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

Title: 具有通用开放边界条件的$D_2^{(2)}$自旋链模型的精确物理量

Abstract: We study the quantum integrable spin chain model associated with the twisted $D_2^{(2)}$ algebra (or simply the $D_2^{(2)}$ 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 $t$-$W$ 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 $D_2^{(2)}$ model in different regimes of boundary parameters. Show Chinese abstract

Abstract: 我们研究在一般开放边界条件下与扭曲的$D_2^{(2)}$代数（或简称为$D_2^{(2)}$模型）相关的量子可积自旋链模型。 该模型的哈密顿量可以分解为两个交错的 XXZ 自旋链之和。 应用$t$-$W$方法，我们推导出转移矩阵本征值零点的齐次贝特 ansatz 方程以及具有通用可积边界的交错 XXZ 自旋链对应零点的分布模式。 基于这些结果，我们解析计算了$D_2^{(2)}$模型在边界参数不同区域下的表面能和激发能。