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We study a transmission coefficient of graphene nanoribbons with a top gatewhich acts as an oblique barrier. Using a Green function method based on theDirac-like equation, scattering among transverse modes due to the obliquebarrier is taken into account numerically. In contrast to the 2-dimensionalgraphene sheet, we find that the pattern of transmission in graphene ribbonsdepends strongly on the electronic structure in the region of the barrier.Consequently, irregular structures in the transmission coefficient arepredicted while perfect transmission is still calculated in the case ofmetallic graphene independently of angle and length of the oblique barrier.

Klein tunneling through an oblique barrier in graphene ribbons