Kondo effect in monolayer and bilayer graphene: physical realizations of the multi-channel Kondo models

Abstract

We perform a general group-theoretical study of the Kondo problem in monolayer and bilayer graphene around the charge neutrality point. Utilizing the group representation theory, we derive from symmetry considerations a family of the Kondo models for all symmetric placements with either 3- or 6-fold rotational axis of an impurity atom in an arbitrary orbital state. We find six possible classes of the partially anisotropic four-channel Kondo model. As the key result, we argue several possibilities to realize the regime of the dominant channel-symmetric two-channel Kondo effect, protected by the local symmetry and specifics of the graphene band structure. Our findings open prospects for the observation of the rich multi-channel Kondo physics in graphene and the associated non-Fermi-liquid behavior.

5 pages main text, 3 pages supplementary material, 1 fig

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• Observation of orbital two-channel Kondo effect in a ferromagnetic L10-MnGa film
• Ferromagnetic induced Kondo effect in graphene with a magnetic impurity
• Reentrant Kondo effect in a quantum impurity coupled to a metal-semiconductor hybrid contact
• From Kondo to local singlet state in graphene nanoribbons with magnetic impurities
• Quantum phase transitions into Kondo states in bilayer graphene
• One- and two-channel Kondo model with logarithmic Van Hove singularity: a numerical renormalization group solution
• Defect-Induced Kondo Effect in graphene: Role of Localized State of $\pi$ Electrons