Quantum transport in three-dimensional Weyl electron system in the presence of charged impurity scattering
Quantum transport in three-dimensional Weyl electron system in the presence of charged impurity scattering
复制标题
DOI：
10.1103/physrevb.91.035202
复制
发表时间：
2014-10
影响因子：
3.7
通讯作者：
Yuya Ominato;M. Koshino
中科院分区：
文献类型：
--
作者：
Yuya Ominato;M. Koshino
利用自洽玻恩近似（SCBA）理论研究了带电杂质散射下三维Weyl电子系统中的量子输运。散射强度由有效精细结构常数$\alpha$表征，该常数取决于线性带的介电常数和费米速度。我们发现玻尔兹曼理论在带接触点失效，在带接触点，电导率几乎是恒定的，几乎与$\ α $无关，尽管态密度随$\ α $线性增加。电导率的大小只取决于杂质的密度。定性行为与高斯杂质的情况大不相同，高斯杂质的最小电导率在某一临界杂质强度以下消失。
We theoretically study the quantum transport in three-dimensional Weyl electron system in the presence of the charged impurity scattering using a self-consistent Born approximation (SCBA). The scattering strength is characterized by the effective fine structure constant $\alpha$, which depends on the dielectric constant and the Fermi velocity of the linear band. We find that the Boltzmann theory fails at the band touching point, where the conductivity takes a nearly constant value almost independent of $\alpha$, even though the density of states linearly increases with $\alpha$. There the magnitude of the conductivity only depends on the impurity density. The qualitative behavior is quite different from the case of the Gaussian impurities, where the minimum conductivity vanishes below a certain critical impurity strength.