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2 results

Integrable extended Hubbard models with boundary Kondo impurities
Anthony J. Bracken, Xiang-Yu Ge, Mark D. Gould, Huan-Qiang Zhou
Journal: Bulletin of the Australian Mathematical Society / Volume 64 / Issue 3 / December 2001
Published online by Cambridge University Press: 17 April 2009, pp. 445-467
Print publication: December 2001
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Three kinds of integrable Kondo impurity additions to one-dimensional q-deformed extended Hubbard models are studied by means of the boundary Z2-graded quantum inverse scattering method. The boundary K matrices depending on the local magnetic moments of the impurities are presented as nontrivial realisations of the reflection equation algebras in an impurity Hilbert space. The models are solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.

Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution
Anthony J. Bracken, Xiang-Yu Ge, Yao-Zhong Zhang, Huan-Qiang Zhou
Journal: Bulletin of the Australian Mathematical Society / Volume 59 / Issue 3 / June 1999
Published online by Cambridge University Press: 17 April 2009, pp. 375-390
Print publication: June 1999
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The recently introduced two-parameter eight-state Uq [gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.