Finite-difference method for transport of two-dimensional massless Dirac fermions in a ribbon geometry
arXiv:1210.7037 · doi:10.1103/PhysRevB.86.155439
Abstract
We present a numerical method to compute the Landauer conductance of noninteracting two-dimensional massless Dirac fermions in disordered systems. The method allows for the introduction of boundary conditions at the ribbon edges and accounts for an external magnetic field. By construction, the proposed discretization scheme avoids the fermion doubling problem. The method does not rely on an atomistic basis and is particularly useful to deal with long-range disorder, the correlation length of which largely exceeds the underlying material crystal lattice spacing. As an application, we study the case of monolayer graphene sheets with zigzag edges subjected to long-range disorder, which can be modeled by a single-cone Dirac equation.
11 pages, 10 figures
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- Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
- Decomposition into Propagating and Evanescent Modes of Graphene Ribbons
- Local Optical Conductivity of Bilayer Graphene with Kink Potential
- Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry