Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field

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dc.creatorNomura, Kentaro
dc.creatorRyu, Shinsei
dc.creatorKoshino, Mikito
dc.creatorMudry, Christopher
dc.creatorFurusaki, Akira
dc.date2008-01-21
dc.date2008-05-12
dc.date.accessioned2026-07-07T09:47:03Z
dc.date.available2026-07-07T09:47:03Z
dc.descriptionThe effect of strong long-range disorder on the quantization of the Hall conductivity $σ_{xy}$ in graphene is studied numerically. It is shown that increasing Landau-level mixing progressively destroys all plateaus in $σ_{xy}$ except the plateaus at $σ_{xy}=\mp e^2/2h$ (per valley and per spin). The critical state at the charge-neutral 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.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0801.3121
dc.identifierhttp://arxiv.org/abs/0801.3121
dc.identifierPhys. Rev. Lett. 100, 246806 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.246806
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163741
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
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