2008/01/31 by Kentaro Nomura, Shinsei Ryu, Mikito Koshino +2 · 2 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.100.246806
published as Phys. Rev. Lett. 100, 246806 (2008) · 5 pages, 4 figures
arxiv created 2008/05/12 · openalex publication_date 2008/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The effect of strong long-range disorder on the quantization of the Hall conductivity sigmaxy in graphene is studied numerically. It is shown that increasing Landau-level mixing progressively destroys all plateaus in sigmaxy except the plateaus at sigmaxy=-/+e2/2h (per valley and per spin). The critical state at the Dirac point is robust to strong disorder and belongs to the universality class of the conventional plateau transitions in the integer quantum Hall effect. We propose that the breaking of time-reversal symmetry by ripples in graphene can realize this quantum critical point in a vanishing magnetic field.