Electron hydrodynamics of two-dimensional anomalous Hall materials

We study two-dimensional (2D) electron systems in the hydrodynamic regime. show that a geometrical Berry curvature modifies effective Navier-Stokes equation for viscous flow topological materials. For small electric fields, Hall current becomes negligible compared to longitudinal current. In this regime, we highlight an unconventional Poiseuille with asymmetric profile and deviation of maximum from center system. 2D infinite geometry, leads whirlpools asymmetry potential profile. This phenomenon can be probed by measuring nonlocal resistance