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We compute the correlation functions for antiferromagnetic and d-wave superconducting fermion bilinears in a generalized mean field type approximation for the Hubbard model. For high temperature our explicit expressions show that…

Strongly Correlated Electrons · Physics 2007-05-23 Tobias Baier , Eike Bick , Christof Wetterich

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

The two-orbital Hubbard model with the Hund coupling is investigated in a metallic phase close to the Mott insulator. We calculate the one-particle spectral function and the optical conductivity within dynamical mean field theory, for which…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

The Hubbard model, first formulated by physicist John Hubbard in the 1960s, is a simple theoretical model of interacting quantum particles in a lattice. The model is thought to capture the essential physics of high-temperature…

We present results for the equation of state of the two-dimensional Hubbard model on an isotropic square lattice as obtained from a controlled and numerically exact large-cluster dynamical mean field simulation. Our results are obtained for…

Strongly Correlated Electrons · Physics 2013-12-11 J. P. F. LeBlanc , Emanuel Gull

We present results on thermodynamic quantities, resistivity and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an…

Condensed Matter · Physics 2009-10-22 Th. Pruschke , D. L. Cox , M. Jarrell

Presented in this paper is a derivation of a 2D catalytic reaction-based model to solve combinatorial optimization problems (COPs). The simulated catalytic reactions, a computational metaphor, occurs in an artificial chemical reactor that…

Emerging Technologies · Computer Science 2015-07-01 Jaderick P. Pabico

One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is…

Strongly Correlated Electrons · Physics 2022-11-03 Karim Zantout , Steffen Backes , Roser Valenti

The strong coupling diagram technique is used for investigating states near the metal-insulator transition in the half-filled two-dimensional repulsive Hubbard model. The nonlocal third-order term is included in the irreducible part along…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

Quantum Monte Carlo and semiclassical methods are used to solve two and four site cluster dynamical mean field approximations to the square lattice Hubbard model at half filling and strong coupling. The energy, spin correlation function,…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Fuhrmann , Satoshi Okamoto , Hartmut Monien , Andrew J. Millis

A two-dimensional spin-up ideal Fermi gas interacting attractively with a spin-down impurity in the continuum undergoes, at zero temperature, a first-order phase transition from a polaron to a dimeron state. Here we study a similar system…

Strongly Correlated Electrons · Physics 2025-09-16 Gerard Pascual , Jordi Boronat , Kris Van Houcke

The compressibility of an extended $d-p$ Hubbard model is investigated by the Roth's two-pole approximation. Using the factorization procedure proposed by Beenen and Edwards, superconductivity with singlet $d_{x^2-y^2}$-wave pairing is also…

Strongly Correlated Electrons · Physics 2009-11-11 E. J. Calegari , S. G. Magalhães , A A. Gomes

We report on the result of quantum Monte Carlo simulation of quasi-one-dimensional electron systems at 1/4-filling, considering organic superconductors such as TMTSF- and TMTTF-salts. We focus on the effect of dimensionality (interchain…

Strongly Correlated Electrons · Physics 2009-11-13 Tohru Aonuma , Yuki Fuseya , Masao Ogata

We generalize the linear discrete dimensional scaling approach for the repulsive Hubbard model to obtain a nonlinear scaling relation that yields accurate approximations to the ground-state energy in both two and three dimensions, as judged…

Strongly Correlated Electrons · Physics 2019-09-04 Luana N. O. Vilela , Klaus Capelle , Luiz N. Oliveira , Vivaldo L. Campo

Quasicrystals are long-range ordered, yet not periodic, and thereby present a fascinating challenge for condensed matter physics, as one cannot resort to the usual toolbox based on Bloch's theorem. Here, we present a numerical method for…

Disordered Systems and Neural Networks · Physics 2023-04-18 Emmanuel Gottlob , Ulrich Schneider

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

We consider a generalized Hubbard model with on-site and nearest-neighbour repulsions U and V respectively, and nearest-neighbour hopping for spin up (down) which depends on the total occupation n_b of spin down (up) electrons on both sites…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , E. Gagliano , Liliana Arrachea , K. Hallberg

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

In the strong electron-electron (e-e) interaction limit each atomic site is constrained to be either empty or singly occupied. One can treat this scenario by fractionalizing the electrons into spin and charge degrees of freedom. We use the…

Strongly Correlated Electrons · Physics 2025-05-13 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

We present a review of the Quantum Monte Carlo results on the magnetic, charge and single-particle excitations as well as the pairing correlations of the two-dimensional Hubbard model. We are particularly interested in how these quantities…

Condensed Matter · Physics 2007-05-23 N. Bulut
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