Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice

作     者：王顺 谢志远 陈靖 Bruce Normand 向涛 

作者机构：Institute of Physics Chinese Academy of Sciences Beijing 100190 Department of Physics Renmin University of China Beijing 100872 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2014年第31卷第7期

页      面：41-45页

核心收录：

学科分类：080706[工学-化工过程机械] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10934008  10874215  and 11174365  and the National Basic Research Program of China under Grant Nos 2012CB921704 and 2011CB309703 

主　　题：PHASE transformations (Physics) FERROMAGNETIC materials CUBIC crystal system CRYSTAL lattices SINGULAR value decomposition 

摘      要：We investigate the 2- and 3-state ferromagnetic Ports models on the simple cubic lattice using the tensor renorrealization group method with higher-order singular value decomposition （FIOTRG）. HOTRG works in the thermodynamic limit, where we use the Zq symmetry of the model, combined with a new measure for detecting the transition, to improve the accuracy of the critical point for the 2-state model by two orders of magnitude, obtaining Tc = 4.51152469（1）. The 3-state model is far more complex, and we improve the overall understanding of this case by calculating its thermodynamic quantities with high accuracy. Our results verify that the first-order nature of the phase transition and the HOTRG transition temperature benchmarks the most recent Monte Carlo result.