We investigate two-dimensional anisotropic spin-\(\frac{1}{2}\) lattice for XXZ model using concurrence and quantum Fisher information. The model is solved by using quantum renormalization group method and observed the quantum phase transition in thermodynamic limit. After sufficient iterations of quantum renormalization group, the concurrence and quantum Fisher information both attain two different saturated values that represent two different phases, the Néel phase and the spin fluid phase. The first-order derivative and the scaling behavior of both the concurrence and the quantum Fisher information are studied. At phase transition point, the non-analytic behavior of the derivative as a function of lattice size is discussed. Moreover, we observe that the scaling exponent for the concurrence and the quantum Fisher information describe the correlation length of the model at the critical point.

我们研究二维各向异性自旋- \（\ frac {1} {2} \）使用并发和量子Fisher信息的XXZ模型的晶格。使用量子重归一化群方法对模型进行求解，并在热力学极限下观察了量子相变。在对量子重归一化组进行了足够的迭代之后，并发信息和量子Fisher信息都获得了两个不同的饱和值，分别代表了两个不同的相，即Néel相和自旋流体相。研究了并发信息和量子Fisher信息的一阶导数和缩放行为。在相变点，讨论了导数的非解析行为与晶格大小的关系。此外，我们观察到并发的缩放指数和费舍尔量子信息描述了模型在临界点的相关长度。