Rarita-Schwinger-Weyl半金属在平面霍尔和平面热霍尔装置中的线性响应
Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
AI总结：
本文研究RSW半金属在平面霍尔与热霍尔装置中的线性响应，通过弹性形变引入手性有效磁场，并结合OMM与BC揭示四能带结构及面外响应机制。
摘要：
我们研究了平面霍尔和平面热霍尔装置中线性响应张量的性质，其中让Rarita-Schwinger-Weyl（RSW）半金属同时受到电场$\mathbf E$（和/或温度梯度$\nabla_{\mathbf r}T$）以及弱（即非量子化）磁场$\mathbf B$的共同影响。为计算面内输运分量，我们引入了弹性形变，它产生依赖于手性的有效磁场$\mathbf B^{\text{tot}}=\mathbf B+χ\\,\mathbf B_5$，其中$χ$是RSW节点的手性。我们纳入了轨道磁矩（OMM）与Berry曲率（BC）相结合的效应，二者均源于能带结构的非平凡拓扑。由于存在四个能带，与Weyl半金属相比，RSW半金属为获得线性响应系数提供了更丰富的结构。特别地，我们发现OMM贡献项可能抵消或叠加于仅含BC的部分，这取决于所考虑的能带。最后同样重要的是，我们确定了包含本征反常霍尔电流和Lorentz力贡献电流的面外响应，其性质与近期一些实验结果的发现相符。
英文摘要：
We investigate the nature of the linear-response tensors in planar Hall and planar thermal Hall setups, where we subject a Rarita-Schwinger-Weyl (RSW) semimetal to the combined influence of an electric field $\mathbf E $ (and/or temperature gradient $\nabla_{\mathbf r } T$) and a weak (i.e., nonquantizing) magnetic field $\mathbf B $. For computing the in-plane transport components, we have added an elastic deformation which gives rise to a chirality-dependent effective magnetic field $ \mathbf B^{\text{tot}} = \mathbf B + χ\, \mathbf B_5 $, where $χ$ is the chirality of an RSW node. We have included the effects of orbital magnetic moment (OMM), in conjunction with the Berry curvature (BC), both of which appear as a consequence of nontrivial topology of the bandstructure. Due to the presence of four bands, RSW semimetals provide a richer structure for obtaining the linear-response coefficients, compared to the Weyl semimetals. In particular, we have found that the OMM-contributed terms may oppose or add up to the BC-only parts, depending on which band we are considering. Last, but not the least, we have determined the out-of-plane response comprising the intrinsic anomalous-Hall and the Lorentz-force-contributed currents, whose nature corroborates the findings of some recent experimental results.
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