论文标题

任意维度倾斜的Weyl费物的纵向光电传导率

Longitudinal optical conductivities of tilted Weyl fermions in arbitrary dimensionality

论文作者

Hou, Jian-Tong, Wang, Peng, Guo, Hong, Chang, Hao-Ran

论文摘要

通过分析计算并根据状态的关节密度来分析计算并表达倾斜的Weyl费米子中纵向光电传导率(LOC)的统一形式。结果对于平行和垂直成分以及所有倾斜相的未居丛和掺杂的情况都是有效的。此外,它们为一维,二维和三维倾斜的Weyl Systems重现了先前作品的分析结果。可靠的固定点$γ_χ^{((\ Mathrm {ib})}(ω=2μ,d \ ge 2;μ,0 <t \ le 2)= 1/2 $对于任意空间维度的倾斜dirac频段是通用的。我们的工作不仅提供了在LOC进行一对一计算之前曾经是所有方法,而且还提供了对倾斜的Weyl fermions中维数的影响的深刻见解。

The unified form of longitudinal optical conductivities (LOCs) in the tilted Weyl fermions for arbitrary spatial dimensionality are analytically calculated and expressed in terms of the joint density of state. The results are valid for both undoped and doped cases, both parallel and perpendicular components, and all the tilted phases. In addition, they reproduce analytical results of previous works for one-dimensional, two-dimensional, and three-dimensional tilted Weyl systems. The robust fixed point $Γ_χ^{(\mathrm{IB})}(ω=2μ,d\ge 2;μ,0<t\le 2)=1/2$ is universal for tilted Dirac bands in arbitrary spatial dimensionality. Our work provides not only a once-for-all method prior to the one-by-one calculation of the LOCs but also offer deep insights into the impacts of dimensionality in the tilted Weyl fermions.

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