| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States |
WANG Meng-Xiong1,2, CAI Jian-Wei2, XIE Zhi-Yuan3, CHEN Qiao-Ni3, ZHAO Hui-Hai2, WEI Zhong-Chao2 |
| 1Institute of Modern Physics, Northwest University, Xian 710075 2Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190 3Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 |
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| Cite this article: |
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WANG Meng-Xiong, CAI Jian-Wei, XIE Zhi-Yuan et al 2010 Chin. Phys. Lett. 27 076402 |
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Abstract We employ the second renormalization group method of tensor-network states to investigate thermodynamic properties of the ferromagnetic and antiferromagnetic Potts model on triangular lattices. From the temperature dependence of the internal energy and the specific heat, both the critical temperatures and critical exponents are evaluated. For the q=3 antiferromagnetic Potts model, the critical temperature is found to be Tc = 0.627163 ±0.000003, which is at least one order of magnitude more accurate than that obtained by other methods.
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| Keywords:
64.60.De
05.10.Cc
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Received: 14 April 2010
Published: 28 June 2010
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| PACS: |
64.60.De
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(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
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05.10.Cc
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(Renormalization group methods)
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