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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…

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

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

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

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…

Strongly Correlated Electrons · Physics 2009-10-31 Huan-Qiang Zhou , Xiang-Yu Ge , Jon Links , Mark D. Gould

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

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons are studied by means of the boundary graded quantum inverse scattering method. The boundary K matrices depending on the local…

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

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

We study the generalized supersymmetric t-J model with Kondo impurities in the boundaries. We first construct the higher spin operator K-matrix for the XXZ Heisenberg chain. Setting the boundary parameter to be a special value, we find a…

Strongly Correlated Electrons · Physics 2009-10-31 Heng Fan , Miki Wadati , Rui-hong Yue

The hamiltonian with magnetic impurities coupled to the strongly correlated electron system is constructed from $t-J$ model. And it is diagonalized exactly by using the Bethe ansatz method. Our boundary matrices depend on the spins of the…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu , Yupeng Wang

We propose an integrable Kondo problem in a one-dimensional (1D) $t-J$ model. With the open boundary condition of the wave functions at the impurity sites, the model can be exactly solved via Bethe ansatz for a class of $J_{R,L}$ (Kondo…

Strongly Correlated Electrons · Physics 2009-10-30 Yupeng Wang , Jianhui Dai , Zhanning Hu , Fu-Cho Pu

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an…

Strongly Correlated Electrons · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

From the open boundary t-J model, an impurity model is constructed in which magnetic impurities of arbitrary spins are coupled to the edges of the strongly correlated electron system. The boundary R matrices are given explicitly. The…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

An integrable quantum spin ladder based on the SU(4) symmetry algebra with boundary defects is studied in the framework of boundary integrability. Five nontrivial solutions of the reflection equations lead to different boundary impurities.…

Statistical Mechanics · Physics 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , A. P. Tonel , H. -Q. Zhou

New integrable boundary conditions for integrable quantum systems can be constructed by tuning of scattering phases due to reflection at a boundary and an adjacent impurity and subsequent projection onto sub-spaces. We illustrate this…

Condensed Matter · Physics 2009-10-31 Holger Frahm , Nikita A. Slavnov

Integrable open-boundary condition for the q-deformed Essler-Korepin-Schoutens extended Hubbard model of strongly correlated electrons, are studied in the framework of the boundary quantum inverse scattering method. Diagonal boundary…

Strongly Correlated Electrons · Physics 2009-10-31 Xiang-Yu Ge

In this letter we consider the time dependent Kondo model where a magnetic impurity interacts with the electrons through a time dependent interaction strength $J(t)$. We develop a new framework based on Bethe ansatz and construct an exact…

Strongly Correlated Electrons · Physics 2025-09-12 Parameshwar R. Pasnoori

We consider the quantum inverse scattering method for several mixed integrable models based on the rational SU(N) R-matrix with general toroidal boundary conditions. This includes systems whose Hilbert spaces are invariant by the discrete…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 G. A. P. Ribeiro , M. J. Martins

Quantum impurity models are prevalent throughout many body physics, providing some prime examples of strongly correlated systems. Aside from being of great interest in themselves they can provide deep insight into the effects of strong…

Strongly Correlated Electrons · Physics 2020-01-08 Parameshwar R. Pasnoori , Colin Rylands , Natan Andrei

Type-I quantum impurities are investigated in the context of the integrable Heisenberg model. This type of defects is associated to the (q)-harmonic oscillator algebra. The transmission matrices associated to this particular type of defects…

Mathematical Physics · Physics 2013-11-28 Anastasia Doikou

A strongly correlated electron system associated with the quantum superalgebra ${U}_q[{osp}(2|2)]$ is studied in the framework of the quantum inverse scattering method. By solving the graded reflection equation, two classes of…

Strongly Correlated Electrons · Physics 2016-08-16 X. -W. Guan , A. Foerster , U. Grimm , R. A. Römer , M. Schreiber

We study the role of bound states appearing in different formulations of the Bethe ansatz for the supersymmetric t-J model with a boundary potential and an integrable impurity. For special values of the parameters describing the boundary…

Strongly Correlated Electrons · Physics 2007-07-19 Holger Frahm , Guillaume Palacios
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