  We study the interlayer pairing states in layered systems of two different 2d
electronic subsystems, one with relativistic linear and the other with
non-relativistic parabolic spectrum. The complex order parameter of the paired
state has a two component structure. We investigate the pairing state formation
on the mean-field level, determine the critical interaction strength and
evaluate the effective potential. The anisotropic three-band spectrum of
quasiparticles depends explicitly on the phase difference of the order
parameter components, rotates in momentum space as it changes. It is subject to
the strong band deformation due to the pairing. It leads to the fusion and
hybridization of initially decoupled bands. The quasiparticle spectrum has the
shape of deformed Dirac cones in the vicinity of the two touching points
between neighboring bands. The density of states exhibits a number of specific
features due to band deformation, such as a van Hove singularity.
