Topologically protected Landau levels in bilayer graphene in finite electric fields

Details Topologically protected Landau levels in bilayer graphene in finite electric fields Topologically protected Landau levels in bilayer graphene in finite electric fields

2011-11-25

arxiv.org/abs/1111.5894v1

Physical Review B85, 165410 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures

Scientific paper

The zero-energy Landau level of bilayer graphene is shown to be anomalously sharp (delta-function like) against bond disorder as long as the disorder is correlated over a few lattice constants.The robustness of the zero-mode anomaly can be attributed to the preserved chiral symmetry. Unexpectedly, even when we apply a finite potential difference (i.e., an electric field) between the top and the bottom layers, the valley-split $n=0$ Landau levels remain anomalously sharp although they are now shifted away from the zero energy, while the $n=1$ Landau levels exhibit the usual behavior.

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