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A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as…

Condensed Matter · Physics 2009-10-28 R. Z. Bariev , A. Klümper , J. Zittartz

A new lattice model is presented for correlated electrons on the unrestricted $4^L$-dimensional electronic Hilbert space $\otimes_{n=1}^L{\bf C}^4$ (where $L$ is the lattice length). It is a supersymmetric generalization of the Hubbard…

Condensed Matter · Physics 2009-10-22 Anthony J. Bracken , Mark D. Gould , Jon R. Links , Yao-Zhong Zhang

A one-dimensional model of interacting electrons with on-site $U$, nearest-neighbor $V$, and correlated-hopping interaction $T^{\ast}$ is studied at half-filling using the continuum-limit field theory approach. The ground state phase…

Strongly Correlated Electrons · Physics 2009-10-31 G. I. Japaridze , A. P. Kampf

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

The effect of correlated hopping on the charge and heat transport of strongly correlated particles is studied for the Falicov-Kimball model on the Bethe lattice. Exact solutions for the one particle density of states (DOS) and two particle…

Strongly Correlated Electrons · Physics 2017-03-29 D. A. Dobushovskyi , A. M. Shvaika , V. Zlatić

In the paper a possibility of metallic ferromagnetic state realization in a generalized Hubbard model with more complete accounting of electron-electron interactions, in particular, the correlated hopping and exchange interaction integrals…

Strongly Correlated Electrons · Physics 2007-05-23 L. Didukh , O. Kramar

We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the $t$-$J$ model as a special case. The model…

Condensed Matter · Physics 2008-11-26 Fabian H. L. Essler , Vladimir E. Korepin , Kareljan Schoutens

We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a…

Strongly Correlated Electrons · Physics 2025-12-05 Jia-Lin Chen , Zhen Fan , Bo Zhan , Jiahang Hu , Tong Liu , Junyi Ji , Kang Wang , Hai-Jun Liao , Tao Xiang

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the "darkness formation probability" are calculated in the thermodynamical…

solv-int · Physics 2009-10-30 N. M. Bogoliubov , A. G. Izergin , N. A. Kitanine

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

Two new one-dimensional fermionic models depending on two independent parameters are formulated and solved exactly by the Bethe-ansatz method. These models connect continuously the integrable Hubbard and supersymmetric t-J models.

Strongly Correlated Electrons · Physics 2009-10-31 F. C. Alcaraz , R. Z. Bariev

A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

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

A new family of exactly solvable one dimensional models with a hard-core repulsive potential is solved by the Bethe Ansatz for an arbitrary hard-core radius. The exact ground state phase diagrams in a plane 'electron density - on-site…

Strongly Correlated Electrons · Physics 2009-11-07 Igor N. Karnaukhov , Alexander A. Ovchinnikov

We investigate the excitation spectrum of a model of $N$ colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like…

Condensed Matter · Physics 2009-10-22 R. Z. Bariev , A. Klümper , A. Schadschneider , J. Zittartz

We investigate the physical properties of an integrable extension of the Hubbard model with a free parameter $\gamma$ related to the quantum deformation of the superalgebra $sl(2|2)^{(2)}$. The Bethe ansatz solution is used to determine the…

Statistical Mechanics · Physics 2015-05-14 A. L. Malvezzi , M. J. Martins

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 term Bethe Ansatz stands for a multitude of methods in the theory of integrable models in statistical mechanics and quantum field theory that were designed to study the spectra, the thermodynamic properties and the correlation functions…

Mathematical Physics · Physics 2024-12-31 Frank Göhmann

We investigate spin-1/2 electrons with local Hubbard interaction and variable range hopping amplitudes which decay like~$\sinh(\kappa)/\sinh(\kappa r)$. Assuming integrability the Asymptotic Bethe Ansatz approach allows us to derive the…

Condensed Matter · Physics 2012-07-07 F. Gebhard , P. -A. Bares

We consider the extended Hubbard model in the atomic limit on a Bethe lattice with coordination number z. By using the equations of motion formalism, the model is exactly solved for both attractive and repulsive intersite potential V. By…

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