Effect of magnetic flux on scattering in a graphene magnetic quantum dot

Abstract

Our theoretical investigation focuses on the impact of a magnetic flux on two aspects related to the trapping time of electrons within a graphene magnetic quantum dot (GMQD), which results from an applied magnetic field. Specifically, we examine the electron diffusion and trapping time of the quasi-states within the GMQD. Employing the Dirac equation, we derive solutions for the energy spectrum in each region comprising the GMQD, serving as mathematical tools to assess diffusion efficiency and estimate trapping time. Our findings reveal that an increase in magnetic flux enhances scattering efficiency, even in the absence of magnetic field. Through a scattering analysis in real space, we observe a significant improvement in the probability density within the GMQD. We demonstrate the feasibility of extending the trapping time of an electron within a GMQD by adjusting the magnetic flux.