New Dirac points and multiple Landau level crossings in biased trilayer graphene
Name
Serbyn-2013-New Dirac points.pdf
Size
971.57 KB
Format
Adobe PDF
Checksum (MD5)
67ebbd437ee5d4cd2ea3421cba803db6
Author(s)
Serbyn, Maksym
Abanin, Dmitry A.
Date Issued
March 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Serbyn, Maksym, and Dmitry Abanin. “New Dirac Points and Multiple Landau Level Crossings in Biased Trilayer Graphene.” Phys. Rev. B 87, no. 11 (March 2013). © 2013 American Physical Society
Version
Final published version
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 e[superscript 2]/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 3e[superscript 2]/h. At an intermediate bias, the degeneracies of all Landau levels get lifted, and in this regime all quantum Hall plateaus are spaced by e[superscript 2]/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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.87.115422
