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(abbreviated) This article considers recent advances in the investigation of the thermal and magnetic properties of integrable spin ladder models and their applicability to the physics of real compounds. The ground state properties of the…

Statistical Mechanics · Physics 2009-06-20 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. Tsuboi

We investigate the thermal and magnetic properties of the integrable su(4) ladder model by means of the quantum transfer matrix method. The magnetic susceptibility, specific heat, magnetic entropy and high field magnetization are evaluated…

Statistical Mechanics · Physics 2009-11-10 Murray T. Batchelor , Xi-Wen Guan , Norman Oelkers , Kazumitsu Sakai , Zengo Tsuboi , Angela Foerster

The quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate space…

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

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

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

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

The integrable su(4)-invariant spin-ladder model with boundary defect is studied using the Bethe ansatz method. The exact phase diagram for the ground state is given and the boundary quantum critical behavior is discussed. It consists of a…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang , P. Schlottmann

We investigate the thermodynamics of a spin ladder model which possesses a free parameter besides the rung and leg couplings. The model is exactly solved by the Bethe Ansatz and exhibits a phase transition between a gapped and a gapless…

Statistical Mechanics · Physics 2007-05-23 A. P. Tonel , S. R. Dahmen , A. Foerster , A. L. Malvezzi

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 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

We construct an integrable Hubbard model with impurity site containing spin and charge degrees of freedom. The Bethe ansatz equations for the Hamiltonian are derived and two alternative sets of equations for the thermodynamical properties.…

Statistical Mechanics · Physics 2019-07-26 Yahya Öz , Andreas Klümper

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

Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without $U(1)$ symmetry, their spectra are usually given by inhomogeneous $T-Q$…

Mathematical Physics · Physics 2021-11-12 Xiong Le , Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

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

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

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

We study zero temperature properties of a system of two coupled quantum spin chains subject to fields explicitly breaking time reversal symmetry and parity. Suitable choice of the strength of these fields gives a model soluble by Bethe…

Statistical Mechanics · Physics 2009-10-30 Holger Frahm , Claus Rödenbeck

Two integrable spin ladder systems with different types of impurities are proposed. The impurities are introduced in such a way that the integrability of the models is not violated. The models are solved exactly and the Bethe ansatz…

Statistical Mechanics · Physics 2007-05-23 Arlei Prestes Tonel , Angela Foerster , Xi-Wen Guan , Jon Links

An integrable version of the supersymmetric U model with open boundary conditions and an impurity situated at one end of the chain is introduced. The model is solved through the algebraic Bethe ansatz method and the Bethe ansatz equations…

Strongly Correlated Electrons · Physics 2009-10-31 A. Foerster , K. E. Hibberd , J. R. Links , I. Roditi

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…

Mathematical Physics · Physics 2024-12-18 Guang-Liang Li , Junpeng Cao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We study the exact solution of quantum integrable system associated with the $A^{(2)}_3$ twist Lie algebra, where the boundary reflection matrices have non-diagonal elements thus the $U(1)$ symmetry is broken. With the help of the fusion…

Mathematical Physics · Physics 2023-04-20 Guang-Liang Li , Junpeng Cao , Xiao-Tian Xu , Kun Hao , Pei Sun , Tao Yang , Wen-Li Yang
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