论文标题
$ d^{（1）} _ 2 $旋转链的精确表面能，带有通用非对角线边界反射
Exact surface energy of the $D^{(1)}_2$ spin chain with generic non-diagonal boundary reflections
论文作者
论文摘要
获得了$ d^{（1）} _ 2 $量子自旋链的精确解决方案，并获得了通用非对角线边界反射。发现可以将保守量的系统的生成功能分解为具有开放边界条件的两个各向异性$ xxz $旋转链的转移矩阵的乘积。通过使用分解身份和融合技术，可以获得模型的特征值和伯特ansatz方程。特征值还通过转移矩阵的零根参数化，并获得了根分布的模式。基于它们，获得了热力学极限中扭曲的边界磁场引起的基态能量和表面能。这些结果通过数值计算检查。还讨论了相应的各向同性极限。本文给出的结果是研究高级$ d^{（1）} _ {n} $模型的基础。
The exact solution of the $D^{(1)}_2$ quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of transfer matrices of two anisotropic $XXZ$ spin chains with open boundary conditions. By using the factorization identities and the fusion technique, the eigenvalues and the Bethe ansatz equations of the model are obtained. The eigenvalues are also parameterized by the zero roots of the transfer matrix, and the patterns of root distributions are obtained. Based on them, ground states energy and the surface energies induced by the twisted boundary magnetic fields in the thermodynamic limit are obtained. These results are checked by the numerical calculations. The corresponding isotropic limit is also discussed. The results given in this paper are the foundation to study the exact physical properties of high rank $D^{(1)}_{n}$ model by using the nested processes.
