Phase transitions of the five-state clock model on the square lattice

doi:10.1088/1674-1056/27/8/080503

中国物理B ›› 2018, Vol. 27 ›› Issue (8): 80503-080503.doi: 10.1088/1674-1056/27/8/080503

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Phase transitions of the five-state clock model on the square lattice

Yong Chen(陈勇), Zhi-Yuan Xie(谢志远), Ji-Feng Yu(余继锋)

1 Department of Applied Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China;
2 Department of Physics, Renmin University of China, Beijing 100872, China

收稿日期:2018-04-23 修回日期:2018-05-12 出版日期:2018-08-05 发布日期:2018-08-05
通讯作者: Ji-Feng Yu E-mail:yujifeng@hnu.edu.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 531107040857), the Natural Science Foundation of Hunan Province, China (Grant No. 851204035), and the National Natural Science Foundation of China (Grant No. 11774420).

Phase transitions of the five-state clock model on the square lattice

Yong Chen(陈勇)¹, Zhi-Yuan Xie(谢志远)², Ji-Feng Yu(余继锋)¹

1 Department of Applied Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China;
2 Department of Physics, Renmin University of China, Beijing 100872, China

Received:2018-04-23 Revised:2018-05-12 Online:2018-08-05 Published:2018-08-05
Contact: Ji-Feng Yu E-mail:yujifeng@hnu.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 531107040857), the Natural Science Foundation of Hunan Province, China (Grant No. 851204035), and the National Natural Science Foundation of China (Grant No. 11774420).

摘要/Abstract

摘要：

Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly by the correlation function at three representative temperatures. By calculating the magnetic susceptibility, we obtained only the upper critical temperature as T_c2=0.9565(7). Investigating the fixed-point tensor, we precisely locate the transition temperatures at T_c1=0.9029(1) and T_c2=0.9520(1), consistent well with the Monte Carlo and the density matrix renormalization group results.

关键词: five-state clock model, phase transition, tensor renormalization group, HOTRG

Abstract:

Key words: five-state clock model, phase transition, tensor renormalization group, HOTRG

中图分类号: (Phase transitions: general studies)

05.70.Fh

05.10.Cc (Renormalization group methods) 75.10.Hk (Classical spin models)

陈勇, 谢志远, 余继锋. Phase transitions of the five-state clock model on the square lattice[J]. 中国物理B, 2018, 27(8): 80503-080503.

Yong Chen(陈勇), Zhi-Yuan Xie(谢志远), Ji-Feng Yu(余继锋). Phase transitions of the five-state clock model on the square lattice[J]. Chin. Phys. B, 2018, 27(8): 80503-080503.

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Phase transitions of the five-state clock model on the square lattice

Phase transitions of the five-state clock model on the square lattice

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