Spectrum of the supersymmetric t-J model with non-diagonal open boundaries

Abstract

In this work we diagonalize the double-row transfer matrix of the supersymmetric t-J model with non-diagonal boundary terms by means of the algebraic Bethe ansatz. The corresponding reflection equations are studied and two distinct classes of solutions are found, one diagonal solution and other non-diagonal. In the non-diagonal case the eigenvalues in the first sectors are given for arbitrary values of the boundary parameters.

arXiv comment22 pages

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Cited by in corpus (13)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• The Bethe Ansatz Equations for Reflecting Magnons
• Exact solution of the one-dimensional super-symmetric t-J model with unparallel boundary fields
• Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries
• Non-diagonal boundary conditions for gl(1|1) super spin chains
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• New reflection matrices for the U_q(gl(m|n)) case
• Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields
• Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
• Surface energy of the one-dimensional supersymmetric $t-J$ model with general integrable boundary terms in the antiferromagnetic sector
• On the Bethe states of the one-dimensional supersymmetric t-J model with generic open boundaries
• On the ${\mathcal{U}}_q[osp(1|2)]$ Temperley-Lieb model
• Fermionic reflection matrices