Scattering behavior in graphene quantum dots under laser field and magnetic flux

We show how Dirac electrons interact with a graphene quantum dots (GQDs), characterized by a scattering potential, when exposed to both a magnetic flux and circularly polarized light. After obtaining the solutions of the energy spectrum, we compute the scattering coefficients. These allow us to show how efficiently the electrons diffuse and how their probability density is distributed in space. Our results show that light polarization is key in controlling electron scattering. It affects electron localization near the GQDs and the strength of the scattering coefficients. We also investigate how light intensity and magnetic flux affect the formation of quasi-bound states. In addition, the electrostatic potential reduces the density of scattering states and fine-tunes the interaction between electrons and the quantum dot. This research improves our understanding of electron behavior in graphene nanostructures and suggests new ways to control electronic states at the quantum level.