Mean-field universality class induced by weak hyperbolic curvatures
Mean-field universality class induced by weak hyperbolic curvatures
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弱双曲曲率引起的平均场普适性类
DOI：
10.1103/physreve.90.012122
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发表时间：
2014
影响因子：
2.4
通讯作者：
and Tomotoshi Nishino
中科院分区：
文献类型：
--
作者：
Andrej Gendiar;Michal Daniska;Roman Krcmar;and Tomotoshi Nishino
在一系列具有负高斯曲率的二维晶格上，研究了铁磁伊辛模型的有序-无序相变。配位数为7的例外格点分布在三角形格子上，其中最近的例外格点之间的典型距离与整数参数成正比。因此，相应的曲率是渐近成比例的。用角转移矩阵重整化群方法计算了自发磁化强度和比热。对于所有的晶相，我们观察到了类平均场的相变。证实了相变温度下的纠缠熵是线性的，这是伊辛模型的中心电荷。这一事实与典型的长度尺度与曲率半径成正比的存在是一致的。
Order-disorder phase transition of the ferromagnetic Ising model is investigated on a series of two-dimensional lattices that have negative Gaussian curvatures. Exceptional lattice sites of coordination number seven are distributed on the triangular lattice, where the typical distance between the nearest exceptional sites is proportional to an integer parameter. Thus, the corresponding curvature is asymptotically proportional to. Spontaneous magnetization and specific heat are calculated by means of the corner transfer matrix renormalization group method. For all the finitecases, we observe the mean-field-like phase transition. It is confirmed that the entanglement entropy at the transition temperature is linear in, whereis the central charge of the Ising model. The fact agrees with the presence of the typical length scalebeing proportional to the curvature radius.