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Phase transitions of two spin-1/2 Baxter–Wu layers coupled with Ising-type interactions
引用本文:Wei Liu,Zhengxin Yan,Yixian Wang. Phase transitions of two spin-1/2 Baxter–Wu layers coupled with Ising-type interactions[J]. 理论物理通讯, 2021, 73(1): 15602-105. DOI: 10.1088/1572-9494/abc7ac
作者姓名:Wei Liu  Zhengxin Yan  Yixian Wang
作者单位:College of Science
基金项目:This work is supported by the National Science Foundation of China(Grant Nos.11405127 and 11904282).
摘    要:
Using a Monte Carlo simulation and the single histogram reweighting technique,we study the critical behaviors and phase transitions of the Baxter-Wu(BW)model on a two-layer triangular lattice with Ising-type interlayer couplings.Via the finite-size analysis,we obtain the transition temperatures and critical exponents at repulsive and attractive interlayer couplings.The data for the repulsive interlayer coupling suggest continuous transitions,and the critical behaviors are the same as those of the 2D BW model,belonging to the four-state Potts universality class.The reduced energy cumulants and the histograms reveal that attractive coupling leads to weak firstorder phase transitions.The pseudocritical exponents with the existence of the interlayer couplings indicate that the first-order transition is very close to the critical point of the 2D standard BW model.

关 键 词:Baxter-Wu  model  Monte  Carlo  simulation  critical  behavior  weak  first  order  phase  transition
收稿时间:2020-06-05

Phase transitions of two spin-1/2 Baxter–Wu layers coupled with Ising-type interactions
Wei Liu,Zhengxin Yan,Yixian Wang. Phase transitions of two spin-1/2 Baxter–Wu layers coupled with Ising-type interactions[J]. Communications in Theoretical Physics, 2021, 73(1): 15602-105. DOI: 10.1088/1572-9494/abc7ac
Authors:Wei Liu  Zhengxin Yan  Yixian Wang
Affiliation:College of Science, Xi’an University of Science and Technology, Xi’an 710054, China
Abstract:
Using a Monte Carlo simulation and the single histogram reweighting technique, we study the critical behaviors and phase transitions of the Baxter–Wu (BW) model on a two-layer triangular lattice with Ising-type interlayer couplings. Via the finite-size analysis, we obtain the transition temperatures and critical exponents at repulsive and attractive interlayer couplings. The data for the repulsive interlayer coupling suggest continuous transitions, and the critical behaviors are the same as those of the 2D BW model, belonging to the four-state Potts universality class. The reduced energy cumulants and the histograms reveal that attractive coupling leads to weak first-order phase transitions. The pseudocritical exponents with the existence of the interlayer couplings indicate that the first-order transition is very close to the critical point of the 2D standard BW model.
Keywords:Baxter–Wu model  Monte Carlo simulation  critical behavior  weak first order phase transition  
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