论文标题
异常材料的电子流体力学
Electron hydrodynamics of anomalous Hall materials
论文作者
论文摘要
我们研究流体动力状态中的二维电子系统。我们表明，几何浆果曲率修饰了拓扑材料中粘性电子流的有效纳维尔 - 螺旋式方程。对于小型电场，与粘性纵向电流相比，大厅电流可以忽略不计。在这个制度中，我们强调了一个非常规的Poiseuille流，具有不对称的轮廓和电流最大偏离系统中心的偏差。在二维无限几何形状中，浆果曲率导致当前的漩涡和潜在特征的不对称性。可以通过测量不对称的非本地电阻曲线来探测这种现象。
We study two-dimensional electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields, the Hall current becomes negligible compared to the viscous longitudinal current. In this regime, we highlight an unconventional Poiseuille flow with an asymmetric profile and a deviation of the maximum of the current from the center of the system. In a two-dimensional infinite geometry, the Berry curvature leads to current whirlpools and an asymmetry of potential profile. This phenomenon can be probed by measuring the asymmetric non-local resistance profile.
