Landau-level dispersion and the quantum Hall plateaus in bilayer grapheneLandau-level dispersion and the quantum Hall plateaus in bilayer graphene
Faculty of Sciences. Physics
Condensed Matter Theory
2013New York, 2013
AIP conference proceedings / American Institute of Physics. - New York
1566(2013), p. 275-276
University of Antwerp
We study the quantum Hall effect (QHE) in bilayer graphene using the Kubo-Greenwood formula. At zero temperature the Hall conductivity sigma(yx) is given by sigma(yx) - 4(N + 1)e(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 rho(xx) exhibits a strong, oscillatory dependence on the electron concentration. Explicit results are obtained for delta-function impurities.