  In terms of the state-of-the-art first principle computational methods
combined with the numerical renormalization group technique the spectroscopic
properties of Co adatoms deposited on silicene are analyzed. By establishing an
effective low-energy Hamiltonian based on first principle calculations, we
study the behavior of the local density of states of Co adatom on external
parameters, such as magnetic field and gating. It is shown that the Kondo
resonance with the Kondo temperature of the order of a few Kelvins can emerge
by fine-tuning the chemical potential. The evolution and splitting of the Kondo
peak with external magnetic field is also analyzed. Furthermore, it is shown
that the spin polarization of adatom's spectral function in the presence of
magnetic field can be relatively large, and it is possible to tune the
polarization and its sign by electrical means.
