{"title":"利用细胞自动机方法构建二维中心四边形伊辛纳米粒子相图的新方法","authors":"Somayeh Hemmati, Mehrdad Ghaemi","doi":"10.1016/j.ssc.2024.115691","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, both ferromagnetic and antiferromagnetic spin configurations of a 2D-centered tetragonal Ising nanoparticle with two types of exchange interactions (<em>J</em> and <em>Jr</em>) are considered. A newly introduced algorithm using Cellular Automata simulation method, which is relied on counting the states with a magnitude of magnetization per site exceeding a threshold value <em>m</em><sub><em>t</em></sub>, is used to compute the value of the reduced critical temperature. The sensitivity of the critical temperature value to the lattice size and exchange interactions (The ratio of <em>Jr/J</em> denoted by <em>r</em> parameter) are examined. The results show that the value of the critical temperature increases with increasing lattice size with a decreasing slope. Moreover, the same behavior was observed in ferromagnetic and antiferromagnetic cases.</p></div>","PeriodicalId":430,"journal":{"name":"Solid State Communications","volume":"394 ","pages":"Article 115691"},"PeriodicalIF":2.1000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New method for constructing phase diagrams in 2D centered tetragonal Ising nanoparticles using the cellular automata approach\",\"authors\":\"Somayeh Hemmati, Mehrdad Ghaemi\",\"doi\":\"10.1016/j.ssc.2024.115691\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this study, both ferromagnetic and antiferromagnetic spin configurations of a 2D-centered tetragonal Ising nanoparticle with two types of exchange interactions (<em>J</em> and <em>Jr</em>) are considered. A newly introduced algorithm using Cellular Automata simulation method, which is relied on counting the states with a magnitude of magnetization per site exceeding a threshold value <em>m</em><sub><em>t</em></sub>, is used to compute the value of the reduced critical temperature. The sensitivity of the critical temperature value to the lattice size and exchange interactions (The ratio of <em>Jr/J</em> denoted by <em>r</em> parameter) are examined. The results show that the value of the critical temperature increases with increasing lattice size with a decreasing slope. Moreover, the same behavior was observed in ferromagnetic and antiferromagnetic cases.</p></div>\",\"PeriodicalId\":430,\"journal\":{\"name\":\"Solid State Communications\",\"volume\":\"394 \",\"pages\":\"Article 115691\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Solid State Communications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0038109824002680\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Solid State Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0038109824002680","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
摘要
本研究考虑了具有两种交换相互作用(J 和 Jr)的二维中心四边形 Ising 纳米粒子的铁磁和反铁磁自旋构型。利用新引入的蜂窝自动机模拟法算法,即依靠计算每个位点磁化幅度超过阈值 mt 的状态,来计算降低的临界温度值。研究了临界温度值对晶格尺寸和交换相互作用(Jr/J 的比值用 r 参数表示)的敏感性。结果表明,临界温度值随着晶格尺寸的增大而增大,且斜率逐渐减小。此外,在铁磁性和反铁磁性情况下也观察到了相同的行为。
New method for constructing phase diagrams in 2D centered tetragonal Ising nanoparticles using the cellular automata approach
In this study, both ferromagnetic and antiferromagnetic spin configurations of a 2D-centered tetragonal Ising nanoparticle with two types of exchange interactions (J and Jr) are considered. A newly introduced algorithm using Cellular Automata simulation method, which is relied on counting the states with a magnitude of magnetization per site exceeding a threshold value mt, is used to compute the value of the reduced critical temperature. The sensitivity of the critical temperature value to the lattice size and exchange interactions (The ratio of Jr/J denoted by r parameter) are examined. The results show that the value of the critical temperature increases with increasing lattice size with a decreasing slope. Moreover, the same behavior was observed in ferromagnetic and antiferromagnetic cases.
期刊介绍:
Solid State Communications is an international medium for the publication of short communications and original research articles on significant developments in condensed matter science, giving scientists immediate access to important, recently completed work. The journal publishes original experimental and theoretical research on the physical and chemical properties of solids and other condensed systems and also on their preparation. The submission of manuscripts reporting research on the basic physics of materials science and devices, as well as of state-of-the-art microstructures and nanostructures, is encouraged.
A coherent quantitative treatment emphasizing new physics is expected rather than a simple accumulation of experimental data. Consistent with these aims, the short communications should be kept concise and short, usually not longer than six printed pages. The number of figures and tables should also be kept to a minimum. Solid State Communications now also welcomes original research articles without length restrictions.
The Fast-Track section of Solid State Communications is the venue for very rapid publication of short communications on significant developments in condensed matter science. The goal is to offer the broad condensed matter community quick and immediate access to publish recently completed papers in research areas that are rapidly evolving and in which there are developments with great potential impact.