretical approaches find d-wave superconductivity in the prototypical one-band Hubbard model for high-temperature superconductors. At strong-coupling (U > W, where U is the on-site repulsion and W=8t the bandwidth) pairing is…

Superconductivity · Physics 2013-10-09 D. Sénéchal , A. Day , V. Bouliane , A. -M. S. Tremblay

The two-dimensional (2D) Hubbard model is widely believed to capture key ingredients of high-$T_c$ superconductivity in cuprate materials. However, compelling evidence remains elusive. In particular, various magnetic orders may emerge as…

Strongly Correlated Electrons · Physics 2025-10-30 Changkai Zhang , Jheng-Wei Li , Jan von Delft

Demonstrating superconductivity in purely repulsive Hubbard models is a compelling goal which underscores the counter-intuitive ability of Coulomb interactions to mediate superconductivity. Here, we present numerical evidence for robust…

Strongly Correlated Electrons · Physics 2025-09-04 Clemens Kuhlenkamp , Stefan Divic , Michael P. Zaletel , Tomohiro Soejima , Ashvin Vishwanath

We study the ground state properties of the hole-doped three-band Hubbard (Emery) model, describing the copper-oxygen planes of the cuprates, using large-scale 2D tensor network calculations. Our simulations reveal a period 4 stripe state…

Strongly Correlated Electrons · Physics 2023-11-29 Boris Ponsioen , Sangwoo S. Chung , Philippe Corboz

We apply an exact diagonalization method to the the infinite-D two-band Hubbard model. The method is essentially exact for the calculation of thermodynamic properties for all but the smallest frequencies and yields a resolution unavailable…

Condensed Matter · Physics 2007-05-23 Werner Krauth , Michel Caffarel

The ferromagnetism of the checkerboard lattice Hubbard model at quarter filling is one of the few exact ferromagnetic ground states known in the family of Hubbard models. When the nearest neighbor hopping, t1, is negligible compared with…

Superconductivity · Physics 2012-11-16 Yuki Yanagi , Yasufumi Yamashita , Kazuo Ueda

Magnetic and charge susceptibilities of the two-dimensional repulsive Hubbard model are investigated applying a strong coupling diagram technique in which the expansion in powers of the hopping constants is used. For small lattices and high…

Strongly Correlated Electrons · Physics 2009-11-13 A Sherman , M Schreiber

By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping $\delta=1/8$, with both nearest- ($t$) and…

Strongly Correlated Electrons · Physics 2022-06-06 Vito Marino , Federico Becca , Luca F. Tocchio

Recent scanning tunneling microscopy measurements on cuprate superconductors have revealed remarkable spatial inhomogeneities in the single-particle energy gap. Using cellular dynamical mean-field theory, we study the zero temperature…

Strongly Correlated Electrons · Physics 2015-05-19 Satoshi Okamoto , Thomas A. Maier

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

It is shown, using asymptotically exact methods, that the two dimensional repulsive Hubbard model with strongly modulated interactions exhibits ``high temperature superconductivity". Specifically, the explicit modulation, which has the same…

Strongly Correlated Electrons · Physics 2009-11-10 E. Arrigoni , E. Fradkin , S. A. Kivelson

An exact analytical diagonalization is used to solve the two dimensional Extended Hubbard Model for system with finite size. We have considered an Extended Hubbard Model (EHM) including on-site and off-site interactions with interaction…

Statistical Mechanics · Physics 2015-06-03 S. Harir , M. Bennai , Y. Boughaleb

The charge susceptibility of the two-dimensional repulsive Hubbard model is investigated using the diagram technique developed for the case of strong correlations. In this technique, a power series in the hopping constant is used. It is…

Strongly Correlated Electrons · Physics 2009-11-13 A. Sherman , M. Schreiber

We perform the finite-temperature determinant quantum Monte Carlo simulation for the attractive Hubbard model on the half-filled bilayer square lattice. Recent progress on optical lattice experiments lead us to investigate various…

Strongly Correlated Electrons · Physics 2022-11-22 Yogeshwar Prasad