Critical properties of the Hintermann-Merlini model

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	Critical properties of the Hintermann-Merlini model
	Ding, CX ; Wang, YC ; Zhang, WZ ; Guo, WN
刊名	PHYSICAL REVIEW E
	2013
卷号	88 期号:4
ISSN号	1539-3755
通讯作者	Ding, CX (reprint author), Anhui Univ Technol, Dept Appl Phys, Maanshan 243002, Peoples R China.
中文摘要	Many critical properties of the Hintermann-Merlini model are known exactly through the mapping to the eight-vertex model. Wu [J. Phys. C 8, 2262 (1975)] calculated the spontaneous magnetizations of the model on two sublattices by relating them to the conjectured spontaneous magnetization and polarization of the eight-vertex model, respectively. The latter conjecture remains unproved. In this paper we numerically study the critical properties of the model by means of a finite-size scaling analysis based on transfer matrix calculations and Monte Carlo simulations. All analytic predictions for the model are confirmed by our numerical results. The central charge c = 1 is found for the critical manifold investigated. In addition, some unpredicted geometric properties of the model are studied. Fractal dimensions of the largest Ising clusters on two sublattices are determined. The fractal dimension of the largest Ising cluster on the sublattice A takes a fixed value D-a = 1.888(2), while that for sublattice B varies continuously with the parameters of the model.
资助信息	National Science Foundation of China [11205005, 11175018]
语种	英语
公开日期	2014-01-16
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/56852]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Ding, CX,Wang, YC,Zhang, WZ,et al. Critical properties of the Hintermann-Merlini model[J]. PHYSICAL REVIEW E,2013,88(4).
APA	Ding, CX,Wang, YC,Zhang, WZ,&Guo, WN.(2013).Critical properties of the Hintermann-Merlini model.PHYSICAL REVIEW E,88(4).
MLA	Ding, CX,et al."Critical properties of the Hintermann-Merlini model".PHYSICAL REVIEW E 88.4(2013).