  Using the slave-rotor mean-field theory, we study the formation of Kondo
resonance in graphene induced from vacancies. At the Dirac neutrality point, we
find acritical hybridization strength beyond which the Kondo resonance takes
place, despite vanishing density of states. We also find that the line-shapes
of the Kondo peak are entirely different from Lorentzian shown in normal
metallic hosts. The dependence of Kondo temperature on the effective
hybridization parameter of the spinon field turns out to be linear in contrast
to the quadratic dependence in normal metals. Upon doping we find strong
electron-hole asymmetry for the dependence of Kondo temperature on the chemical
potential.
