Kondo Quantum Criticality of Magnetic Adatoms in Graphene

Abstract

We examine the exchange Hamiltonian for magnetic adatoms in graphene with localized inner shell states. On symmetry grounds, we predict the existence of a class of orbitals that lead to a distinct class of quantum critical points in graphene, where the Kondo temperature scales as $T_K\propto |J-J_c{|}^{1/3}$ near the critical coupling $J_c$, and the local spin is effectively screened by a \emph{super-ohmic} bath. For this class, the RKKY interaction decays spatially with a fast power law $\sim 1/R^7$. Away from half filling, we show that the exchange coupling in graphene can be controlled across the quantum critical region by gating. We propose that the vicinity of the Kondo quantum critical point can be directly accessed with scanning tunneling probes and gating.

4.1 pages, 3 figures. Added erratum correcting exponent nu=1/3. All the other results remain valid

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• Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
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• Effective magnetic correlations in hole-doped graphene nanoflakes
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• Indirect coupling between localized magnetic moments in triangular graphene nanoflakes
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• Emergent Kondo behavior from gauge fluctuations in spin liquids
• Ferromagnetic induced Kondo effect in graphene with a magnetic impurity
• MN4 Embedded Graphene Layers: Tunable Decay Rate of RKKY Interaction
• Quantum algorithms for Schrieffer-Wolff transformation
• Nonlinear electric transport in graphene with magnetic disorder
• Dynamic RKKY interaction between magnetic moments in graphene nanoribbons
• RKKY interaction in graphene at finite temperature
• Magnetoconductance of the Corbino disk in graphene: Chiral tunneling and quantum interference in the bilayer case
• Effect of Inter-Adatoms Correlations on the Local Density of States of Graphene
• Spin relaxation and the Kondo effect in transition metal dichalcogenide monolayers
• Electric field control of spins in bilayer graphene: Local moment formation and local moment interactions
• Magnetic correlation effects by the topological zero mode in a hydrogenated graphene vacancy $V_{111}$
• A graphene edge-mediated quantum gate
• Stability of the Néel quantum critical point in the presence of Dirac fermions
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene