Tight-Binding Description of Patterned Graphene

For the first time, we investigate the tight-binding approximation for the dispersion of π and π ∗ electronic bands in patterned Graphene including up to five nearest neighbors. As we show by applying special defects in Graphene structure, an energy gap appears at Dirac points and the effective mass of fermions also becomes a function of the number of defects per unit cell.

Keywords:

Band Structure , Band Gap Graphene , Tight Binding