English

Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements

Mesoscale and Nanoscale Physics 2020-05-22 v1 Statistical Mechanics

Abstract

A transfer matrix approach is used to study the electronic transport in graphene superlattices with long-range correlated barrier spacements. By considering the low-energy electronic excitations as massless Dirac fermions, we compute by transmission spectra of graphene superlattices with potential barriers having spacements randomly distributed with long-range correlations governed by a power-law spectral density S(k)1/kαS(k)\propto 1/k^{\alpha}. We show that at large incidence angles, the correlations in the disorder distribution do not play a significant role in the electronic transmission. However, long-range correlations suppress the Anderson localization as normal incidence is approached and a band of transmitting modes sets up reminiscent of Klein tunneling.

Keywords

Cite

@article{arxiv.2005.10591,
  title  = {Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements},
  author = {Anderson L. R. Barbosa and Jonas R. F. Lima and Ícaro S. F. Bezerra and Marcelo L. Lyra},
  journal= {arXiv preprint arXiv:2005.10591},
  year   = {2020}
}