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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 generalization of the t-J model with a nearest-neigbour hopping is formulated and solved exactly by the Bethe-ansatz method in the thermodymanic limit. The model describes the dymanics of fermions with different spins and with…

Statistical Mechanics · Physics 2008-02-03 F. C. Alcaraz , R. Z. Bariev

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

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 exact solution of the one-dimensional super-symmetric t-J model under generic integrable boundary conditions is obtained via the Bethe ansatz methods. With the coordinate Bethe ansatz, the corresponding R-matrix and K-matrices are…

Mathematical Physics · Physics 2015-06-18 Xin Zhang , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We consider the exact solution of a model of correlated particles, which is presented as a system of interacting XX and Fateev-Zamolodchikov chains. This model can also be considered as a generalization of the multiband anisotropic $t-J$…

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

A new strongly correlated electron model is presented. This is formed by two types of sites: one where double occupancy is forbidden, as in the t-J model, and the other where double occupancy is allowed but vacancy is not allowed, as an…

Condensed Matter · Physics 2016-08-15 J. Abad , M. Ríos

An integrable version of the supersymmetric t-J model which is quantum group invariant as well as periodic is introduced and analysed in detail. The model is solved through the algebraic nested Bethe ansatz method.

Statistical Mechanics · Physics 2009-10-30 Angela Foerster

By parameterizing the t-j model we present a new electron correlation model with one free parameter for high-temperature superconductivity. This model is of $SU_{q}(1,2)$ symmetry. The energy spectrums are shown to be modulated by the free…

Condensed Matter · Physics 2009-10-22 Shao-Ming Fei , Rui-Hong Yue

We study integrable boundary conditions for the supersymmetric t-J model of correlated electrons which arise when combining static scattering potentials with dynamical impurities carrying an internal degree of freedom. The latter differ…

Condensed Matter · Physics 2009-10-31 Gerald Bedürftig , Holger Frahm

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t-J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T-Q relation,…

Mathematical Physics · Physics 2017-07-13 Pei Sun , Fakai Wen , Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi

An integrable eight state supersymmtric $U$ model is proposed, which is a fermion model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping. It has an $gl(3|1)$ supersymmetry and contains one…

Strongly Correlated Electrons · Physics 2009-10-30 Mark D. Gould , Yao-Zhong Zhang , Huan-Qiang Zhou

A t-J model for correlated electrons with impurities is proposed. The impurities are introduced in such a way that integrability of the model in one dimension is not violated. The algebraic Bethe ansatz solution of the model is also given…

Statistical Mechanics · Physics 2009-10-31 Jon Links , Angela Foerster

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method. The Bethe ansatz equations for all these models are derived by using the algebraic…

Strongly Correlated Electrons · Physics 2009-11-07 Anthony J. Bracken , Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

A new generalization of the t-J model with a nearest-neigbor hopping is formulated and solved exactly by the Bethe-ansatz method. The model describes the dynamics of spin-S fermions with isotropic or anisotropic interactions. In the case…

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

A new two-parameter integrable model with quantum superalgebra $U_q[gl(3|1)]$ symmetry is proposed, which is an eight-state electron model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping.…

Strongly Correlated Electrons · Physics 2009-10-30 Xiang-Yu Ge , Mark D. Gould , Yao-Zhong Zhang , Huan-Qiang Zhou

In this paper we find new integrable one-dimensional lattice models of electrons. We classify all such nearest-neighbour integrable models with su(2)xsu(2) symmetry following the procedure first introduced in arXiv:1904.12005. We find 12…

Mathematical Physics · Physics 2020-09-04 Marius de Leeuw , Anton Pribytok , Ana L. Retore , Paul Ryan

We construct an extended Hubbard model with open boundaries from a $R$-matrix based on the $U_q[Osp(2|2)]$ superalgebra. We study the reflection equation and find two classes of diagonal solutions. The corresponding one-dimensional open…

solv-int · Physics 2009-10-31 M. J. Martins , X. W. Guan

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 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
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