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Three kinds of integrable Kondo problems in one-dimensional extended Hubbard models are studied by means of the boundary graded quantum inverse scattering method. The boundary K matrices depending on the local moments of the impurities are…

强关联电子 · 物理学 2009-10-31 Huan-Qiang Zhou , Xiang-Yu Ge , Jon Links , Mark D. Gould

By using the intertwiner and face-vertex correpondence relation, we obtain the Bethe ansatz equation of eight vertex model with open boundary condtitions in the framework of algebraic Bethe ansatz method. The open boundary condition under…

高能物理 - 理论 · 物理学 2010-01-15 Heng Fan , Bo-yu Hou , Kang-jie Shi , Zhong-xia Yang

We study the exact solution of an $N$-state vertex model based on the representation of the $U_q[SU(2)]$ algebra at roots of unity with diagonal open boundaries. We find that the respective reflection equation provides us one general class…

数学物理 · 物理学 2015-05-14 M. J. Martins , C. S. Melo

A class of integrable boundary terms for the eight-state supersymmtric $U$ model are presented by solving the graded reflection equations. The boundary model is solved by using the coordinate Bethe ansatz method and the Bethe ansatz…

强关联电子 · 物理学 2009-10-30 Xiang-Yu Ge , Mark D. Gould , Yao-Zhong Zhang , Huan-Qiang Zhou

New classes of integrable boundary conditions for the q-deformed (or two-parameter) supersymmetric U model are presented. The boundary systems are solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are…

强关联电子 · 物理学 2009-10-30 Yao-Zhong Zhang , Huan-Qiang Zhou

The Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the off-diagonal Bethe ansatz method. Based on some intrinsic properties of the R-matrix…

数学物理 · 物理学 2015-06-19 Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Integrable Kondo impurities in two cases of the one-dimensional $t-J$ model are studied by means of the boundary ${\bf Z}_2$-graded quantum inverse scattering method. The boundary $K$ matrices depending on the local magnetic moments of the…

统计力学 · 物理学 2009-10-31 H. -Q. Zhou , X. -Y. Ge , J. Links , M. D. Gould

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…

数学物理 · 物理学 2015-06-18 Xin Zhang , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the non-exceptional $A^{(2)}_{2r}$, $A^{(2)}_{2r-1}$, $B^{(1)}_r$, $C^{(1)}_r$, $D^{(1)}_{r+1}$ and $D^{(2)}_{r+1}$ Lie…

solv-int · 物理学 2009-10-31 M. J. Martins

A quantum integrable spin chain model associated with the $G_2$ exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained. These identities allow us to…

数学物理 · 物理学 2024-12-18 Guang-Liang Li , Junpeng Cao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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…

强关联电子 · 物理学 2009-11-07 Anthony J. Bracken , Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe quantum systems exhibiting novel long-range interactions. Using the Bethe ansatz approach, we derive the eigenvalues of…

数学物理 · 物理学 2025-06-12 Xiaotian Xu , Pei Sun , Xin Zhang , Junpeng Cao , Tao Yang

By means of an algebraic Bethe ansatz approach we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors…

数学物理 · 物理学 2014-11-07 R. A. Pimenta , A. Lima-Santos

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the…

统计力学 · 物理学 2007-05-23 Jan de Gier , Fabian H. L. Essler

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…

统计力学 · 物理学 2009-10-31 H. -Q. Zhou , X. -Y. Ge , M. D. Gould

We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices are similar to diagonal matrices with the help of suitable…

可精确求解与可积系统 · 物理学 2009-11-10 C. S. Melo , G. A. P. Ribeiro , M. J. Martins

Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for boundary problem that can be solved within…

数学物理 · 物理学 2010-12-17 Vadim Vereschagin

The recently introduced two-parameter eight-state $U_q[gl(3|1)]$ supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded…

统计力学 · 物理学 2007-05-23 A. J. Bracken , X. -Y. Ge , Y. -Z. Zhang , H. -Q. Zhou

We study the exact solutions of quantum integrable model associated with the $C_n$ Lie algebra, with either a periodic or an open one with off-diagonal boundary reflections, by generalizing the nested off-diagonal Bethe ansatz method.…

数学物理 · 物理学 2021-02-25 Guang-Liang Li , Panpan Xue , Pei Sun , Hulin Yang , Xiaotian Xu , Junpeng Cao , Tao Yang , Wen-Li Yang

The quantum $\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an…

数学物理 · 物理学 2016-12-21 Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang , Kangjie Shi