The propagation of wave packets in a monolayer graphene containing a random distribution of dopant atoms has been explored. The time-dependent, two-dimensional Weyl-Dirac equation was solved numerically to propagate an initial Gaussian-type wave front and to investigate how the set of impurities influences its motion. It has been observed that the charge transport in doped graphene differs from the pristine case. In particular, nitrogen substitutional doping reduces the charge mobility in graphene due to backscattering effects.
Rakhimov, K., Chaves, A., & Lambin, P. (2016). Scattering of Dirac electrons by randomly distributed nitrogen substitutional impurities in graphene. Applied Sciences, 6(9), . https://doi.org/10.3390/app6090256