论文标题
狄拉克量子动力学方程：重新审视的最小电导率
Dirac quantum kinetic equation: minimal conductivity revisited
论文作者
论文摘要
用于描述狄拉克系统的动力学方程未完全考虑到在狄拉克点附近起重要作用的两个功能：（i）自由度的自由度，特别是如果Spin-Flip Energy $ 2 VP $不再大； （ii）由于较大的费米波长而导致的半经典近似失败。在我们的工作中，我们提出了一种新颖的量子动力学方程，没有这两个缺点。在存在短范围障碍的情况下，我们证明了它如何预测2D Dirac系统中正确的最小电导率，这一结果仅通过Kubo公式（例如Kubo公式）获得。提出的动力学方程的性质为深度量子甚至密切相关的狄拉克系统的动力学描述提供了可能性。
The kinetic equation used for the description of Dirac systems does not fully take into account two features that play an important role in the vicinity of the Dirac point: (i) the spin degree of freedom, in particular if the spin-flip energy $2 vp$ is not large anymore; and (ii) the failure of the semiclassical approximation due to the large Fermi wavelength. In our work, we propose a novel quantum kinetic equation, which does not have these two drawbacks. Exploiting it in the presence of short range disorder, we demonstrate how it predicts the correct minimal conductivity in 2D Dirac system, a result that has so far been obtained only by other methods like the Kubo formula. The nature of the presented kinetic equation opens up the possibility for the kinetic description of deeply quantum and even strongly correlated Dirac systems.
