Kostadinova, Eva Georgieva, 1992-Liaw, C. D.Hering, Amanda S.Cameron, AdamGuyton, Forrest.Matthews, Lorin Swint.Hyde, Truell Wayne.2019-07-162019-07-162019-01Physical Review B, 99, (2), 024115, January, 2019https://hdl.handle.net/2104/10641The transport properties of a disordered two-dimensional (2D) honeycomb lattice are examined numerically using the spectral approach to the 2D percolation problem, characterized by an Anderson-type Hamiltonian. In our model, disorder is represented by two parameters: a distribution of random on-site energies ε_i (positional disorder) and a concentration of doping energies p (substitutional disorder). The results indicate the existence of extended energy states for nonzero disorder and the emergence of a transition towards localized behavior for critical doping concentration n_D > 0.3%, in agreement with the experimentally observed metal-to-insulator transition in a graphene sheet doped with hydrogenenArticle10.1103/PhysRevB.99.024115