Abstract
The authors study the optical Hall response of bilayer graphene under sliding and twisting and, based on symmetry arguments, explain the effects of Kerr and Faraday rotations as well as the circular dichroism.
Highlights
Stacked two-dimensional (2D) materials represent a unique platform for the manipulation of light at the nanometer scale, they are an ideal platform for advances in future emerging technologies [1,2,3]
We would like to validate the available predictions of the physical properties of generic twisted bilayer graphene (TBG) systems that were usually deduced for commensurate configurations
As our calculation method is based on the real-space approach, it can be applied to lattices of arbitrary stacking, regardless of commensurate or incommensurate configuration
Summary
Stacked two-dimensional (2D) materials represent a unique platform for the manipulation of light at the nanometer scale, they are an ideal platform for advances in future emerging technologies [1,2,3]. The optical Hall conductivity is deduced as a result of the correlation between the current components in the two layers They concluded that the relative rotation of the electron chirality due to the lattice twisting and the current dephasing are the origin of the circular dichroism of the TBG system. We obtain the conductivity tensor within the kernel polynomial method (KPM) [40,41,42,43] This numerical approach allows us to work with arbitrary configurations of the bilayer graphene, i.e., taking into account both the twist angle and the sliding vector, and considering all of the natural symmetries of the bilayer atomic lattice. In Appendix C, we highlight the relation between the components of the electrical conductivity tensor and the optical coefficients
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