New Dirac points and multiple Landau level crossings in biased trilayer graphene

M. Serbyn, D. Abanin, Physical Review B - Condensed Matter and Materials Physics 87 (2013).


Journal Article | Published
Author
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Abstract
Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pair of bands. Here we study electronic properties of ABA-stacked trilayer graphene biased by a perpendicular electric field. We find that the combination of the bias and trigonal warping gives rise to a set of new Dirac points: In each valley, seven species of Dirac fermions with small masses of order of a few meV emerge. The positions and masses of the emergent Dirac fermions are tunable by bias, and one group of Dirac fermions becomes massless at a certain bias value. Therefore, in contrast to bilayer graphene, the conductivity at the neutrality point is expected to show nonmonotonic behavior, becoming of the order of a few e2/h when some Dirac masses vanish. Further, we analyze the evolution of the Landau level spectrum as a function of bias. The emergence of new Dirac points in the band structure translates into new threefold-degenerate groups of Landau levels. This leads to an anomalous quantum Hall effect, in which some quantum Hall steps have a height of 3e2/h. At an intermediate bias, the degeneracies of all Landau levels get lifted, and in this regime all quantum Hall plateaus are spaced by e2/h. Finally, we show that the pattern of Landau level crossings is very sensitive to certain band structure parameters, and can therefore provide a useful tool for determining their precise values.
Publishing Year
Date Published
2013-03-18
Journal Title
Physical Review B - Condensed Matter and Materials Physics
Acknowledgement
We thank Pablo Jarillo-Herrero, Leonardo Campos, and Thiti Taychatanapat for attracting our attention to the problem of biased trilayer graphene, and for many helpful discussions.
Volume
87
Issue
11
IST-REx-ID

Cite this

Serbyn M, Abanin D. New Dirac points and multiple Landau level crossings in biased trilayer graphene. Physical Review B - Condensed Matter and Materials Physics. 2013;87(11). doi:10.1103/PhysRevB.87.115422
Serbyn, M., & Abanin, D. (2013). New Dirac points and multiple Landau level crossings in biased trilayer graphene. Physical Review B - Condensed Matter and Materials Physics, 87(11). https://doi.org/10.1103/PhysRevB.87.115422
Serbyn, Maksym, and Dmitry Abanin. “New Dirac Points and Multiple Landau Level Crossings in Biased Trilayer Graphene.” Physical Review B - Condensed Matter and Materials Physics 87, no. 11 (2013). https://doi.org/10.1103/PhysRevB.87.115422.
M. Serbyn and D. Abanin, “New Dirac points and multiple Landau level crossings in biased trilayer graphene,” Physical Review B - Condensed Matter and Materials Physics, vol. 87, no. 11, 2013.
Serbyn M, Abanin D. 2013. New Dirac points and multiple Landau level crossings in biased trilayer graphene. Physical Review B - Condensed Matter and Materials Physics. 87(11).
Serbyn, Maksym, and Dmitry Abanin. “New Dirac Points and Multiple Landau Level Crossings in Biased Trilayer Graphene.” Physical Review B - Condensed Matter and Materials Physics, vol. 87, no. 11, American Physical Society, 2013, doi:10.1103/PhysRevB.87.115422.

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