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Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice |
| WANG Shun1, XIE Zhi-Yuan1, CHEN Jing1, Bruce Normand2, XIANG Tao1** |
1Institute of Physics, Chinese Academy of Sciences, Beijing 100190
2Department of Physics, Renmin University of China, Beijing 100872
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WANG Shun, XIE Zhi-Yuan, CHEN Jing et al 2014 Chin. Phys. Lett. 31 070503 |
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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.
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Published: 30 June 2014
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