Spectral approach to transport in the 2D honeycomb lattice with substitutional disorder
arXiv:1711.09381 · doi:10.1103/PhysRevB.99.024115
Abstract
The transport properties of a disordered two-dimensional (2D) honeycomb lattice are examined numerically using the spectral approach to the quantum percolation problem, characterized by an Anderson-type Hamiltonian. In our simulations, substitutional disorder (or doping) is represented by a modified bimodal probability distribution of the on-site energies. 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 graphene sheet doped with hydrogen.
arXiv comment21 pages, 9 figures
References in corpus (17)
- Two Dimensional Atomic Crystals
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Metal to insulator transition in epitaxial graphene induced by molecular doping
- Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
- Topological delocalization of two-dimensional massless Dirac fermions
- 2D Metal-Insulator transition as a percolation transition
- Statistics of pre-localized states in disordered conductors
- Quantum percolation and transition point of a directed discrete-time quantum walk
- Exponents of the localization lengths in the bipartite Anderson model with off-diagonal disorder
- Quantum chaos in disordered graphene
- Dynamical Aspects of 2D Quantum Percolation
- A new numerical approach to Anderson (de)localization
- Localization-delocalization transitions in a two-dimensional quantum percolation model: von Neumann entropy studies
- Delocalization for the 3-D discrete random Schroedinger operator at weak disorder
- Delocalization in infinite disordered 2D lattices of different geometry
- Cyclicity in rank-one perturbation problems
- Critical wave functions in disordered graphene