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Phase transition in a honeycomb lattice is studied by the means of the twodimensional Hubbard model and the exact diagonalization dynamical mean fieldtheory at zero temperature. At low energies, the dispersion relation is shownto be a linear function of the momentum. In the limit of weak interactions, thesystem is in the semi-metal phase. By increasing the on site interaction asemi-metal to insulator transition takes place in the paramagnetic phase.Calculation of double occupancy shows such a phase transition is of the secondorder. The respective phase transition point and critical on-site interactionare determined using renormalized Fermi velocity factor.

Exact Diagonalization Study of 2D Hubbard Model on Honeycomb Lattice: Semi-metal-Insulator Transition