论文标题
2D和3D随机量子时钟和Potts模型的通用临界行为的数值证据
Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models
论文作者
论文摘要
随机量子$ Q $ - 状态时钟和Potts型号以2和3维度进行了研究。通过对等效的McCoy-Wu 3D经典Modelswith Monte Carlo模拟的局部易感性的集成概率分布，在2D情况下以$ Q = 6 $进行了格里菲斯阶段的存在。对于时钟模型，找不到Griffiths阶段。相反，给出了随机POTTS模型中格里菲斯阶段存在的数值证据，并分析了有限尺寸效应。然后，通过强二阶重归一化组研究随机量子时钟模型的临界点。尽管弱体障碍的重新归当组流的混乱行为，但证据表明，这种临界行为受与Potts模型相同的无限disorder固定点的控制，独立于状态$ q $。
The random quantum $q$-state clock and Potts models are studied in 2 and 3 dimensions. The existence of Griffiths phases is tested in the 2D case with $q=6$ by sampling the integrated probability distribution of local susceptibilities of the equivalent McCoy-Wu 3D classical modelswith Monte Carlo simulations. No Griffiths phase is found for the clock model. In contrast, numerical evidences of the existence of Griffiths phases in the random Potts model are given and the Finite Size effects are analyzed. The critical point of the random quantum clock model is then studied by Strong-Disorder Renormalization Group. Despite a chaotic behavior of the Renormalization-Group flow at weak disorder, evidences are given that this critical behavior is governed by the same Infinite-Disorder Fixed Point as the Potts model, independently from the number of states $q$.
