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Using an improved version of the projection quantum Monte Carlo technique, we study the square-lattice Hubbard model with nearest-neighbor hopping t and next-nearest-neighbor hopping t', by simulation of lattices with up to 20 X 20 sites.…

Condensed Matter · Physics 2009-10-28 R. Hlubina , S. Sorella , F. Guinea

We investigate the density instabilities present in the infinite-U Hubbard-Holstein model both at zero and finite momenta as well as the occurrence of Cooper instabilities with a specific emphasis on the role of long-range Coulomb forces.…

Condensed Matter · Physics 2016-08-31 F. Becca , M. Tarquini , M. Grilli , C. Di Castro

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

Using both the density-matrix renormalization group method and the constrained-path quantum Monte Carlo method, we have studied the ground-state energies and the spin and hole densities of a $12 \times 3$ Hubbard model with open boundary…

Strongly Correlated Electrons · Physics 2007-05-23 J. Bonca , J. E. Gubernatis , M. Guerrero , Eric Jeckelmann , Steven R. White

A study of the quasi-particle excitations and spin fluctuations in the one-band Hubbard-model on the triangular lattice with nearest- and next-nearest-neighbor hopping is presented. Using the fluctuation-exchange-approximation (FLEX)…

Strongly Correlated Electrons · Physics 2007-05-23 Marcus Renner , Wolfram Brenig

We employ the (dynamical) density matrix renormalization group technique to investigate the ground-state properties of the Bose-Hubbard model with nearest-neighbor transfer amplitudes t and local two-body and three-body repulsion of…

Quantum Gases · Physics 2015-06-17 S. Ejima , F. Lange , H. Fehske , F. Gebhard , K. zu Münster

A classical variant of the two-dimensional anisotropic Heisenberg model reproducing inelastic neutron scattering experiments on La_5 Ca_9 Cu_24 O_41 [M. Matsuda et al., Phys.Rev. B 68, 060406(R) (2003)] is analysed using mostly Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 R. Leidl , W. Selke

The Hubbard model extended by either nearest-neighbour Coulomb correlation and/or nearest neighbour Heisenberg exchange is solved analytically for a triangle and tetrahedron. All eigenvalues and eigenvectors are given as functions of the…

Strongly Correlated Electrons · Physics 2009-11-13 R. Schumann

Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many…

Strongly Correlated Electrons · Physics 2022-12-05 Seher Karakuzu , Andy Tanjaroon Ly , Peizhi Mai , James Neuhaus , Thomas A. Maier , Steven Johnston

We present a short account of the present experimental situation of stripes in cuprates followed by a review of our present understanding of their ground state and excited state properties. Collective modes, the dynamical structure factor,…

Strongly Correlated Electrons · Physics 2012-05-22 G. Seibold , M. Grilli , J. Lorenzana

We generalize the two-particle self-consistent approach (TPSC) to study the extended Hubbard model, where nearest-neighbor interaction is present in addition to the usual local screened interaction. Similarities and differences between the…

Strongly Correlated Electrons · Physics 2009-11-11 B. Davoudi , A. -M. S. Tremblay

Using an exact diagonalization method within the dynamical mean-field theory we study stripe phases in the two-dimensional Hubbard model. We find a crossover at doping $\delta\simeq 0.05$ from diagonal stripes to vertical site-centered…

Strongly Correlated Electrons · Physics 2009-10-31 M. Fleck , A. I. Lichtenstein , E. Pavarini , A. M. Oles

We argue that effective 1D models of stripes in the cuprate superconductors can be constructed by studying ground states and elementary excitations of domain walls in 2D model antiferromagnets. This method, applied to the t-J model with…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Tchernyshyov , Leonid P. Pryadko

We study the coarsening of two-dimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic Swift-Hohenberg equations. Close to onset, all models exhibit isotropic coarsening with a single characteristic…

Soft Condensed Matter · Physics 2009-11-13 J. R. Gomez-Solano , D. Boyer

We analyze the effect of intersite-interaction terms on the stability of the coexisting superconucting-nematic phase (SC+N) within the extended Hubbard and $t$-$J$-$U$ models on the square lattice. In order to take into account the…

Strongly Correlated Electrons · Physics 2018-08-01 Michał Zegrodnik , Józef Spałek

Competing orders represent a central challenge in understanding strongly correlated systems. In this work, we employ projector quantum Monte Carlo simulations to study a sign-problem-free bilayer extended Hubbard model. In this model, a…

Superconductivity · Physics 2025-10-29 Runyu Ma , Zenghui Fan , Hongxin Liu , Tianxing Ma , Hai-Qing Lin

The hole-doped standard and extended t-J models on ladders with anisotropic Heisenberg interactions are studied computationally in the interval $0.0 \leq \lambda \leq 1.0$ ($\lambda=0$, Ising; $\lambda=1$, Heisenberg). It is shown that the…

Strongly Correlated Electrons · Physics 2015-06-24 G. B. Martins , C. Gazza , E. Dagotto

A combination of analytical approaches and quantum Monte Carlo simulations is used to study both magnetic and pairing correlations for a version of the Hubbard model that includes second-neighbor hopping $t^{\prime }=-0.35t$ as a model for…

Condensed Matter · Physics 2016-08-15 Alain F. Veilleux , Anne-Marie Daré , Liang Chen , Y. M. Vilk , A. -M. S. Tremblay

We investigate the binding of holes and the emergence of competing spin-charge order in the simple and extended Hubbard model using exact diagonalization on the 3x4 cylindrical lattice. For the simple Hubbard model (V=0), we find weakly…

Strongly Correlated Electrons · Physics 2025-12-12 Md Fahad Equbal , M. A. H. Ahsan

Vortices in a narrow superconducting strip with a square array of pinning sites are studied. The interactions of vortices with other vortices and with external sources (applied magnetic field and transport current) are calculated via a…

Superconductivity · Physics 2009-11-07 Clécio C. de Souza Silva , Leonardo R. E. Cabral , J. Albino Aguiar