TIGHT-BINDING PARAMETERS FOR GRAPHENE

Abstract

In this article, we have reproduced the tight-binding π band dispersion of graphene including up to third nearest-neighbors and also calculated the density of states of π band within the same model. The aim was to find out a set of parameters descending in order as distance towards third nearest-neighbor increases compared to that of first and second nearest-neighbors with respect to an atom at the origin. Here we have discussed two such sets of parameters by comparing the results with first principle band structure calculation.1