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We study the Kondo effect of a single magnetic adatom on the surface ofgraphene. It was shown that the unique linear dispersion relation near theDirac points in graphene makes it more easy to form the local magnetic moment,which simply means that the Kondo resonance can be observed in a more widerparameter region than in the metallic host. The result indicates that the Kondoresonance indeed can form ranged from the Kondo regime, to the mixed valence,even to the empty orbital regime. While the Kondo resonance displays as a sharppeak in the first regime, it has a peak-dip structure and/or an anti-resonancein the remaining two regimes, which result from the Fano resonance due to thesignificant background leaded by dramatically broadening of the impurity levelin graphene. We also study the scanning tunneling microscopy (STM) spectra ofthe adatom and they show obvious particle-hole asymmetry when the chemicalpotential is tuned by the gate voltages applied to the graphene. Finally, weexplore the influence of the direct tunneling channel between the STM tip andthe graphene on the Kondo resonance and find that the lineshape of the Kondoresonance is unaffected, which can be attributed to unusual large asymmetryfactor in graphene. Our study indicates that the graphene is an ideal platformto study systematically the Kondo physics and these results are useful tofurther stimulate the relevant experimental studies on the system.

Kondo effect of an adatom in graphene and its scanning tunneling spectroscopy