English

Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions

Mathematical Physics 2025-05-19 v2 math.MP

Abstract

We study the quantum integrable spin chain model associated with the twisted D2(2)D_2^{(2)} algebra (or simply the D2(2)D_2^{(2)} model) under generic open boundary conditions. The Hamiltonian of this model can be factorized into the sum of two staggered XXZ spin chains. Applying the tt-WW method, we derive the homogeneous Bethe ansatz equations for the zeros of the transfer matrix eigenvalues and the patterns of the corresponding zeros of the staggered XXZ spin chain with generic integrable boundaries. Based on these results, we analytically compute the surface energies and excitation energies of the D2(2)D_2^{(2)} model in different regimes of boundary parameters.

Keywords

Cite

@article{arxiv.2502.09262,
  title  = {Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions},
  author = {Pengcheng Lu and Junpeng Cao and Wen-Li Yang and Ian Marquette and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:2502.09262},
  year   = {2025}
}

Comments

23 pages, 7 figures, 2 tables