The magnetic properties of the 2D anisotropic antiferromagnetic spin‐1/2 Heisenberg model with Dzyaloshinskii–Moriya interaction and in‐plane frustration are studied. The method of spin Green's functions within the framework of Tyablikov's random‐phase‐approximation decoupling scheme is used to derive expressions for the spin‐wave spectrum, sublattice magnetization, and transition temperature. Based on these expressions, a detailed analysis of the influence of varying values of model parameters on their magnetic properties is conducted. The model is also applied to the high‐T_c superconducting parent compound La₂CuO₄ and the results compared with available experimental data.

中文翻译：

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挫折和Dzyaloshinskii-Moriya相互作用对自旋1/2各向异性海森堡反铁磁体的影响及其在La2CuO4中的应用

研究了具有Dzyaloshinskii-Moriya相互作用和面内受挫的二维各向异性反铁磁自旋1/2 Heisenberg模型的磁性能。在Tyablikov的随机相位近似解耦方案框架内的自旋格林函数方法用于导出自旋波谱，亚晶格磁化强度和转变温度的表达式。基于这些表达式，对模型参数的变化值对其磁性能的影响进行了详细分析。该模型还适用于高T _c超导母体化合物La ₂ CuO ₄，并将结果与​​可用的实验数据进行了比较。