Reply to Schlottmann and Zvyagin
This is a reply to a comment by P. Schlottmann and A.A. Zvyagin.
cond-mat.str-el↗
arXiv subjects
Xiang-Yu Ge
Publications and source records attributed to Xiang-Yu Ge.
Integrable Kondo impurity in one-dimensional q-deformed $t-J$ models
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 moments of the impurities are presented as nontrivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, these models are solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.
cond-mat.str-el↗
Algebraic Bethe Ansatz for Integrable Extended Hubbard Models Arising from Supersymmetric Group Solutions
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 Bethe ansatz method.
cond-mat.str-el↗
Integrable one-dimensional supersymmetric q-deformed extended Hubbard model with boundary Kondo impurity
This paper has been withdrawn by the author, due to an error in relation (11).
cond-mat.str-el↗
Integrable open-boundary conditions for the q-deformed extended Hubbard model
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 K-matrices are found, and nine classes of integrable boundary terms are determined.
cond-mat.str-el↗
Integrable Kondo impurities in one-dimensional extended Hubbard models
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 presented as a nontrivial realization of the graded reflection equation algebras acting in a $(2 s_α+1)$-dimensional impurity Hilbert space. Further, these models are solved using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.
cond-mat.str-el↗
An open-boundary integrable model of three coupled XY spin chains
The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of integrable boundary terms is determined. The boundary model Hamiltonian is solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived.
cond-mat.stat-mech↗
Integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons
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 application, the integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons are investigated. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. The boundary system is solved by means of the coordinate space Bethe ansatz technique and the Bethe ansatz equations are derived. As a sideline, it is shown that all R-matrices associated with a quantum affine superalgebra enjoy the crossing-unitarity property.
cond-mat.str-el↗
A new tow-parameter integrable model of strongly correlated electrons with quantum superalgebra symmetry
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. The model is solved and the Bethe ansatz equations are obtained.
cond-mat.str-el↗
Integrable eight-state supersymmetric $U$ model with boundary terms and its Bethe ansatz solution
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 equations are obtained.
cond-mat.str-el↗