On the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries

Abstract

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T − Q relation, and the corresponding eigenstates are expressed in terms of nested Bethe states which have welldefined homogeneous limit. This exact solution provides basis for further analyzing the thermodynamic properties and correlation functions of the model.

Surface energy of the one-dimensional supersymmetric t − J model with unparallel boundary fields

“…Due to the U(1)-symmetry-broken for the case with unparallel boundary fields, the conventional methods have failed to solve the model for a long time [26]. The exact solution of the one-dimensional supersymmetric t − J model with unparallel boundary fields [27,28] was obtained recently, which will enable one further to study the thermodynamic limit and surface energy [29][30][31] of the model.…”

“…By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz [28], the eigenvalues Λ(u) of the transfer matrix t(u) is given by an inhomogeneous T − Q relation…”

“…Compared with the periodic case and parallel boundary fields case, the one-dimensional supersymmetric t−J model with unparallel boundary fields is the most general integrable case. With the help of the exact solution of the one-dimensional supersymmetric t−J model with unparallel boundary fields [24,25,26], the thermodynamic limit and surface energy of the model is a fascinating question [27,28,29].…”