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

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

Abstract

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.

Keywords: five-state clock model phase transition tensor renormalization group HOTRG

Received: 23 April 2018
Revised: 12 May 2018
Accepted manuscript online:

PACS:	05.70.Fh	(Phase transitions: general studies)
	05.10.Cc	(Renormalization group methods)
	75.10.Hk	(Classical spin models)

Fund:

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).

Corresponding Authors: Ji-Feng Yu
E-mail: yujifeng@hnu.edu.cn

Cite this article:

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 2018 Chin. Phys. B 27 080503

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

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