  We study the interplay between intrinsic topological order and
superconductivity in a two-component Haldane bilayer, where the two layers are
coupled by an attractive force. We obtain the phase diagram of the model with
exact diagonalization in finite-size, and develop arguments to assess the
stability of the observed phases in the thermodynamic limit. Our main result is
that a finite critical attraction strength is needed to pair fermions forming a
fractional topological order. This behavior can be harnessed to create clean
interfaces between a fractional topological insulator and a superconductor by
gating, wherein non-Abelian parafermionic modes are trapped. We discuss
realization of such interfaces in the bulk of double bilayers of transition
metal dichalcogenides by inhomogenous electrostatic gating, which should
mitigate the spurious effects of disorder and crystalline defects present on
physical edges.
