  Hexagonal Kagome lattice is a multiband system with a quadratic band crossing
point, in contrast with honeycomb lattice with linear band crossing point,
which has exotic correlated effect and can produce various novel quantum
states. Here we investigate the phase diagram of the fermions on the hexagonal
Kagome lattice as a function of interaction, temperature and lattice
anisotropy, by combining the cellular dynamical mean-field theory with the
continuous time quantum Monte Carlo method. For weak interaction, the quadratic
band-crossing point is broken to linear band crossing point and the system is
the semi-metal. With the increasing of the interaction, the system goes a first
order transition to antiferromagnetic Mott insulator at low temperature. Below
a critical temperature, due to the charge nematic fluctuation, a nematic metal
forms between the weak coupling semi-metal and strong correlated Mott
insulator. When the lattice anisotropy increases, the region of the nematic
metal is enlarged. Furthermore, we discuss how to detect these phases in real
experiments.
