利用标准的自旋波理论,研究了二维三角海森堡反铁磁体的色散关系.分别采用了三子格模型和单子格模型来描述同一平面上几何阻挫的三角反铁磁结构,并对两者的结果进行了比较和分析.研究表明无论是基于三子格模型还是基于单子格模型,磁激发展示了一致的机制,色散关系也完全相同.单子格模型的研究为以后计算三维六角密排晶格的磁激发提供了简便的方法.
On the basis of standard spin-wave theory, the magnetic dispersion relations for a two-dimensional Heisenberg antiferromaguet are investigated. Both three-sublattiee model and one-sublattiee model are utilized to describe the geometrical frustration of triangular antiferromagnetic structure. No matter based on the three-sublattice model or on the one-sublattice model, the magnetic excitation exhibits the unified mechanism and the dispersion relation shows exactly the same behaviors. Therefore, the one-sublattice model is a simplified and efficient approach, which can be used to further investigate the magnetic excitation of three-dimensional triangular antiferromaguet.