Width Dependent Electronic Properties of Graphene Nanoribbons: An Ab-Initio Study

We have analyzed the electronic properties of armchair and zigzag shaped graphene nanoribbons (GNRs) using density functional theory based ab-initio approach. The present computation employs the Perdew Zunger (PZ) type parameterized local density approximation (LDA) and revised Perdew Burke Ernzerhof (RPBE) type generalized gradient approximation (GGA) as exchange correlation functional. The calculated electronic band gap and density of states shows a close match with its other theoretical counterparts. In another observation, we have found a non linear variation of GNRs energy bandgap as a function of width.