Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
WANG Shun1 , XIE Zhi-Yuan1 , CHEN Jing1 , Bruce Normand2 , XIANG Tao1**
1 Institute of Physics, Chinese Academy of Sciences, Beijing 1001902 Department of Physics, Renmin University of China, Beijing 100872
Abstract ：We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decomposition (HOTRG). 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.
出版日期: 2014-06-30
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2014, Vol. 31 
