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The variational cluster approximation is used to study the frustrated Hubbard model at half filling defined on the two-dimensional square lattice with anisotropic next-nearest-neighbor hopping parameters. We calculate the ground-state phase…

Strongly Correlated Electrons · Physics 2017-02-02 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

Two-dimensional density-matrix renormalization group method is employed to examine the ground state phase diagram of the Hubbard model on the triangular lattice at half filling. The calculation reveals two discontinuities in the double…

Strongly Correlated Electrons · Physics 2017-11-20 Tomonori Shirakawa , Takami Tohyama , Jure Kokalj , Shigetoshi Sota , Seiji Yunoki

We determine the ground-state phase diagram of the three-band Hubbard model across a range of model parameters using density matrix embedding theory. We study the atomic-scale nature of the antiferromagnetic (AFM) and superconducting (SC)…

Strongly Correlated Electrons · Physics 2020-12-01 Zhi-Hao Cui , Chong Sun , Ushnish Ray , Bo-Xiao Zheng , Qiming Sun , Garnet Kin-Lic Chan

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 ground-state phase diagram of the asymmetric Hubbard model is studied in one and two dimensions by a well-controlled numerical method. The method allows to calculate directly the probabilities of particular phases in the approximate…

Strongly Correlated Electrons · Physics 2009-11-13 Pavol Farkasovsky

We obtain a complete and exact in the weak-coupling limit ($U \rightarrow 0$) ground state phase diagram of the repulsive fermionic Hubbard model on the square lattice for filling factors $0 < n < 2$ and next-nearest-neighbour hopping…

Strongly Correlated Electrons · Physics 2016-08-10 Fedor Simkovic , Xuan-Wen Liu , Youjin Deng , Evgeny Kozik

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

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

Groundstate magnetism of the one-band Hubbard model on the frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling are revisited within mean field approximation.…

Strongly Correlated Electrons · Physics 2021-07-06 Ze Ruan , Xiu-Cai Jiang , Ze-Yi Song , Yu-Zhong Zhang

We study an extended Hubbard model with on-site repulsion and nearest neighbors attraction which tries to mimic some of the experimental features of doped cuprates in the superconducting state. We draw and discuss the phase diagram as a…

Superconductivity · Physics 2009-10-31 J. Ferrer , J. Sánchez-Cañizares , M. A. González-Alvarez

Using quantum Monte Carlo simulations, results of a strong-coupling expansion, and Luttinger liquid theory, we determine quantitatively the ground state phase diagram of the one-dimensional extended Hubbard model with on-site and…

Strongly Correlated Electrons · Physics 2009-11-10 A. W. Sandvik , L. Balents , D. K. Campbell

We investigate the ground-state phase diagram of the soft-core Bose-Hubbard model with the nearest-neighbor repulsion on a square lattice by using an unbiased quantum Monte Carlo method. In contrast to the previous study[P. Sengupta {\it…

Quantum Gases · Physics 2012-08-29 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima

We have studied the ground state properties of Hubbard model on long six-leg square cylinders with doped hole concentration per site $5.55\% \leq \delta\leq 12.5\%$ using density-matrix renormalization group. By keeping a large number of…

Strongly Correlated Electrons · Physics 2023-03-29 Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

We study ground-state properties in a hard-core Bose-Hubbard model on a layered triangular lattice. Combining cluster mean-field theory with the density matrix renormalization group method, we discuss the effect of the interlayer coupling…

Quantum Gases · Physics 2014-06-06 Ryota Suzuki , Akihisa Koga

The paper examines part of the ground state diagram of the extended Hubbard model, with the on-site attraction U<0 and intersite repulsion W>0 in the presence of charge density waves, superconducting and $\eta$-superconducting order…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bak

We study the ground state properties of the Hubbard model on a 4-leg cylinder with doped hole concentration per site $\delta\leq 12.5\%$ using density-matrix renormalization group. By keeping a large number of states for long system sizes,…

Strongly Correlated Electrons · Physics 2020-07-22 Yi-Fan Jiang , Jan Zaanen , Thomas P. Devereaux , Hong-Chen Jiang

The phase diagrams and superconducting properties of the extended Hubbard model with pair hopping interaction, i.e. the Penson-Kolb-Hubbard model are studied. The analysis of the model is performed for d-dimensional hypercubic lattices,…

Superconductivity · Physics 2009-10-31 Stanislaw Robaszkiewicz , Bogdan R. Bulka

We study the ground state phase diagram of the hard-core extended boson Hubbard model on the square lattice with both nearest- (nn) and next-nearest-neighbor (nnn) hopping and repulsion, using Gutzwiller mean field theory and quantum Monte…

Strongly Correlated Electrons · Physics 2008-02-01 Yu-Chun Chen , Roger G. Melko , Stefan Wessel , Ying-Jer Kao

We have studied a one dimensional Hubbard superlattice with different Coulomb correlations at alternating sites for a half-filled band. Mean field calculations based on the Hartree-Fock approximation together with a real space…

Strongly Correlated Electrons · Physics 2009-11-13 Jayeeta Chowdhury , S. N. Karmakar , Bibhas Bhattacharyya

Whether the ground state of the square lattice Hubbard model exhibits superconductivity remains a major open question, central to understanding high temperature cuprate superconductors and ultra-cold fermions in optical lattices. Numerical…

Superconductivity · Physics 2025-11-13 Christopher Roth , Ao Chen , Anirvan Sengupta , Antoine Georges
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