论文标题
二维磁晶体的参数数量最少的海森堡模型
Heisenberg models with minimal number of parameters for two-dimensional magnetic crystals
论文作者
论文摘要
在这项工作中，我们调查了海森贝格模型在单层CRI3的示例中对新型二维磁性材料的适用性。我们介绍了在磁性结构的对称操作下平均张量不变的概念，这允许各向异性张量HEISENBERG模型的参数数量显着降低，同时保持符合AB-Initio计算结果。我们以最小的参数数量的四分之一对称不变性的形式得出了对海森堡哈密顿和dzyaloshinskii-Moriya相互作用的四阶校正和Dzyaloshinskii-Moriya相互作用的表达式。在单层CRI3的情况下，我们测试了这种方法的物理充足性，利用了四态能量映射的替代方案 - 最不拟合的全参数。
In this work we investigated adequacy of the Heisenberg model application to novel two-dimensional magnetic materials, on an example of monolayer CrI3. We introduced the concept of the mean tensor invariant under symmetry operations of the magnetic structure, which allows the number of parameters of the anisotropic tensor Heisenberg model to be significantly reduced, while maintaining the compliance with the results of ab-initio calculations. We derived the expressions for fourth-order corrections to Heisenberg Hamiltonian and to Dzyaloshinskii-Moriya interaction in the form of quartic symmetry invariants with minimal number of parameters. We tested the physical adequacy of such approach in the case of monolayer CrI3, utilizing an alternative to four-states energy mapping -- the all-parameters least square fit.
