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We investigate the tunneling effect of a Corbino disk in graphene in thepresence of a variable magnetic flux $\Phi_{i}$ created by a solenoid piercingthe inner disk under the effect of a finite mass term in the disk region $(R_1< r<R_2) $ and an electrostatic potential. Considering different regions,we explicitly determine the associated eigenspinors in terms of Hankelfunctions. The use of matching conditions and asymptotic behavior of Hankelfunctions for large arguments, enables us to calculate transmission and othertransport quantities. Our results show that the energy gap suppresses thetunneling effect by creating singularity points of zero transmissioncorresponding to the maximum shot noise peaks quantified by the Fano factor $ F$. The transmission as a function of the radii ratio $ R_2/R_1 $ becomesoscillatory with a decrease in periods and amplitudes. It can even reach one(Klein tunneling) for large values of the energy gap. The appearance of theminimal conductance at the points $ k_F R_1=R_1 \delta$ is observed. Finally wefind that the electrostatic potential can control the effect of the band gap.

Tunneling Effect in Gapped Graphene Disk in Magnetic Flux and Electrostatic Potential