Faraday rotation in bilayer and trilayer graphene in the quantum Hall regime

Abstract

Optical Hall conductivity, as directly related to Faraday rotation, is theoretically studied for bilayer and trilayer graphene. In bilayer graphene, the trigonal warping of the band dispersion greatly affects the resonance structures in Faraday rotation not only in the low-energy region where small Dirac cones emerge, but also in the higher-energy parabolic bands as a sequence of satellite resonances. In ABA-stacked trilayer, the resonance spectrum is a superposition of effective monolayer and bilayer contributions with band gaps, while ABC trilayer exhibits a distinct spectrum peculiar to the cubic-dispersed bands with a strong trigonal warping, where the signals associated with low-energy Dirac cones should be directly observable owing to a large Lifshitz transition energy ($\sim 10meV$).

arXiv comment10 pages, 7 figures

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Cited by in corpus (11)

• Electronic properties of graphene-based bilayer systems
• Optical properties of the Hofstadter butterfly in the Moiré superlattice
• Gate-induced Dirac cones in multilayer graphenes
• Polarization selection rules for inter-Landau level transitions in epitaxial graphene revealed by infrared optical Hall effect
• Optical Hall effect in strained graphene
• Chiral symmetry and its manifestation in optical responses in graphene: interaction and multi-layers
• Magneto-optics of monolayer and bilayer graphene
• Optical conductivity of ABA stacked graphene trilayer: mid-IR resonance due to band nesting
• Landau level diagram and the continuous rotational symmetry breaking in trilayer graphene
• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
• A broadband silicon quarter-wave retarder for far-infrared spectroscopic circular dichroism