Landau Level Spectrum of ABA- and ABC-stacked Trilayer Graphene

Abstract

We study the Landau level spectrum of ABA- and ABC-stacked trilayer graphene. We derive analytic low energy expressions for the spectrum, the validity of which is confirmed by comparison to a π-band tight-binding calculation of the density of states on the honeycomb lattice. We further study the effect of a perpendicular electric field on the spectrum, where a zero-energy plateau appears for ABC stacking order, due to the opening of a gap at the Dirac point, while the ABA-stacked trilayer graphene remains metallic. We discuss our results in the context of recent electronic transport experiments. Furthermore, we argue that the expressions obtained can be useful in the analysis of future measurements of cyclotron resonance of electrons and holes in trilayer graphene.

10 pages, 8 figures

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• The electronic properties of graphene
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Asymmetry gap in the electronic band structure of bilayer graphene
• Electronic states and Landau levels in graphene stacks
• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Band Structure of ABC-Stacked Graphene Trilayers
• Dependence of band structures on stacking and field in layered graphene
• Quantum Hall effect and Landau level crossing of Dirac fermions in trilayer graphene
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
• Magneto-optical properties of multilayer graphenes
• Cyclotron resonance in bilayer graphene
• Infrared spectroscopy of electronic bands in bilayer graphene
• High-Energy Limit of Massless Dirac Fermions in Multilayer Graphene using Magneto-Optical Transmission Spectroscopy
• Integer Quantum Hall Effect in Trilayer Graphene
• Electric transport and magnetic properties in multilayer graphene
• Landau level spectra and the quantum Hall effect of multilayer graphene
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Zero-energy states in corrugated bilayer graphene
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
• Bilayer graphene inclusions in rotational-stacked multilayer epitaxial graphene
• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
• Chiral orbital current and anomalous magnetic moment in gapped graphene
• Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry

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• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
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• Optical Properties of Graphene in Magnetic and Electric fields
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
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• The selection rule of graphene in a composite magnetic field
• Orbital mixing in few-layer graphene and non-Abelian Berry phase
• Quantum Parity Hall effect in ABA Graphene
• Magnetic quantization in multilayer graphenes
• An analytical study of electronic properties of ABC-stacking multilayer graphene