  The possibility of a second pairing transition $d\to d+is$ ($d+id^\prime$) in
planar $d$-wave superconductors which occurs in the absence of external
magnetic field, magnetic impurities or boundaries is established in the
framework of the non-perturbative phenomenon of dynamical chiral symmetry
breaking in the system of $2+1$-dimensional Dirac-like nodal quasiparticles. We
determine the critical exponents and quasiparticle spectral functions that
characterize the corresponding quantum critical behavior and discuss some of
its potentially observable spectral and transport features.
