  This study is devoted to the profound implications of tilted Dirac cones on
the quantum transport properties of two-dimensional (2D) Dirac materials. These
materials, characterized by their linear conic energy dispersions in the
vicinity of Dirac points, exhibit unique electronic behaviors, including the
emulation of massless Dirac fermions and the manifestation of relativistic
phenomena such as Klein tunneling. Expanding beyond the well-studied case of
graphene, the manuscript focuses on materials with tilted Dirac cones, where
the anisotropic and tilted nature of the cones introduces additional complexity
and richness to their electronic properties. The investigation begins by
considering a heterojunction of 2D Dirac materials, where electrons undergo
quantum tunneling between regions with upright and tilted Dirac cones. The role
of tilt in characterizing the transmission of electrons across these interfaces
is thoroughly examined, shedding light on the influence of the tilt parameter
on the transmission probability and the fate of the pseudospin of the Dirac
electrons, particularly upon a sudden change in the tilting. We also
investigate the probability of reflection and transmission from an intermediate
slab with arbitrary subcritical tilt, focusing on the behavior of electron
transmission across regions with varying Dirac cone tilts. The study
demonstrates that for certain thicknesses of the middle slab, the transmission
probability is equal to unity, and both reflection and transmission exhibit
periodic behavior with respect to the slab thickness.
