Theory for optical Hall conductivity in the trilayer graphene in the quantum Hall regime

20th International Conference on the Application of High Magnetic Fields in Semiconductor Physics

Morimoto, Takahiro^1 ; Koshino, Mikito^2 ; Aoki, Hideo^3

Condensed Matter Theory Laboratory, RIKEN, Saitama, 351-0198, Japan^1

Department of Physics, Tohoku University, Sendai, 980-8578, Japan^2

Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan^3

关键词: Dirac cones;    Hall conductivity;    Inversion symmetry;    Lifshitz transition;    Low-energy;    Quantum Hall regime;    Resonance spectrum;    Tri layers;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/456/1/012028/pdf
DOI  :  10.1088/1742-6596/456/1/012028

来源: IOP

【 摘 要 】

We theoretically study optical Hall conductivities for ABA and ABC trilayer graphenes. In ABA-stacked trilayer, the resonance spectrum is shown to be 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 we found the signals associated with low-energy Dirac cones are conspicuous enough to be directly observable owing to a large Lifshitz-transition energy (∼ 10 meV). We have also revealed how the presence or absence of the inversion symmetry affects the optical Hall conductivities.