Magneto-optical Selection Rules in Bilayer Bernal Graphene

Abstract

The low-frequency magneto-optical properties of bilayer Bernal graphene are studied by the tight-binding model with the four most important interlayer interactions taken into account. Since the main features of the wave functions are well-depicted, the Landau levels can be divided into two groups based on the characteristics of the wave functions. These Landau levels lead to four categories of absorption peaks in the optical absorption spectra. Such absorption peaks own complex optical selection rules, and these rules can be reasonably explained by the characteristics of the wave functions. In addition, twin-peak structures, regular frequency-dependent absorption rates, and complex field-dependent frequencies are also obtained in this work. The main features of the absorption peaks are very different from those in monolayer graphene and have their origin in the interlayer interactions.

Electronic Transport and Optical Properties of Graphene

“…For example, the AAstacked bilayer graphene is predicted to exhibit two groups of absorption peaks; [72] however, the selection rule ∆n = 1 is same as that of MG. As for the AB-stacked bilayer graphene, there exist four groups of absorption peaks and two extra selection rules (∆n = 0 and 2).…”

Field-induced diverse quantizations in monolayer and bilayer black phosphorus

“…Furthermore, it could combine with the single-and many-particle theories to explore the essential physical properties, such as, magneto-optical and Coulomb excitations [39,40].…”

Magneto-electronic properties of rhombohedral trilayer graphene: Peierls tight-binding model

“…This result indicates that the asymmetry of ABC-stacked trilayer graphene is caused by the hopping integrals b 3 , b 4 and b 5 . A similar status has been addressed for AB-stacked bilayer graphene, where the symmetry is broken by certain hopping integrals as well as the on-site energy difference [13,28,36]. The solution of Eq.…”