Magnetoelectronic and Optical Properties of Monolayer and AB-Stacked Bilayer Graphenes

Abstract

The low-frequency magneto-absorption spectra of monolayer and bilayer graphene are evaluated within the gradient approximation. On the basis of Peierls tight-binding model, we can draw the wave function distribution over its sublattices and bring them into the calculation of optical spectra. The optical selection rules and the absorption rate can be accurately determined. The interlayer interactions in bilayers effectively alter the Landau level structures and thus the absorption spectra, such as the field dependence of absorption lines and the appearance of double-peaked absorptions.

Magneto-optical properties of ABC-stacked trilayer graphene

“…The relationship between o À nn and B 0 can not be described as a simple semi-parabolic ffiffiffiffiffi ffi B 0 p À Á or linear formula like that in the monolayer or bilayer system. 54 As the field strength is reduced, absorption frequencies approach the threshold frequency o À 32 . At a sufficiently small B 0 , the three degenerate LLs at E F lead to o À 32 B 10 meV, which corresponds to a energy spacing DE c,v of B 27b 2 7 of the first pair of the partial flat bands along the KG direction under a zero external field.…”