各向异性多带系统中电子的扩散密度响应
Diffusive density response of electrons in anisotropic multiband systems
摘要：
我们明确地计算了各向异性多带系统中存在的杂质，包括长程无序的密度-密度响应函数与保存顶点校正。正确地考虑了顶点修正的方向依赖性，以获得由费米表面上的分量输运弛豫时间和速度的组合给出的扩散常数。我们还研究了各种各向异性系统的扩散密度响应，提出了相应的扩散常数的一些经验规则，并证明了考虑输运弛豫时间的组分依赖性对于正确解释各向异性系统的输运性质是至关重要的，特别是在每个方向上具有不同幂律色散的各种拓扑材料。
英文摘要：
We explicitly calculate the density-density response function with conserving vertex corrections for anisotropic multiband systems in the presence of impurities including long-range disorder. The direction-dependence of the vertex corrections is correctly considered to obtain the diffusion constant which is given by the combination of the componentwise transport relaxation times and velocities on the Fermi surface. We also investigate the diffusive density response of various anisotropic systems, propose some empirical rules for the corresponding diffusion constant, and demonstrate that it is crucial to consider the component-dependence of the transport relaxation times to correctly interpret the transport properties of anisotropic systems, especially various topological materials with a different power-law dispersion in each direction.
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