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Using a strong-coupling approach, we show that staggered current vorticity does not obtain in the repulsive 2D Hubbard model for large on-site Coulomb interactions, as in the case of the copper oxide superconductors. This trend also…

Strongly Correlated Electrons · Physics 2009-11-07 Tudor D. Stanescu , Philip Phillips

We investigate the impact of site dilution by setting the on-site repulsion strength ($U$) to zero at a fraction of sites in the half-filled Hubbard model on a simple cubic lattice. We employ a semi-classical Monte-Carlo approach first to…

Strongly Correlated Electrons · Physics 2022-09-14 Sourav Chakraborty , Anamitra Mukherjee , Kalpataru Pradhan

We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction $U$ for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth $W$, we compare our…

Strongly Correlated Electrons · Physics 2009-11-10 Florian Gebhard , Eric Jeckelmann , Sandra Mahlert , Satoshi Nishimoto , Reinhard M. Noack

The slave boson mean-field studies of the ground state of the Hubbard model with correlated hopping were performed. The approach qualitatively recovers the exact results for the case of the hopping integral t equal to the correlated hopping…

Superconductivity · Physics 2009-10-30 Bogdan R. Bulka

Using quantum field theory and bosonization, we determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction $X$ in addition to the usual Coulomb repulsion $U$ at half-filling, for small values of…

Strongly Correlated Electrons · Physics 2010-11-30 A. O. Dobry , A. A. Aligia

Recently a new phenomenological Hamiltonian was proposed to describe the superconducting cuprates in which correlations and on-site Coulomb repulsion are introduced by partial Gutzwiller projection. This Gossamer Hamiltonian has an exact…

Strongly Correlated Electrons · Physics 2007-05-23 Bogdan A. Bernevig , George Chapline , Robert B. Laughlin , Zaira Nazario , David I. Santiago

In this work we introduce one dimensional multi-component Hubbard model of 1/r hopping and U on-site energy. The wavefunctions, the spectrum and the thermodynamics are studied for this model in the strong interaction limit $U=\infty$. In…

Condensed Matter · Physics 2009-10-22 D. F. Wang

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

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 investigate the ground state properties of the two dimensional half-filled one band Hubbard model in the strong (large-U) to intermediate coupling limit ({\it i.e.} away from the strict Heisenberg limit) using an effective spin-only…

Strongly Correlated Electrons · Physics 2007-05-23 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

Whether in the thermodynamic limit of lattice length infinite, hole concentration tending to zero, nonzero temperature, and U/t > 0 the charge stiffness of the 1D Hubbard model with first neighbor transfer integral t and on-site repulsion U…

Strongly Correlated Electrons · Physics 2018-04-18 J. M. P. Carmelo , S. Nemati , T. Prosen

We study the extended Hubbard model with both on-site and nearest neighbor Coulomb repulsion ($U$ and $V$, respectively) in the Dynamical Mean Field theory. At quarter filling, the model shows a transition to a charge ordered phase with…

Strongly Correlated Electrons · Physics 2009-10-31 R. Pietig , R. Bulla , S. Blawid

We have completed a numerical investigation of the Anderson-Hubbard model for three-dimensional simple cubic lattices using a real-space self-consistent Hartree-Fock decoupling approximation for the Hubbard interaction. In this formulation…

Strongly Correlated Electrons · Physics 2015-05-13 X. Chen , R. J. Gooding

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

We study a one-dimensional model of interacting conduction electrons with a two-fold degenerate band away from half filling. The interaction includes an on-site Coulomb repulsion and Hund's rule coupling. We show that such one-dimensional…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. M. Tsvelik

By combining fermion Quantum Monte Carlo (QMC) simulations with diagrammatic theory, we have calculated the dielectric screening and the screened potential, in a quasi 2D Hubbard model for cuprate superconductors with and without 1/r…

Strongly Correlated Electrons · Physics 2007-05-23 H. -B. Schüttler , C. Gröber , H. G. Evertz , W. Hanke

The atomistic Hubbard interaction U, representing the on-site Coulomb repulsion, serves as a pivotal parameter in theoretical models describing of correlated systems, yet its precise experimental determination especially in moir\'e systems…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Nachiket Tanksale , Tobias Stauber

We study the weak-coupling limit of the $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using a direct perturbative approach. Aided by symbolic computational tools, we compute the longitudinal density-density correlation…

Strongly Correlated Electrons · Physics 2022-08-10 B. D. E. McNiven , Hanna Terletska , G. T. Andrews , J. P. F. LeBlanc

The electronic states of the two-dimensional Hubbard model are investigated by means of a 4-pole approximation within the Composite Operator Method. In addition to the conventional Hubbard operators, we consider other two operators which…

Strongly Correlated Electrons · Physics 2007-05-23 Satoru Odashima , Adolfo Avella , Ferdinando Mancini

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