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arXiv · 1507.03367

Off-diagonal Bethe Ansatz solution of the $\tau_2$-model

Xiaotian Xu·Junpeng Cao·Shuai Cui·Wen-Li Yang·Kangjie Shi·Yupeng Wang
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Abstract

The generic quantum $\tau_2$-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in $\tau_j$-hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T-Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T-Q relation does indeed give the complete spectrum.

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Xiaotian Xu, Junpeng Cao, Shuai Cui, Wen-Li Yang, Kangjie Shi, Yupeng Wang. 2015-07-13. Off-diagonal Bethe Ansatz solution of the $\tau_2$-model. https://arxiv.org/abs/1507.03367

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