Electron trapping in magnetic driven graphene quantum dots

In this paper we present an in-depth theoretical investigation of an electron scattering process on a graphene quantum dot (GQD) supposed to a perpendicular magnetic field. As it is well known, because of Klein tunneling, an electrostatic potential is not helpful to localize an electron inside a GQD. However, we report here that in the case of a magnetic driven GQD, there emerge scattering resonances characterized by trapped electronic states inside the dot for finite periods of time, otherwise known as quasi-bound states. Using a real space scattering analysis, we highlight in a very intuitive manner how the quasi-bound states are generated and, for a comprehensive investigation, we evaluate their corresponding lifetime (trapping time). As well, we explore the case of an electrostatically biased GQD. We show that this configuration may be very advantageous regarding the control of the trapping times which reach values much higher than in the unbiased case.