Modeling of gate controlled Kondo effect at carbon point-defects in graphene

Abstract

We study the magnetic properties in the vicinity of a single carbon defect in a monolayer of graphene. We include the unbound $\sigma$ orbital and the vacancy induced bound $\pi$ state in an effective two-orbital single impurity model. The local magnetic moments are stabilized by the Coulomb interaction as well as a significant ferromagnetic Hund's rule coupling between the orbitals predicted by a density functional theory calculation. A hybridization between the orbitals and the Dirac fermions is generated by the curvature of the graphene sheet in the vicinity of the vacancy. We present results for the local spectral function calculated using Wilson's numerical renormalization group approach for a realistic graphene band structure and find three different regimes depending on the filling, the controlling chemical potential, and the hybridization strength. These different regions are characterized by different magnetic properties. The calculated spectral functions qualitatively agree with recent scanning tunneling spectra on graphene vacancies.

arXiv comment18 pages, 15 figures

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• Scaling theory of intrinsic Kondo and Hund's rule interactions in magic-angle twisted bilayer graphene
• Nonequilibrium Kondo effect in a graphene-coupled quantum dot in the presence of a magnetic field
• Ferromagnetic induced Kondo effect in graphene with a magnetic impurity
• Sublattice symmetry breaking and Kondo-effect enhancement in strained graphene
• Reentrant Kondo effect in a quantum impurity coupled to a metal-semiconductor hybrid contact
• Kondo effect due to a hydrogen impurity in graphene: a multichannel Kondo problem with diverging hybridization
• Kondo holes in strongly correlated impurity arrays: RKKY driven Kondo screening and hole-hole interactions
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Restoring the continuum limit in the time-dependent numerical renormalization group approach
• Spectral properties of strongly correlated multi impurity models in the Kondo insulator regime: Emergent coherence, metallic surface states and quantum phase transitions
• Open Wilson chain numerical renormalization group approach to Green's functions