  We argue that the topological charge density wave phase in the quasi-2D
Kagome superconductor AV$_3$Sb$_5$ is a chiral flux phase. Considering the
symmetry of the Kagome lattice, we show that the chiral flux phase has the
lowest energy among those states which exhibit $2\times2$ charge orders
observed experimentally. This state breaks the time-reversal symmetry and
displays anomalous Hall effect. The explicit pattern of the density of this
state in real space is calculated. These results are supported by recent
experiments and suggest that these materials are a new platform to investigate
the interplay between topology, superconductivity and electron-electron
correlations.

Superconductivity;Materials Science;Strongly Correlated Electrons