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. Our results show that each curve for temperature dependence of thermal conductivity includes a peak so that the height of peak reduces with magnetic field however the temperature positions of peaks is independent of magnetic field value. Moreover the increase of anisotropic parameter leads to enhance thermal conductivity values. Also the next nearest neighbor coupling constant improves thermal conductivity of localized electrons on honeycomb structure. The exponential behavior for temperature dependence of thermal conductivity at low temperatures is the novel feature in thermal conductivity results.

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了各向异性效应。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。应用格林函数方法来获得能谱负责热传输的准粒子激发。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。我们的结果表明，每条热导率的温度依赖性曲线都包含一个峰值，因此峰值高度随磁场降低，但峰值的温度位置与磁场值无关。此外，各向异性参数的增加导致热导率值的提高。此外，下一个最近邻耦合常数提高了蜂窝结构上局部电子的热导率。低温下热导率的温度依赖性的指数行为是热导率结果的新特征。