{"title":"二维三角形晶格上自旋-3/2 和自旋-3 混合伊辛铁磁体的磁性和热力学特性:蒙特卡罗研究","authors":"D. Fouejio, P. Noudem, S.S. Zekeng","doi":"10.1016/j.cjph.2024.09.041","DOIUrl":null,"url":null,"abstract":"<div><div>Monte Carlo methods in the presence and absence of an external magnetic field were used to investigate the thermodynamic and magnetic properties of the mixed spins (3/2, 3) Ising ferrimagnets in a 2D triangular lattice consisting of sublattices A, B, and C. Two types of mixing were considered: <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model I) and <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model II). In contrast to bipartite lattices, the antiferromagnetic coupling between spin-3/2 and spin-3 in the triangular lattice leads to geometric frustrations that impact magnetic properties. Determination of ground state phase diagrams, combined with verification of whether or not there was magnetic hysteresis when crossing each transition line, revealed first- and second-order phase transition lines, as well as multicritical points. The temperature investigation in the absence of an external magnetic field revealed rich magnetic properties such as 1st- and 2nd-order phase transitions, N- and L-type compensation points, tricritical points, and critical endpoints, as well as M-, P-, Q-, R- and S-type total magnetization behaviours. The effect of the crystal field on finite-temperature phase diagrams and compensation behaviour was also carried out. As a result, the critical temperatures of Model II become constant when the crystal field is sufficiently strong. In contrast, several critical values of the crystal field for which the critical temperature is zero were identified for Model I. In the presence of a magnetic field, hysteresis behaviour and associated magnetic properties such as coercivity and magnetic remanence were investigated. The effect of crystal field and temperature was explored. Hysteresis of one to four loops were found at low temperatures when the crystal field varied. Finally, as the temperature rises, the hysteresis loops' area decreases to zero at high temperatures.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Magnetic and thermodynamic properties of mixed spin-3/2 and spin-3 Ising ferrimagnets on a 2D triangular lattice: Monte Carlo study\",\"authors\":\"D. Fouejio, P. Noudem, S.S. Zekeng\",\"doi\":\"10.1016/j.cjph.2024.09.041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Monte Carlo methods in the presence and absence of an external magnetic field were used to investigate the thermodynamic and magnetic properties of the mixed spins (3/2, 3) Ising ferrimagnets in a 2D triangular lattice consisting of sublattices A, B, and C. Two types of mixing were considered: <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model I) and <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model II). In contrast to bipartite lattices, the antiferromagnetic coupling between spin-3/2 and spin-3 in the triangular lattice leads to geometric frustrations that impact magnetic properties. Determination of ground state phase diagrams, combined with verification of whether or not there was magnetic hysteresis when crossing each transition line, revealed first- and second-order phase transition lines, as well as multicritical points. The temperature investigation in the absence of an external magnetic field revealed rich magnetic properties such as 1st- and 2nd-order phase transitions, N- and L-type compensation points, tricritical points, and critical endpoints, as well as M-, P-, Q-, R- and S-type total magnetization behaviours. The effect of the crystal field on finite-temperature phase diagrams and compensation behaviour was also carried out. As a result, the critical temperatures of Model II become constant when the crystal field is sufficiently strong. In contrast, several critical values of the crystal field for which the critical temperature is zero were identified for Model I. In the presence of a magnetic field, hysteresis behaviour and associated magnetic properties such as coercivity and magnetic remanence were investigated. The effect of crystal field and temperature was explored. Hysteresis of one to four loops were found at low temperatures when the crystal field varied. Finally, as the temperature rises, the hysteresis loops' area decreases to zero at high temperatures.</div></div>\",\"PeriodicalId\":10340,\"journal\":{\"name\":\"Chinese Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S057790732400385X\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S057790732400385X","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
我们使用蒙特卡洛方法,在存在和不存在外部磁场的情况下,研究了由子晶格 A、B 和 C 组成的二维三角形晶格中混合自旋 (3/2, 3) 伊辛铁氧体的热力学和磁学特性:S→=(SA,SB,SC)=(3/2,3,3)(模型 I)和 S→=(SA,SB,SC)=(3/2,3,3/2)(模型 II)。与二方晶格相比,三角形晶格中自旋-3/2 和自旋-3 之间的反铁磁耦合会导致几何挫折,从而影响磁性能。在确定基态相图的同时,还验证了在跨越每条过渡线时是否存在磁滞现象,发现了一阶和二阶相变线以及多临界点。在没有外磁场的情况下进行的温度研究揭示了丰富的磁特性,如一阶和二阶相变、N 型和 L 型补偿点、三临界点和临界端点,以及 M 型、P 型、Q 型、R 型和 S 型全磁化行为。此外,还研究了晶体场对有限温度相图和补偿行为的影响。结果发现,当晶体场足够强时,模型 II 的临界温度变得恒定。与此相反,对模型 I 确定了临界温度为零的几个晶体场临界值。在磁场存在的情况下,研究了磁滞行为和相关磁特性,如矫顽力和磁剩磁。还探讨了晶体场和温度的影响。在低温条件下,当晶体磁场变化时,会出现一至四个磁环的磁滞现象。最后,随着温度的升高,磁滞环的面积在高温下减小到零。
Magnetic and thermodynamic properties of mixed spin-3/2 and spin-3 Ising ferrimagnets on a 2D triangular lattice: Monte Carlo study
Monte Carlo methods in the presence and absence of an external magnetic field were used to investigate the thermodynamic and magnetic properties of the mixed spins (3/2, 3) Ising ferrimagnets in a 2D triangular lattice consisting of sublattices A, B, and C. Two types of mixing were considered: (Model I) and (Model II). In contrast to bipartite lattices, the antiferromagnetic coupling between spin-3/2 and spin-3 in the triangular lattice leads to geometric frustrations that impact magnetic properties. Determination of ground state phase diagrams, combined with verification of whether or not there was magnetic hysteresis when crossing each transition line, revealed first- and second-order phase transition lines, as well as multicritical points. The temperature investigation in the absence of an external magnetic field revealed rich magnetic properties such as 1st- and 2nd-order phase transitions, N- and L-type compensation points, tricritical points, and critical endpoints, as well as M-, P-, Q-, R- and S-type total magnetization behaviours. The effect of the crystal field on finite-temperature phase diagrams and compensation behaviour was also carried out. As a result, the critical temperatures of Model II become constant when the crystal field is sufficiently strong. In contrast, several critical values of the crystal field for which the critical temperature is zero were identified for Model I. In the presence of a magnetic field, hysteresis behaviour and associated magnetic properties such as coercivity and magnetic remanence were investigated. The effect of crystal field and temperature was explored. Hysteresis of one to four loops were found at low temperatures when the crystal field varied. Finally, as the temperature rises, the hysteresis loops' area decreases to zero at high temperatures.
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