We study the thermal conductivity of a spin-1/2 two-dimensional anisotropic antiferromagnet on honeycomb lattice in the presence of antiferromagnetic long range ordering. The conductivity has been studied along zigzag direction. Next nearest neighbor exchange coupling has been added to the model Hamiltonian. The possible effects of spin-orbit coupling are investigated by adding Dzyaloshinskii-Moriya interaction to the model Hamiltonian. Such interaction creates anisotropic effects in the model Hamiltonian. The original antiferromagnetic model hamiltonian is mapped to a bosonic model via linear spin wave theory in the context of Holstein Primakoff transformations. The Green's function approach is applied to obtain the energy spectrum of quasi-particle excitations responsible for thermal transport. We have found the temperature dependence of static thermal conductivity in the magnetic long range ordering phase for various next nearest neighbor coupling constant and anisotropy parameter. Furthermore we have studied the temperature dependence of the static thermal conductivity for various Dzyaloshinskii-Moriya interaction strength and next nearest neighbor coupling constants.

我们研究了在反铁磁长程有序存在下蜂窝晶格上自旋 1/2 二维各向异性反铁磁体的热导率。已经研究了沿锯齿形方向的电导率。下一个最近邻交换耦合已添加到模型哈密顿量中。通过将 Dzyaloshinskii-Moriya 相互作用添加到模型哈密顿量来研究自旋轨道耦合的可能影响。这种相互作用在模型哈密顿量中产生各向异性效应。在 Holstein Primakoff 变换的背景下，原始的反铁磁模型汉密尔顿通过线性自旋波理论映射到玻色子模型。格林函数方法用于获得负责​​热传输的准粒子激发的能谱。我们已经发现对于各种次最近邻耦合常数和各向异性参数，磁性长程有序相中静态热导率的温度依赖性。此外，我们研究了各种 Dzyaloshinskii-Moriya 相互作用强度和下一个最近邻耦合常数的静态热导率的温度依赖性。