Topologically protected Landau levels in bilayer graphene in finite electric fields

Abstract

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.

5 pages, 5 figures

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Cited by in corpus (5)

• Electronic properties of graphene-based bilayer systems
• Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Stability of zero-mode Landau levels in bilayer graphene against disorder in the presence of the trigonal warping
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene