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In this work, we study the t-J model using a two-pole approximation within the composite operator method. We choose a basis of two composite operators -- the constrained electrons and their spin-fluctuation dressing -- and approximate their…

Strongly Correlated Electrons · Physics 2021-12-21 Amir Eskandari-asl , Adolfo Avella

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at…

Strongly Correlated Electrons · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

The two-layer Hubbard model is studied by using the composite operator method. Magnetic properties of the model in the normal state are analyzed by studying the uniform static spin magnetic susceptibility as a function of doping and…

Strongly Correlated Electrons · Physics 2009-10-31 Ferdinando Mancini , Volodymyr Turkowski

The representation of the Hubbard operators in terms of the spin$-\frac{1}{2}$ operators and the fermion operator with spin$-\frac{1}{2}$ is proposed. In the low-energy limit this representation is reduced to the representation following…

Condensed Matter · Physics 2007-05-23 V. I. Belinicher , A. L. Chernyshev

The one-dimensional Hubbard model at half-filling is studied in the framework of the Composite Operator Method using a static approximation. A solution characterized by strong antiferromagnetic correlations and a gap for any nonzero on-site…

Strongly Correlated Electrons · Physics 2007-05-23 M. M. Sanchez , A. Avella , F. Mancini

We propose a scheme for investigating the quantum dynamics of interacting electron models by means of time-dependent variational principle and spin coherent states of space lattice operators. We apply such a scheme to the one-dimensional…

Superconductivity · Physics 2009-10-31 Arianna Montorsi , Vittorio Penna

We find the singular transformation between the electron operator and the pseudoparticle operators for the Hubbard chain. We generalize the concept of quasiparticle to one-dimensional electronic systems which in 1D refers to…

Condensed Matter · Physics 2007-05-23 J. M. P. Carmelo , A. H. Castro Neto , N. M. R. Peres

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

The Hubbard model on a two-leg ladder structure has been studied by a combination of series expansions at T=0 and the density-matrix renormalization group. We report results for the ground state energy $E_0$ and spin-gap $\Delta_s$ at…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa , C. J. Hamer , R. J. Bursill

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

The ground-state phase diagrams of the three-orbital t2g Hubbard model are studied using a Hartree-Fock approximation. First, a complete set of multipolar order parameters for t2g models defined in terms of the effective total angular…

Strongly Correlated Electrons · Physics 2022-01-05 Naoya Chikano , Shintaro Hoshino , Hiroshi Shinaoka

In this work we study the two-orbital Hubbard model on a square lattice in the presence of hybridization between nearest-neighbor orbitals and a crystal-field splitting. We use a highly reliable numerical technique based on the density…

Strongly Correlated Electrons · Physics 2021-01-15 Y. Nunez-Fernandez , K. Hallberg

We prove that the two dimensional Hubbard model at finite temperature T and half-filling is analytic in the coupling constant in a radius at least $c/(\log T)^2$. We also study the self-energy through a new two-particle irreducible…

Strongly Correlated Electrons · Physics 2009-11-10 Stephane Afchain , Jacques Magnen , Vincent Rivasseau

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

The one-dimensional Hubbard model with different on-site interactions is investigated by renormalization group technique. In the case of a 1/4-filled band the dynamical nonequivalence of sites leads to the appearance of Umklapp processes in…

Strongly Correlated Electrons · Physics 2015-06-25 G. Jackeli , G. Japaridze

We study a system of polar dipolar fermions in a two-dimensional optical lattice and show that multi-band Fermi-Hubbard model is necessary to discuss such system. By taking into account both on-site, and long-range interactions between…

Quantum Gases · Physics 2015-06-04 O. Dutta , T. Sowiński , M. Lewenstein

Using group theoretical and numerical methods we have calculated the exact energy spectrum of the two-dimensional Hubbard model on square lattices with four electrons for a wide range of the interaction strength. All known symmetries, i.e.\…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Jean-Christian Angles d'Auriac

The two-dimensional Hubbard model is studied within the Composite Operator Method (COM) with the residual self-energy computed in the Self-Consistent Born Approximation (SCBA). COM describes interacting electrons in terms of the new…

Strongly Correlated Electrons · Physics 2007-06-20 Adolfo Avella , Ferdinando Mancini

Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an…

We investigate the two-orbital Hubbard model in infinite dimensions by means of the self-energy functional method. By calculating the entropy, susceptibility, and quasi-particle weight at zero temperature, we determine the phase diagram for…

Strongly Correlated Electrons · Physics 2007-05-23 Kensuke Inaba Akihisa Koga