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
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
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.
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.
WANG Meng-Xiong;CAI Jian-Wei;XIE Zhi-Yuan;CHEN Qiao-Ni;ZHAO Hui-Hai;WEI Zhong-Chao. Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States[J]. 中国物理快报, 2010, 27(7): 76402-076402.
WANG Meng-Xiong, CAI Jian-Wei, XIE Zhi-Yuan, CHEN Qiao-Ni, ZHAO Hui-Hai, WEI Zhong-Chao. Investigation of the Potts Model on Triangular Lattices by the Second Renormalization of Tensor Network States. Chin. Phys. Lett., 2010, 27(7): 76402-076402.
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2010, Vol. 27 
