Monte Carlo Renormalization Flows in the Space of Relevant and Irrelevant Operators: Application to Three-Dimensional Clock Models.
Monte Carlo Renormalization Flows in the Space of Relevant and Irrelevant Operators: Application to Three-Dimensional Clock Models.
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DOI：
10.1103/physrevlett.124.080602
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发表时间：
2019-05
影响因子：
8.6
通讯作者：
Hui Shao;Wenan Guo;A. Sandvik
中科院分区：
文献类型：
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作者：
Hui Shao;Wenan Guo;A. Sandvik
我们研究的重整化群流的空间中的观测计算的Monte Carlo模拟。作为一个例子，我们考虑三维时钟模型，即，Z_{q}对称各向异性场扰动下XY自旋模型。对于q=4，5，6，一个具有两个相关自变量的标度函数描述了在临界点和有序相的复杂重整化流的所有阶段，包括从U（1）Nambu-Goldstone不动点到最终Z_{q}破缺不动点的交叉.我们希望我们的方法在量子临界点的背景下是有用的，这些临界点具有固有的危险的不相关算子，这些算子不能在微观上被调谐，但其重整化流可以像我们在这里为时钟模型所做的那样进行分析。
We study renormalization group flows in a space of observables computed by Monte Carlo simulations. As an example, we consider three-dimensional clock models, i.e., the XY spin model perturbed by a Z_{q} symmetric anisotropy field. For q=4, 5, 6, a scaling function with two relevant arguments describes all stages of the complex renormalization flow at the critical point and in the ordered phase, including the crossover from the U(1) Nambu-Goldstone fixed point to the ultimate Z_{q} symmetry-breaking fixed point. We expect our method to be useful in the context of quantum-critical points with inherent dangerously irrelevant operators that cannot be tuned away microscopically but whose renormalization flows can be analyzed as we do here for the clock models.