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A general class of hopping models on a finite bipartite lattice is considered, including the Hubbard model and the Falicov-Kimball model. For the half-filled band, the single-particle density matrix $\uprho (x,y)$ in the ground state and in…

Condensed Matter · Physics 2009-10-22 E. H. Lieb , M. Loss , R. J. McCann

We study integrable models for electrons in metals when the single particle spectrum is discrete. The electron-electron interactions are BCS-like pairing, Coulomb repulsion, and spin exchange coupling. These couplings are, in general,…

Superconductivity · Physics 2011-07-19 Luigi Amico , Antonio Di Lorenzo , Andreas Osterloh

We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the ground state displays phase separation away from half-filling.…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

The Hubbard model is used to study an electronic system. In this paper we present the new path integral representation for Hubbard model. We have constructed the new supercoherent state which appears from a set of eigenfunctions of atomic…

Strongly Correlated Electrons · Physics 2010-02-17 V. Zharkov , S. Kirchanov

We present recent theoretical results on superconductivity in correlated-electron systems, especially in the two-dimensional Hubbard model and the three-band d-p model. The mechanism of superconductivity in high-temperature superconductors…

Strongly Correlated Electrons · Physics 2013-07-10 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

An integrable Kondo problem in the one-dimensional supersymmetric extended Hubbard model is studied by means of the boundary graded quantum inverse scattering method. The boundary $K$ matrices depending on the local moments of the…

Statistical Mechanics · Physics 2009-10-31 H. -Q. Zhou , X. -Y. Ge , M. D. Gould

In this paper, we study the Hubbard model with intersite Coulomb interaction in the ionic limit (i.e. no kinetic energy). It is shown that this model is isomorphic to the spin-1 Ising model in presence of a crystal field and an external…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini

We investigate integrable fermionic models within the scheme of the graded Quantum Inverse Scattering Method, and prove that any symmetry imposed on the solution of the Yang-Baxter Equation reflects on the constants of motion of the model;…

Strongly Correlated Electrons · Physics 2009-11-07 F. Dolcini , A. Montorsi

We determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction X in addition to the usual Coulomb repulsion U at half-filling. For large enough X and positive U the model shows three phases. For…

Strongly Correlated Electrons · Physics 2007-11-14 A. A. Aligia , A. Anfossi , L. Arrachea , C. Degli Esposti Boschi , A. O. Dobry , C. Gazza , A. Montorsi , F. Ortolani , M. E. Torio

A new integrable version of the degenerate supersymmetric t-J model is proposed. In this formulation instead of restricting single occupancy of electrons at each lattice site we may have up to two electrons at each site. As a requirement of…

Statistical Mechanics · Physics 2009-10-31 F. C. Alcaraz , R. Z. Bariev

The integrability of the one dimensional chiral Hubbard model is discussed in the limit of strong interaction, U=+\infty. The system is shown to be integrable in sense of existence of an infinite number of constants of motion. The system is…

Condensed Matter · Physics 2008-02-03 D. F. Wang , C. Gruber

We discuss classical and quantum symmetries of extended Hubbard models. The quantum symmetries are shown to be related to the known superconducting SU(2) symmetry of the original Hubbard model at half filling via generalized Lang-Firsov…

Strongly Correlated Electrons · Physics 2008-02-03 Peter Schupp

We develop the quantum inverse scattering method for the one-dimensional Hubbard model on the infinite line at zero density. This enables us to diagonalize the Hamiltonian algebraically. The eigenstates can be classified as scattering…

Statistical Mechanics · Physics 2016-08-31 Shuichi Murakami , Frank Göhmann

We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra $sl(2|1)$. Upon alternation of such a representation with its dual this model…

Statistical Mechanics · Physics 2012-05-16 Holger Frahm , Márcio J. Martins

We propose a bosonic quantum breakdown Hubbard model, which generalizes the Bose-Hubbard model by adding an asymmetric breakdown interaction turning one boson into two between adjacent sites. When the normal hopping is zero, this model has…

Strongly Correlated Electrons · Physics 2025-09-18 Yu-Min Hu , Biao Lian

The model of strongly correlated electrons with the correlated hopping term and an additional interaction between holes $V$ is solved exactly in one dimension at a special point where the number of hole pairs is conserved. As a function of…

Statistical Mechanics · Physics 2009-10-30 F. C. Alcaraz , R. Z. Bariev

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

Strongly Correlated Electrons · Physics 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

Examples of scalar conserved currents are presented for trigonometric, hyperbolic and elliptic versions of the Hubbard model with non-nearest neighbour variable range hopping. They support for the first time the hypothesis about the…

High Energy Physics - Theory · Physics 2009-11-07 V. I. Inozemtsev , R. Sasaki

Paper: cond-mat/9311033 The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many ``real world'' features, but it is much more difficult to analyze…

Condensed Matter · Physics 2008-02-03 Elliott Lieb

The dynamics of a single hole (or electron) in the two dimensional Hubbard model is investigated. The antiferromagnetic background is described by a N\`eel state, and the hopping of the carrier is analyzed within a configuration interaction…

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