Abstract Using Monte Carlo simulations under the Metropolis algorithm, we study the dilution effect on the magnetic properties in a bi-layer borophene structure. The system is formed by two layers, where each layer contains two sub-lattices of 210 atoms (with mixed spins σ = 3/2 and S = 5/2). The ground-state phase diagrams are presented in different physical parameter planes. Besides, the thermal variation of the total and partial magnetizations and susceptibilities are reported by applying Monte Carlo method. Furthermore, the dilution effect of the S spins and/or σ spins is investigated. It is found that the dilution affects the magnetizations and the hysteresis loops of the studied system strongly.

中文翻译：

---

稀释的双层硼烯结构的磁特性：蒙特卡罗研究

摘要 利用 Metropolis 算法下的蒙特卡罗模拟，我们研究了对双层硼烯结构中磁性能的稀释效应。该系统由两层组成，其中每一层包含两个 210 个原子的子晶格（混合自旋 σ = 3/2 和 S = 5/2）。基态相图呈现在不同的物理参数平面中。此外，通过应用蒙特卡罗方法报告了总和部分磁化强度和磁化率的热变化。此外，研究了 S 自旋和/或 σ 自旋的稀释效应。发现稀释强烈影响所研究系统的磁化强度和磁滞回线。