Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-08
Phys. Rev. B 80, 205101 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 6 figures
Scientific paper
We numerically study the quantum Hall effect (QHE) in bilayer graphene based on tight-binding model in the presence of disorder. Two distinct QHE regimes are identified in the full energy band separated by a critical region with non-quantized Hall Effect. The Hall conductivity around the band center (Dirac point) shows an anomalous quantization proportional to the valley degeneracy, but the $\nu=0$ plateau is markedly absent, which is in agreement with experimental observation. In the presence of disorder, the Hall plateaus can be destroyed through the float-up of extended levels toward the band center and higher plateaus disappear first. The central two plateaus around the band center are most robust against disorder scattering, which is separated by a small critical region in between near the Dirac point. The longitudinal conductance around the Dirac point is shown to be nearly a constant in a range of disorder strength, till the last two QHE plateaus completely collapse.
Liu Min
Ma Ruyun
Shen Rongfeng
Sheng Donna N.
Sheng Leimei
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