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We study the band structures of hybrid graphene quantum dots subject to amagnetic flux and electrostatic potential. The system is consisting of acircular single layer graphene surrounded by an infinite bilayer graphene. Bysolving the Dirac equation we obtain the solution of the energy spectrum in tworegions. For the valley $K$, it is found that the magnetic flux strongly actsby decreasing the gap and shifting energy levels away from zero radius withsome oscillations, which are note observed for null flux case. As for thevalley $K'$, the energy levels rapidly increase when the radius increases. Anumber of oscillations appeared that is strongly dependent on the values takenby the magnetic flux.

Band strutures of hybrid graphene quantum dots with magnetic flux