Exact diagonalization of the generalized supersymmetric t-J model with boundaries

Abstract

We study the generalized supersymmetric $t-J$ model with boundaries in three different gradings: FFB, BFF and FBF. Starting from the trigonometric R-matrix, and in the framework of the graded quantum inverse scattering method (QISM), we solve the eigenvalue problems for the supersymmetric $t-J$ model. A detailed calculations are presented to obtain the eigenvalues and Bethe ansatz equations of the supersymmetric $t-J$ model with boundaries in three different backgrounds.

Latex file, 32 pages

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Cited by in corpus (9)

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• Diagonalization of transfer matrix of supersymmetry $u_q(\widehat{sl}(m+1|n+1))$ chain with a boundary
• Supersymmetric t-J Gaudin Models and KZ Equations
• Boundary Kondo impurities in the generalized supersymmetric t-J model
• Integrable boundary impurities in the t-J model with different gradings
• Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields
• q-deformed Supersymmetric t-J Model with a Boundary
• Integrable open boundary conditions for the Bariev model of three coupled XY spin chains
• On the Bethe states of the one-dimensional supersymmetric t-J model with generic open boundaries