Integrable boundary impurities in the t-J model with different gradings

Abstract

We investigate the generalized supersymmetric $t-J$ model with boundary impurities in different gradings. All three different gradings: fermion, fermion, boson (FFB), boson, fermion, fermion (BFF) and fermion, boson, fermion (FBF), are studied for the generalized supersymmetric $t-J$ model. Boundary K-matrix operators are found for the different gradings. By using the graded algebraic Bethe ansatz method, we obtain the eigenvalues and the corresponding Bethe ansatz equations for the transfer matrix.

Latex file, 20 pages

References in corpus (2)

• Exact diagonalization of the generalized supersymmetric t-J model with boundaries
• Boundary Kondo impurities in the generalized supersymmetric t-J model

Cited by in corpus (6)

• Exact solution of the one-dimensional super-symmetric t-J model with unparallel boundary fields
• Kondo effect in the isotropic Heisenberg spin chain
• Algebraic Bethe Ansatz solutions for the $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models with 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
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model