English

Two-dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity and Anderson Transition

Mesoscale and Nanoscale Physics 2012-08-09 v1

Abstract

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic {\pi}-{\pi}* tight-binding model elaborated from ab initio calculations. Mean free paths and semiclassical conductivities are then computed as a function of the nature and density of defects (using an order-N real-space Kubo-Greenwood method). By increasing of the defect density, the decay of the semiclassical conductivities is predicted to saturate to a minimum value of 4e^2/{\pi}h over a large range (plateau) of carrier density (> 0.5 10^{14}cm^{-2}). Additionally, strong contributions of quantum interferences suggest that the Anderson localization regime could be experimentally measurable for a defect density as low as 1%.

Keywords

Cite

@article{arxiv.1012.4955,
  title  = {Two-dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity and Anderson Transition},
  author = {Aurélien Lherbier and Simon M. -M. Dubois and Xavier Declerck and Stephan Roche and Yann-Michel Niquet and Jean-Christophe Charlier},
  journal= {arXiv preprint arXiv:1012.4955},
  year   = {2012}
}

Comments

4 pages, 4 figures. Accepted in Physical Review Letters

R2 v1 2026-06-21T17:03:03.710Z