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We study the phase diagram at finite temperature of a system of Fermi particles on the sites of the Bethe lattice with coordination number z and interacting through onsite U and nearest-neighbor V interactions. This is a physical…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini , A. Naddeo

We consider the extended Hubbard model with attractive on-site interaction U and nearest-neighbor repulsions V. We construct an effective Hamiltonian H_{eff} for hopping t<<V and arbitrary U<0. Retaining the most important terms, H_{eff}…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia

We have studied the extended Hubbard model in the atomic limit. The Hamiltonian analyzed consists of the effective on-site interaction U and the intersite density-density interactions Wij (both: nearest-neighbour and…

Strongly Correlated Electrons · Physics 2015-03-17 Konrad Kapcia , Stanisław Robaszkiewicz

We present the exact solution of a system of Fermi particles living on the sites of a Bethe lattice with coordination number z and interacting through on-site U and nearest-neighbor V interactions. This is a physical realization of the…

Strongly Correlated Electrons · Physics 2010-03-09 F. Mancini , F. P. Mancini

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing correlation function, $P_s$. These quantities have…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar , P. J. H. Denteneer

The phase diagram of the attractive Hubbard model with spatially inhomogeneous interactions is obtained using a single site dynamical mean field theory like approach. The model is characterized by three parameters: the interaction strength,…

Superconductivity · Physics 2009-11-13 Vijay B. Shenoy

We contrast the transport properties (dc resistivity, Seebeck coefficient), optical conductivity, spectral functions, dynamical magnetic susceptibility, and the NMR $1/T_1$ spin-lattice relaxation rate of the repulsive and attractive…

Strongly Correlated Electrons · Physics 2017-10-02 Rok Zitko , Ziga Osolin , Peter Jeglic

Within the Green's function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact solution of the one-dimensional extended…

Strongly Correlated Electrons · Physics 2009-04-24 F. Mancini , F. P. Mancini

We study the influence of an external magnetic field h on the phase diagram of a system of Fermi particles living on the sites of a Bethe lattice with coordination number z and interacting through on-site U and nearest-neighbor V…

Strongly Correlated Electrons · Physics 2010-06-08 F. P. Mancini

We present the exact solution of the one-dimensional extended Hubbard model in the atomic limit within the Green's function and equation of motion formalism. We provide a comprehensive and systematic analysis of the model by considering all…

Strongly Correlated Electrons · Physics 2008-07-25 F. Mancini , F. P. Mancini

We consider the Bose-Hubbard model of atoms in an optical lattice potential when the atom-atom interactions are attractive. If the lowest energy lattice sites are degenerate (such as in the homogeneous case), then, at a critical value of…

Statistical Mechanics · Physics 2009-11-11 Michael W. Jack , Makoto Yamashita

We revisit the one-dimensional attractive Hubbard model by using the Bethe-ansatz based density-functional theory and density-matrix renormalization method. The ground-state properties of this model are discussed in details for different…

We have studied a simple effective model of charge ordered insulators. The tight binding Hamiltonian consists of the effective on-site interaction U and the intersite density-density interaction Wij (both: nearest-neighbor and…

Strongly Correlated Electrons · Physics 2023-07-19 Konrad Kapcia , Stanisław Robaszkiewicz

We study the phase diagram for the attractive ({\it i.e.,} negative-$U$) Hubbard model on a simple cubic lattice, through Monte Carlo simulations. We obtain the critical temperature, $T_c$, for superconductivity from a finite-size scaling…

Condensed Matter · Physics 2007-05-23 Raimundo R dos Santos

We investigate the attractive Hubbard model in infinite spatial dimensions by combining dynamical mean-field theory with a strong-coupling continuous-time quantum Monte Carlo method. By calculating the superfluid order parameter and the…

Quantum Gases · Physics 2011-09-30 Akihisa Koga , Philipp Werner

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

The superfluid properties of the attractive Hubbard model in a Zeeman magnetic field, and in the weak coupling regime have been investigated. The temperature and magnetic field dependencies of the order parameter have been analyzed.…

Strongly Correlated Electrons · Physics 2008-08-13 Agnieszka Kujawa , Roman Micnas

We study the phase diagram of the one dimensional (1D) $U-V$ model at quarter filling in the most general case where the on-site and first-neighbour interactions $U$ and $V$ can be both attractive and repulsive. The results have been…

Condensed Matter · Physics 2009-10-22 Karlo Penc , Frederic Mila

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier…

Quantum Gases · Physics 2021-08-12 Stuart Flannigan , Luisa Madail , Ricardo G. Dias , Andrew J. Daley
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