Effect of inhomogeneous gap on energy levels in graphene magnetic quantum dots

We study the energy levels of fermions magnetically confined in graphene through an electrostatic potential and an inhomogeneous gap, including Δ2 inside and Δ1 outside of the generated quantum dots. Our findings illustrate that the energy levels exhibit either symmetric or asymmetric behavior, contingent upon the signs of τ and the quantum angular momentum number m. It is discovered that Δ1 acts by breaking the symmetry and generating a new set of energies. •Energy levels of charge carriers magnetically confined in graphene, subjected to electrostatic potential, and with and inhomogeneous gap, are analyzed.•Energy levels behave symmetrically or asymmetrically depending on the signs of τ and quantum angular momentum m.•Δ1 acts by breaking the symmetry exhibited by the energy levels and generating a new set of energies.