  Motivated by recent advances in the fabrication of twisted bilayers of 2D
materials, we consider the low-energy properties of a twisted pair of
two-dimensional nodal superconductors. We study both the cases of singlet and
triplet superconductors. It is demonstrated that the Bogoliubov-de Gennes (BdG)
quasiparticle dispersion undergoes dramatic reconstruction due to the twist. In
particular, the velocity of the neutral massless Dirac excitations near the gap
nodes is strongly renormalized by the interlayer hopping and vanishes at a
``magic angle'' where in the limit of a circular Fermi surface a quadratic band
touching is formed. In addition, it is shown that the BdG disperion can be
tuned with an interlayer displacement field, magnetic field, and current, which
can suppress the velocity renormalization, create finite BdG Fermi surfaces, or
open a gap, respectively. Finally, interactions between quasiparticles are
shown to lead to the emergence of a correlated superconducting state breaking
time-reversal symmetry in the vicinity of the magic angle. Estimates of the
magic angle in a variety of nodal superconductors are presented, ranging from
the cuprates to the organic and heavy fermion superconductors, all of which are
shown to be promising for the experimental realization of our proposal.
