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We consider the Cooper-problem on a two-dimensional, square lattice with a uniform, perpendicular magnetic field. Only rational flux fractions are considered. An extended (real-space) Hubbard model including nearest and next nearest…

Superconductivity · Physics 2009-11-07 S. Mo , A. Sudbo

Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the…

Quantum Gases · Physics 2022-06-09 Krzysztof Giergiel , Ruben Lier , Piotr Surówka , Arkadiusz Kosior

Strong-coupling expansion is performed for the lattice phi^4 model in 1+1 dimensions. Because the strong-coupling limit itself is not solvable, we employed numerical calculations so as to set up unperturbed eigensystems. Restricting the…

Statistical Mechanics · Physics 2008-11-26 Yoshihiro Nishiyama

Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

We study the Holstein-Hubbard model at half filling to explore ordered phases including su- perconductivity (SC), antiferromagnetism (AF), and charge order (CO) in situations where the electron-electron and electron-phonon interactions are…

Strongly Correlated Electrons · Physics 2015-06-16 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We employ the cluster slave-spin method to investigate systematically the ground state properties of the Hubbard model on a square lattice with doping $\delta$ and coupling strength $U$ being its parameters. In addition to a crossover…

Strongly Correlated Electrons · Physics 2021-10-01 Ming-Huan Zeng , Tianxing Ma , Y. -J. Wang

The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the $SO(4)$ symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of…

Condensed Matter · Physics 2009-10-22 Alessandro Pelizzola

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2009-11-11 A. Sherman

We discuss the strong-coupling expansion in Euclidean field theory. In a formal representation for the Schwinger functional, we treat the off-diagonal terms of the Gaussian factor as a perturbation about the remaining terms of the…

High Energy Physics - Theory · Physics 2014-11-18 N. F. Svaiter

We determine the finite-temperature phase diagram of the square lattice hard-core boson Hubbard model with nearest neighbor repulsion using quantum Monte Carlo simulations. This model is equivalent to an anisotropic spin-1/2 XXZ model in a…

Superconductivity · Physics 2009-11-07 Guido Schmid , Synge Todo , Matthias Troyer , Ansgar Dorneich

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

The interactions between holes in the Hubbard model, in the low density, intermediate to strong coupling limit, are investigated by systematically improving mean field calculations. The Configuration Interaction basis set is constructed by…

Strongly Correlated Electrons · Physics 2009-10-31 E. Louis , F. Guinea , M. P. Lopez-Sancho , J. A. Verges

We introduce a set of generalized slave-particle models for extended Hubbard models that treat localized electronic correlations using slave-boson decompositions. Our models automatically include two slave-particle methods of recent…

Strongly Correlated Electrons · Physics 2015-12-16 Alexandru B. Georgescu , Sohrab Ismail-Beigi

We study the Bose-Hubbard and Fermi-Hubbard model in the limit of large coordination numbers Z (i.e., many tunnelling partners). Via a controlled expansion into powers of 1/Z, we establish a hierarchy of correlations, which facilitates an…

Quantum Physics · Physics 2012-08-02 Friedemann Queisser , Konstantin Krutitsky , Patrick Navez , Ralf Schützhold

We analyze the possible existence of a superconducting state in a background with long-range antiferromagnetism. We consider a generalized Hubbard model with nearest-neighbor correlated hopping in a square lattice. Near half filling, the…

Strongly Correlated Electrons · Physics 2009-09-25 Liliana Arrachea , A. A. Aligia

The one-dimensional Kondo lattice model is investigated by using bosonization techniques and conformal field theory. In the half-filled band, the charge and spin gaps open for the anti-ferromagnetic Kondo coupling. Away from half-filling,…

Condensed Matter · Physics 2009-10-22 S. Fujimoto , N. Kawakami

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…

In this paper, we analyze the quantum phases of multiple component Bose-Hubbard model in optical superlattices, using a mean-field method, the decoupling approximation. We find that the phase diagrams exhibit complected patterns and regions…

Quantum Gases · Physics 2013-05-29 Bo-Lun Chen , Su-Peng Kou , Yunbo Zhang , Shu Chen

We discuss the general formalism and validity of weak-coupling perturbation theory as an impurity solver for nonequilibrium dynamical mean-field theory. The method is implemented and tested in the Hubbard model, using expansions up to…

Strongly Correlated Electrons · Physics 2014-06-02 Naoto Tsuji , Philipp Werner
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