论文标题
在最低的降水液中的扩散运输2D半学水平：均方置换方法
Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach
论文作者
论文摘要
我们研究了位于均匀垂直磁场中的最低降低二维半学水平的电子传输。材料系统是由Bernevig-Hughes-Zhang Hamiltonian建模的，由于材料的固有浆果曲率，该模式为零。这些事实对状态的密度和无序系统的静电性至关重要。我们基于平均平方位移的运动方程式开发了一种分析方法来扩散和电导率。零模式电导率的获得的值接近无磁场的无序狄拉克电子的电导率，磁场在频谱中也具有零能点。我们的分析适用于强磁场中无序的二维电子气体的更广泛的背景。
We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig-Hughes-Zhang Hamiltonian, which has zero energy Landau modes due to the material's intrinsic Berry curvature. These turn out to be crucially important for the density of states and the static conductivity of the disordered system. We develop an analytical approach to the diffusion and conductivity based on a self-consistent equation of motion for the mean squared displacement. The obtained value of the zero mode conductivity is close to the conductivity of disordered Dirac electrons without magnetic fields, which have zero energy points in the spectrum as well. Our analysis is applicable in a broader context of disordered two-dimensional electron gases in strong magnetic fields.
