The role of the disorder range and electronic energy in the graphene nanoribbons perfect transmission

TL;DR

This study uses numerical methods to explore how disorder range and electronic energy affect conductance and perfect transmission in disordered graphene nanoribbons, revealing the role of intervalley scattering.

Contribution

It introduces a backscattering estimate linking perfect conductance channels to intervalley scattering in disordered graphene nanoribbons.

Findings

Transition from short- to long-range disorder impacts conductance.

Electronic energy influences the formation of perfect transmission channels.

Backscattering estimate connects conductance to intervalley scattering.

Abstract

Numerical calculations based on the recursive Green's functions method in the tight-binding approximation are performed to calculate the dimensionless conductance $g$ in disordered graphene nanoribbons with Gaussian scatterers. The influence of the transition from short- to long-ranged disorder on $g$ is studied as well as its effects on the formation of a perfectly conducting channel. We also investigate the dependence of electronic energy on the perfectly conducting channel. We propose and calculate a backscattering estimative in order to establish the connection between the perfectly conducting channel (with $g=1$) and the amount of intervalley scattering.