  Silicene has been synthesized recently, with experimental evidence showing
possible superconductivity in the doped case. The noncoplanar low-buckled
structure of this material inspires us to study the pairing symmetry of the
doped system under a perpendicular external electric field. Our study reveals
that the electric field induces an interesting quantum phase transition from
the singlet chiral $d + id'$-wave superconducting phase to the triplet $f$-wave
one. The emergence of the $f$-wave pairing results from the
sublattice-symmetry-breaking caused by the electric field and the
ferromagnetic-like intra-sublattice spin correlations at low dopings. Due to
the enhanced density of states, the superconducting critical temperature of the
system is enhanced by the electric field remarkably. Furthermore, we design a
particular dc SQUID experiment to detect the quantum phase transition predicted
here. Our results, if confirmed, will inject a new vitality to the familiar
Si-based industry through adopting doped silicene as a tunable platform to
study different types of exotic unconventional superconductivities.
