2009/07/31 by L. Schweitzer
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.80.245430
published as Phys. Rev. B 80, 245430 (2009) · revised version, 7 pages, 10 figures
arxiv created 2009/11/12 · openalex publication_date 2009/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The electronic properties of noninteracting particles moving on a two-dimensional bricklayer lattice are investigated numerically. In particular, the influence of disorder in form of a spatially varying random magnetic flux is studied. In addition, a strong perpendicular constant magnetic field B is considered. The density of states \ensuremathρ(E) goes to zero for E\ensuremath→0 as in the ordered system but with a much steeper slope. This happens for both cases: at the Dirac point for B=0 and at the center of the central Landau band for finite B. Close to the Dirac point, the dependence of \ensuremathρ(E) on the system size, on the disorder strength, and on the constant magnetic flux density is analyzed and fitted to an analytical expression proposed previously in connection with the thermal quantum-Hall effect. Additional short-range on-site disorder completely replenishes the indentation in the density of states at the Dirac point.