The role of the disorder range and electronic energy in the graphene   nanoribbons perfect transmission
  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. 
Leandro R. F. Lima, Felipe A. Pinheiro, Rodrigo B. Capaz, Caio H.   Lewenkopf, Eduardo R. Mucciolo
cond-mat.mes-hall