Some Properties of Bilayer Graphene Nanoribbons

TL;DR

This paper investigates the electronic properties of AA-bilayer graphene nanoribbons using tight binding calculations, considering edge effects, next-nearest neighbor hopping, and impurities, with a focus on interlayer interactions.

Contribution

It introduces a numerical method for analyzing bilayer graphene nanoribbons, incorporating edge effects, impurities, and interlayer hopping in a generalized diagonalization framework.

Findings

Edge effects significantly influence electronic states.

Impurities alter the local density of states.

Interlayer hopping modifies the band structure.

Abstract

In this work the tight binding model calculations are carried out for AA-Bilayer Graphene nanoribbons as an example of bilayer systems. The effects of edges, NNN hopping, and impurities of a single layer are introduced numerically as a change in the elements of the relevant block diagonal matrix appearing in the direct diagonalization method. The direct interlayer hopping between the top and the bottom single layers is constructed in the generalized direct diagonalization method by the off-diagonal block matrices in which the strength of the interlayer hopping is included.