2009/06/30 by S. Das Sarma, Kun Yang · 32 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Condensed matter physics #Electron #Graphene #Graphene research and applications #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.ssc.2009.06.039
published in Solid State Communications 149(37-38), 1502-1506 (Elsevier BV) · Minor revisions with added references. 6 pages. Published version
openalex publication_date 2009/07/04 · arxiv created 2009/08/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We apply Laughlin's gauge argument to analyze the ν=0 quantum Hall effect observed in graphene when the Fermi energy lies near the Dirac point, and conclude that this necessarily leads to divergent bulk longitudinal resistivity in the zero temperature thermodynamic limit. We further predict that in a Corbino geometry measurement, where edge transport and other mesoscopic effects are unimportant, one should find the longitudinal conductivity vanishing in all graphene samples which have an underlying ν=0 quantized Hall effect. We argue that this ν=0 graphene quantum Hall state is qualitatively similar to the high field insulating phase (also known as the Hall insulator) in the lowest Landau level of ordinary semiconductor two-dimensional electron systems. We establish the necessity of having a high magnetic field and high mobility samples for the observation of the divergent resistivity as arising from the existence of disorder-induced density inhomogeneity at the graphene Dirac point.