  Gaussian deformation in graphene structures exhibits an interesting effect in
which flower-shaped confinement states are observed in the deformed region
[Carrillo-Bastos et al., Phys. Rev. B 90 041411 (2014)]. To exploit such a
deformation for various applications, tunable electronic features including a
bandgap opening for semi-metallic structures are expected. Besides, the effects
of disorders and external excitations also need to be considered. In this work,
we present a systematic study on quantum transport of graphene ribbons with
Gaussian deformation. Different levels of deformation are explored to find a
universal behavior of the electron transmission. Using a tight-binding model in
combination with Non-Equilibrium Green Functions formalism, we show that
Gaussian deformation influences strongly the electronic properties of ribbons
in which the electron transmission decreases remarkably in high energy regions
even if small deformations are considered. Interestingly, it unveils that the
first plateau of the transmission of semi-metallic armchair ribbons is just
weakly affected in the case of small deformations. However, significant large
Gaussian bumps can induce a strong drop of this plateau and a transport gap is
formed. The transmission at the zero energy is found to decrease exponentially
with increasing the size of the Gaussian bump. Moreover, the gap of
semi-conducting ribbons is enlarged with large deformations. The opening or the
widening of the transport gap in large deformed armchair structures is
interpreted by a formation of a three-zone behavior along the transport
direction of the hopping profile. On the other hand, a transport gap is not
observed in zigzag ribbons regardless of the size of Gaussian bumps. This
behavior is due to the strong localization of edge states at the energy point E
= 0...
