Landau-level dispersion and the quantum Hall plateaus in bilayer graphene

Journal Article · Wed Dec 04 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4848392· OSTI ID:22261818

Zarenia, M.; Peeters, F. M. ^[1]; Vasilopoulos, P.; Pourtolami, N. ^[2]

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1. Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerpen (Belgium)
2. Concordia University, Department of Physics, 7141 Sherbrooke Ouest, Montréal, Québec (Canada)

We study the quantum Hall effect (QHE) in bilayer graphene using the Kubo-Greenwood formula. At zero temperature the Hall conductivity σ{sub yx} is given by σ{sub yx} = 4(N+1)e{sup 2}/h with N the index of the highest occupied Landau level (LL). Including the dispersion of the LLs and their width, due to e.g. scattering by impurities, produces the plateau of the n = 0 LL in agreement with experimental results on doped samples and similar theoretical results on single-layer graphene plateaus widen with impurity concentration. Further, the evaluated resistivity ρ{sub xx} exhibits a strong, oscillatory dependence on the electron concentration. Explicit results are obtained for δ-function impurities.

• OSTI ID: 22261818
• Journal Information: AIP Conference Proceedings, Vol. 1566, Issue 1; Conference: ICPS 2012: 31. international conference on the physics of semiconductors, Zurich (Switzerland), 29 Jul - 3 Aug 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
77 NANOSCIENCE AND NANOTECHNOLOGY
DISPERSIONS
DOPED MATERIALS
ELECTRONS
GRAPHENE
HALL EFFECT
IMPURITIES
SCATTERING