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The p-wave hybridization in graphene present a distinct class of Kondo problem in pseudogap
Fermi systems with bath density of states (DOS) $\rho)0(\eps)\propto |\eps|$. The peculiar geometry of
substitutional and hollow-site ad-atoms, and effectively the vacancies allow for a p-wave form
of momentum dependence in the hybridization of the associated local orbital with the Dirac
fermions of the graphene host which results in a different picture than the s-wave momentum
independent hybridization. For the p-wave hybridization function, away from the Dirac point
we find closed-form formulae for the Kondo temperature $T_K$ which in contrast to the s-wave
case is non-zero for any value of hybridization strength V of the single impurity Anderson
model (SIAM). At the Dirac point where the DOS vanishes, we find a conceivably small value
of $V_{\rm min}$ above which the Kondo screening takes place even in the presence of particleâhole
symmetry. We also show that the non-Lorentzian line shape of the local spectrum arising from
anomalous hybridization function leads to much larger $T_K$ in vacant graphene compared to a
metallic host with similar bandwidth and SIAM parameters.
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