Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-10-15
Nucl. Phys. B516 (1998) 588--602
Physics
Condensed Matter
Strongly Correlated Electrons
some typos correctedand refs updated; to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(98)00067-4
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.
Bracken Anthony J.
Ge Xiang-Yu
Zhang Yao-Zhong
Zhou Huan-Qiang
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