论文标题
二维挫败自旋1/2海森贝格磁晶格的绿色功能方法
A Green's function method for the two-dimensional frustrated spin-1/2 Heisenberg magnetic lattice
论文作者
论文摘要
木绿色的方程是通过Schwinger功能衍生技术得出的,所得的自洽的Green功能方法用于计算具有沮丧的Spin-1/2 Heisenberg Exchange Coupling的二维磁系统的基态自旋模式和磁性结构因子。与随机相近似处理相比,纳入自我能源校正可以提高标量产品相互作用的准确性,如我们的方法与均匀和非均匀有限系统中的方法与精确基准之间的比较所示。我们还发现,对于跨产品相互作用(例如,反对称交换),该方法的性能不佳,并且包括较高校正的方法。除了未来工作的指示外,我们的结果清楚地表明,此处提出的形式的绿色功能方法已经在描述具有大量原子以及远距离相互作用的系统中显示了潜在的优势。
The magnon Hedin's equations are derived via the Schwinger functional derivative technique, and the resulting self-consistent Green's function method is used to calculate ground state spin patterns and magnetic structure factors for 2-dimensional magnetic systems with frustrated spin-1/2 Heisenberg exchange coupling. Compared to random-phase approximation treatments, the inclusion of a self-energy correction improves the accuracy in the case of scalar product interactions, as shown by comparisons between our method and exact benchmarks in homogeneous and inhomogeneous finite systems. We also find that for cross-product interactions (e.g. antisymmetric exchange), the method does not perform equally well, and an inclusion of higher corrections is in order. Aside from indications for future work, our results clearly indicate that the Green's function method in the form proposed here already shows potential advantages in the description of systems with a large number of atoms as well as long-range interactions.