  We study the transport properties of Dirac fermions in ABC trilayer graphene
(ABC-TLG) superlattices. More specifically, we analyze the impact of varying
the physical parameters -- the number of cells, barrier/well width, and barrier
heights -- on electron tunneling in the ABC-TLG. In the initial stage, we
solved the eigenvalue equation to determine the energy spectrum solutions for
the ABC-TLG superlattices. Subsequently, we applied boundary conditions to the
eigenspinors and employed the transfer matrix method to calculate transmission
probabilities and conductance. For the two-band model, we identified the
presence of Klein tunneling, with a notable decrease as the number of cells
increased. The introduction of interlayer bias opened a gap as the number of
cells increased, accompanied by an asymmetry in scattered transmission.
Increasing the barrier/well width and the number of cells resulted in an
amplified number of gaps and oscillations in both two-band and six-band cases.
We observed a corresponding decrease in conductance as the number of cells
increased, coinciding with the occurrence of a gap region. Our study
demonstrates that manipulating parameters such as the number of cells, the
width of the barrier/well, and the barrier heights provides a means of
controlling electron tunneling and the occurrence of gaps in ABC-TLG.
Specifically, the interplay between interlayer bias and the number of cells is
identified as a crucial factor influencing gap formation and transmission
asymmetry.
