Optical conductivity of twisted bilayer graphene near the magic angle

We theoretically study the band structure and optical conductivity of twisted bilayer graphene (TBG) near the magic angle considering the effects of lattice relaxation. We show that the optical conductivity spectrum is characterized by a series of peaks associated with the van Hove singularities in the band structure, and the peak energies evolve systematically with the twist angle. Lattice relaxation effects in TBG modify its band structure, especially the flat bands, which leads to significant shifts of the peaks in the optical conductivity. These results demonstrate that spectroscopic features in the optical conductivity can serve as fingerprints for exploring the band structure, band gap, and lattice relaxation in magic-angle TBG as well as identifying its rotation angle.

Automated summary

Theoretical study shows that twisted bilayer graphene near the magic angle exhibits a series of peaks in its optical conductivity spectrum associated with van Hove singularities in the band structure. Lattice relaxation effects in TBG can significantly shift these peaks in the optical conductivity, indicating their potential use as fingerprints for exploring the band structure and lattice relaxation effects in magic-angle TBG.