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

Nematic Metal and Antiferromagnetic Insulator on Hexagonal Kagome Lattice