Abstract Using the Monte Carlo simulation method within Ising model framework in two dimension, this work presents the study of the magnetic properties of Zn(1-x)MnxO (x = 0.05, 0.1, 0.2). In the simulation process, a classical Metropolis algorithm has been used to update the distribution of spins in the matrix and the algorithm is written in Python language. The simulation is based on the Ruderman–Kittel–Kasuya–Yosida (RKKY) indirect exchange interaction of doped Mn ions in host ZnO. We have analysed the results for a finite size system and have investigated the susceptibility, Binder parameter and specific heat as a function of temperature and doping concentration. The magnetic ordering is obtained for 5 and 10% doping at low temperature region while higher doping concentration (20%) leads to dominance of anti-ferromagnetic exchange interaction. Based on these theoretical results the prediction of magnetic properties of such kind dilute magnetic semiconductor (DMS) systems is possible. We believe that present theoretical analysis of the magnetic properties of DMS will provide valuable information about the two dimensional diluted system/structure.

中文翻译：

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Mn掺杂ZnO的磁性能：蒙特卡罗模拟分析

摘要 本工作在二维 Ising 模型框架内使用蒙特卡罗模拟方法，对 Zn(1-x)MnxO (x = 0.05, 0.1, 0.2) 的磁性进行了研究。在仿真过程中，采用经典的Metropolis算法更新矩阵中的自旋分布，算法采用Python语言编写。该模拟基于主体 ZnO 中掺杂的 Mn 离子的 Ruderman-Kittel-Kasuya-Yosida (RKKY) 间接交换相互作用。我们分析了有限尺寸系统的结果，并研究了作为温度和掺杂浓度函数的磁化率、粘合剂参数和比热。在低温区域获得 5% 和 10% 掺杂的磁性排序，而较高的掺杂浓度 (20%) 导致反铁磁交换相互作用占主导地位。基于这些理论结果，可以预测这种稀磁半导体 (DMS) 系统的磁特性。我们相信，目前对 DMS 磁性的理论分析将提供有关二维稀释系统/结构的有价值的信息。