  The application of the chiral decomposition procedure to hybrid graphene h-BN
systems revealed rules for the partition of the system into effective
subsystems being bilayers plus monolayer in case the number of layers is odd.
Three types of subsystems have been detected namely purely graphene bilayers
and monolayers, mixed bilayers and pure h-BN monolayers depending on the hybrid
composition. The effective parameters characterizing these chiral subsystems
consist of the interlayer couplings and on-site potentials which shows the
mechanism of compensation of the asymmetry introduced into the system by h-BN
layers. For illustration, we provide a pedagogical overview about chiral
tunneling in graphene subsystems (MLG, BLG) present in hybrid with one h-BN
layer. We have established the parameter ranges for which the characteristic
features in the spectrum are observed, such as Fabry-P\'erot resonances in the
case of MLG and "magic angles" in the case of effective BLG. We also consider
different hybrid stacking in order to indicate effective systems with the
desired properties required in the electronic and spintronic applications.
