This research is a study of the photon radiation from the bilayer graphene perturbed by the electromagnetic field. Theoretically, our simulation shows vividly the asymmetry property of such bilayer graphene resulting in the outstanding attribute of the photon emission profiles. The methods employed in our work are a tight-binding model in the many-body system and Fermi’s golden rule. In this work, we show the emission profiles in various kinds such as the single-photon emission (both in linear polarization and circular polarization) and the double photon emission. Additionally, in the case of double photon emission, we illustrate the degree of entanglement between photon pairs by analyzing the certain coincident rate involved indirectly in the emission profiles. The results demonstrate that the degree of entanglement is maximum when the photon pair’s direction is perpendicular to each other (especially, in the case that one of the photons emits in the direction being perpendicular to the bilayer graphene plane). We also discover that the direction of the maximum entangled photons depends on the polarization between the photon’s pairs.

Silicene, a freshly isolated silicon allotrope with a two-dimensional (2D) honeycomb lattice structure, is expected to have electrical properties comparable to graphene. Considering the certain external electric applying on silicene, we explore high-harmonic generation (HHG) effect and its factors. According to our investigation, the external electric field significantly influences the optical emission peaks of the low-frequency optical emission.

We identify the interaction between nanoparticle and surface of material in the presence of an electric field. For theoretical calculation, we use the dyadic green function that includes with the method of image dipoles to analyze electrical interaction. We find that the electric field and the interaction potential which depend on the dielectric constant and surface roughness of material. Our numerical results demonstrate the electric field and the interaction potential which corresponds to the Van der Waals interaction and can be used to determine charges distribution on nanoparticle and surface of material.

Silicene hexagonal nanotube (Si h-NT) is a one-dimensional periodic system consisting of the rolling silicene layer, a monolayer of silicon atoms. In this research, we explore high-order harmonic generation (HHG) with a strong mid-infrared (IR) field on the single-walled nanotube. Moreover, the electronic intraband and interband dynamics are significantly and especially investigated in order to study the HHG mechanisms thoroughly. We then show and discuss the numerical results of the HHG characteristics from Si h-NT compared with single-walled carbon nanotubes and silicene sheets.

We identify the electromagnetic interaction between talcum particle and surface of topological insulator which unsatisfied ordinary Maxwell’s equations. For theoretical approach, we use the dyadic green’s function including with the method of an image charge and the topological magneto-electric (TMEP). We describe the electromagnetic response taking into account the property of material in case of the dielectric constant. Our numerical approach demonstrates and discuss the interaction and characteristic of electromagnetic responses between talcum and topological insulator.