MétodoTight-Binding aplicado a nanofita de grafeno com campo elétrico

Abstract

In this paper, we investigate the eletronic properties of a graphene nanoribbon in a region where there is an eletric potential that depends on the postion of the line. We work in the aproximation that an electron propagating itself in the nanoribbon satisfies a Hamiltonian with next nearest neighbours interaction. We use two geometries for the edges: armchair and zigzag. Firstly, we consider the situation where there is no eletric potential and we investigate how the dispertion relation depends on the nearest and next nearest neighbours interaction energy. Then, we investigated the changes in dispertion relation to an eletric field, induced by an electric potential thats grows linearly with the position. Finally, we analyzed the situation in which the nanoribbon is submitted to a potential well.