Influence of Magnetic Field on Phase Transitions in the Antiferromagnetic Potts Model

IF 1.1 4区 材料科学 Q3 METALLURGY & METALLURGICAL ENGINEERING Physics of Metals and Metallography Pub Date : 2024-08-09 DOI:10.1134/s0031918x24600246
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva
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Abstract

Based on the replica exchange algorithm of the Monte Carlo method, the influence of an external magnetic field on phase transitions and thermodynamic properties of the two-dimensional antiferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice was studied. The studies were conducted in the range of external magnetic field values of 0.0 ≤ h ≤ 10.0. The magnetic field is measured in relative units of exchange interaction between nearest neighbors |J1|. The magnetic structures of the ground state were obtained, and the nature of phase transitions in the considered field range was analyzed. It has been established that in the intervals 0.0 ≤ h ≤ 3.0 and 6.0 ≤ h ≤ 6.5 a first-order phase transition is observed. It is shown that at the external magnetic field values h = 3.5 and 5.5, the system is frustrated, and in the magnetic field intervals 4.0 ≤ h ≤ 5.0 and 7.0 ≤ h ≤ 8.5, the system approaches the frustration regime. It was found that strong magnetic fields (h ≥ 9.0) suppress the phase transition in the system.

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磁场对反铁磁波茨模型相变的影响
摘要 基于蒙特卡洛法的复制交换算法,研究了外磁场对六面体晶格上自旋态数为 q = 4 的二维反铁磁波茨模型的相变和热力学性质的影响。研究在 0.0 ≤ h ≤ 10.0 的外磁场值范围内进行。磁场是以近邻间交换相互作用的相对单位|J1|来测量的。得到了基态的磁结构,并分析了在所考虑的磁场范围内相变的性质。结果表明,在 0.0 ≤ h ≤ 3.0 和 6.0 ≤ h ≤ 6.5 的区间内,可以观察到一阶相变。研究表明,在外部磁场值 h = 3.5 和 5.5 时,系统处于沮散状态,而在磁场区间 4.0 ≤ h ≤ 5.0 和 7.0 ≤ h ≤ 8.5 时,系统接近沮散状态。研究发现,强磁场(h ≥ 9.0)抑制了系统中的相变。
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来源期刊
Physics of Metals and Metallography
Physics of Metals and Metallography 工程技术-冶金工程
CiteScore
2.00
自引率
25.00%
发文量
108
审稿时长
3 months
期刊介绍: The Physics of Metals and Metallography (Fizika metallov i metallovedenie) was founded in 1955 by the USSR Academy of Sciences. Its scientific profile involves the theory of metals and metal alloys, their electrical and magnetic properties, as well as their structure, phase transformations, and principal mechanical properties. The journal also publishes scientific reviews and papers written by experts involved in fundamental, application, and technological studies. The annual volume of publications amounts to some 250 papers submitted from 100 leading national scientific institutions.
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