Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model

Details Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model

2001-03-20

arxiv.org/abs/nlin/0103027v3

Nucl.Phys. B608 (2001) 557-576

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages, Latex2e with amsfonts package

Scientific paper

10.1016/S0550-3213(01)00272-3

The anisotropic t-J model ($U_q(gl(2|1))$ Perk-Schultz model) with staggered disposition of the anisotropy parameter along a chain is considered and the corresponding ladder type integrable model is constructed. This is a generalisation to spin-1 case of the staggered $XXZ$ spin-1/2 model considered earlier. The corresponding Hamiltonian is calculated and, since it contains next to nearest neighbour interaction terms, can be written in a zig-zag form. The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found.

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