Integrable Kondo impurities in the one-dimensional q-defirmed 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.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.

arXiv:cond-mat/9908191Aug 13, 19992 citations

Exact Results for a Kondo Problem in a One-Dimensional t−J Model

Yupeng Wang, Jianhui Dai, Zhan-Ning Hu +1 more

We propose an integrable Kondo problem in a one-dimensional $t\ensuremath{-}J$ 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 set of ${J}_{L,R}$ (Kondo coupling constants) and ${V}_{L,R}$ (impurity potentials) parametrized by a single parameter $c$ . The integrable value of ${J}_{L,R}$ runs from negative infinity to positive infinity, which allows us to study both the ferromagnetic Kondo problem and the antiferromagnetic Kondo problem in a strongly correlated electron system. Generally, there is a residual entropy for the ground state, which indicates a typical non-Fermi liquid behavior.We propose an integrable Kondo problem in a one-dimensional $t\ensuremath{-}J$ 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 set of ${J}_{L,R}$ (Kondo coupling constants) and ${V}_{L,R}$ (impurity potentials) parametrized by a single parameter $c$. The integrable value of ${J}_{L,R}$ runs from negative infinity to positive infinity, which allows us to study both the ferromagnetic Kondo problem and the antiferromagnetic Kondo problem in a strongly correlated electron system. Generally, there is a residual entropy for the ground state, which indicates a typical non-Fermi liquid behavior.

arXiv:cond-mat/9706086Physical Review LettersSep 8, 199772 citations

Integrable Kondo impurities in one-dimensional extended Hubbard models

Huan-Qiang Zhou, Xiangyu Ge, Jon Links +1 more

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 ${(2s}_{\ensuremath{\alpha}}+1)$-dimensional impurity Hilbert space. Furthermore, these models are solved using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.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 ${(2s}_{\ensuremath{\alpha}}+1)$-dimensional impurity Hilbert space. Furthermore, these models are solved using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.

arXiv:cond-mat/9908036Physical review. B, Condensed matterAug 1, 20005 citations

Integrable Anderson-type impurity in the supersymmetric t-J model

Holger Frahm, Guillaume Palacios

Theoretical and Mathematical PhysicsFeb 1, 20071 citation

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.

{J}_{L,R}

(Kondo coupling constants) and

{V}_{L,R}

(impurity potentials) parametrized by a single parameter

c

. The integrable value of

{J}_{L,R}

runs from negative infinity to positive infinity, which allows us to study both the ferromagnetic Kondo problem and the antiferromagnetic Kondo problem in a strongly correlated electron system. Generally, there is a residual entropy for the ground state, which indicates a typical non-Fermi liquid behavior.