Algebraic Properties of the Bethe Ansatz for an Spl(2,1)-supersymmetric T-j Model
نویسنده
چکیده
We investigate the algebraic structure of the supersymmetric t-J model in one dimension. We prove that the Bethe ansatz states are highest weight vectors of an spl(2,1) superalgebra. By acting with shift operators we construct a complete set of states for this model. In addition we analyse the multiplet structure of the anti-ferromagnetic ground state and some low lying excitations. It turns out that the ground state is a member of a quartet.
منابع مشابه
Completeness of the Bethe states for the supersymmetric t-J model.
A complete set of eigenstates for the supersymmetric t-J model in one dimension is obtained by combining the Bethe-ansatz with the Spl(2,1) supersymmetry of the model.
متن کاملThe Supersymmetric T-j Model with Quantum Group Invariance
An integrable quantum group deformation of the supersymmetric t-J model is introduced. Open boundary conditions lead to an spl q (2; 1) invariant hamiltonian. A general procedure to obtain such invariant models is proposed. To solve the model a generalized nested algebraic Bethe ansatz is constructed and the Bethe ansatz equations are obtained. The quantum supergroup structure of the model is i...
متن کاملA. González–Ruiz ∗
Integrable open-boundary conditions for the supersymmetric t-J model. The quantum group invariant case. Abstract We consider integrable open–boundary conditions for the supersymmetric t–J model commuting with the number operator n and S z. Four families, each one depending on two arbitrary parameters, are found. We find the relation between Sklyanin's method of constructing open boundary condit...
متن کاملAlgebraic Bethe ansatz for the gl(1|2) generalized model II: the three gradings
The algebraic Bethe ansatz can be performed rather abstractly for whole classes of models sharing the same R-matrix, the only prerequisite being the existence of an appropriate pseudo vacuum state. Here we perform the algebraic Bethe ansatz for all models with 9×9, rational, gl(1|2)-invariant R-matrix and all three possibilities of choosing the grading. Our Bethe ansatz solution applies, for in...
متن کاملAlgebraic Bethe ansatz for the gl(1|2) generalized model and Lieb-Wu equations
We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model. Specifying the parameters appropriately, we obtain the Bethe ansatz equations of the supersymmetric t-J model, the Hubbard model, or of Yang’s model of elec...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993