论文标题
边缘共享八面体蜂窝晶格中张量的对称分析
Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
论文作者
论文摘要
我们获得了由属于不同晶体学点组的晶体的蜂窝晶格的晶体对称性允许的等级-2和等级3张量的最通用形式，包括单胶条点组$ 2/m $和trigonal（或rhombohedral）（或Rhombohedral）点组$ \ bar $ \ bar $ \ bar {3} $。我们的结果与二维材料有关，例如$α$ -RUCL $ _3 $，CRI $ _3 $和HONEYCOMB Iridates。我们专注于磁性依赖性的热导率张量$κ_{ij}（\ mathbf {h}）$，该$描述了系统的纵向和热霍尔响应，对于沿高对称性方向（垂直于平面以及平面和平面）的高对称性方向施加了磁场时，它描述了系统的纵向和热霍尔响应。我们强调了一些意外的结果，例如，在具有三倍旋转对称性的系统的等级3张量中，完全纵向成分的平等性，并对导热性张量进行可测试的预测。
We obtain the most general forms of rank-2 and rank-3 tensors allowed by the crystal symmetries of the honeycomb lattice of edge-sharing octahedra for crystals belonging to different crystallographic point groups, including the monoclinic point group $2/m$ and the trigonal (or rhombohedral) point group $\bar{3}$. Our results are relevant for two-dimensional materials, such as $α$-RuCl$_3$, CrI$_3$, and the honeycomb iridates. We focus on the magnetic-field-dependent thermal conductivity tensor $κ_{ij}(\mathbf{H})$, which describes a system's longitudinal and thermal Hall responses, for the cases when the magnetic field is applied along high-symmetry directions, perpendicular to the plane and in the plane. We highlight some unexpected results, such as the equality of fully-longitudinal components to partially-transverse components in rank-3 tensors for systems with three-fold rotational symmetry, and make testable predictions for the thermal conductivity tensor.
