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A supersymmetric U_q[osp(2|2)]-extended Hubbard model with boundary fields

Guan, X. W.; Foerster, A.; Grimm, U.; Römer, R. A. and Schreiber, M. (2001). A supersymmetric U_q[osp(2|2)]-extended Hubbard model with boundary fields. Nuclear Physics B, 618(3) pp. 650–674.

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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 boundary-reflection K-matrices leading to four kinds of possible boundary interaction terms are found. Performing the algebraic Bethe ansatz, we diagonalize the two-level transfer matrices which characterize the charge and the spin degrees of freedom, respectively. The Bethe-ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum are presented explicitly. We also construct two impurities coupled to the boundaries. In the thermodynamic limit, the ground state properties and impurity effects are discussed.

Item Type: Journal Article
ISSN: 0550-3213
Keywords: Hubbard model; Yang�Baxter equation; reflection equations; algebraic Bethe ansatz
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 6748
Depositing User: Uwe Grimm
Date Deposited: 13 Feb 2007
Last Modified: 04 Dec 2010 15:19
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