Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-15
Nucl.Phys. B588 (2000) 638-655
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e with epic macro, 21 pages; references added/corrected; the algebraic Bethe Ansatz solution for the staggered XXZ model
Scientific paper
10.1016/S0550-3213(00)00409-0
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition along a chain of both, the anisotropy \pm\Delta, as well as shifts of the spectral parameters are considered and the corresponding integrable model is constructed. The Hamiltonian of the model is computed in fermionic and spin formulations. It involves three neighbour site interactions and therefore can be considered as a zig-zag ladder model. The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found. The model has a free fermionic limit at \Delta=0 and the integrable boundary terms are found in this case. This construction is quite general and can be applied to other known integrable models.
Arnaudon Daniel
Poghossian Rubik
Sedrakyan Ara
Sorba Paul
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