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Journal of Physics A Mathematical and General

Integrable Kondo impurity in one-dimensionalq-deformedt-Jmodels

Xiangyu Ge, M. D. Gould, Jon Links, Huan-Qiang Zhou

Published Oct 8, 2001• 6 citations
Publisher

Abstract

Integrable Kondo impurities in two cases of one-dimensional q -deformed t - J models are studied by means of the boundary 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.

DOI
10.1088/0305-4470/34/41/311

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Integrable Kondo impurities in two cases of one-dimensional q -deformed t - J models are studied by means of the boundary 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 impurity in one-dimensional q-deformed t−Jt-Jt−J models
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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 magnetic moments of the impurities are presented as non-trivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, the model Hamiltonian is diagonalized and the Bethe ansatz equations are derived. It is interesting to note that our model exhibits a free parameter in the bulk Hamiltonian but no free parameter exists on the boundaries. This is in sharp contrast to the impurity models arising from the supersymmetric t-J and extended Hubbard models where there is no free parameter in the bulk but there is a free parameter on each boundary.