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It has been recently suggested that when an Anderson impurity is immersed inthe bulk of a topological insulator, a Kondo resonant peak will appearsimultaneously with an in-gap bound-state when the band-dispersion has an"inverted-Mexican-hat" form. The mid-gap bound-state generates another spinstate and the Kondo effect is thereby screened. In this paper we study thisproblem within a weak-coupling RG scheme where we show that the system exhibitscomplex crossover behavior between different symmetry configurations and mayevolve into a self-screened-Kondo or SO(3) low energy fix point. Experimentalconsequences of this scenario are pointed out.

Renormalization Group Approach to Anderson Impurity in the Bulk of Topological Insulators