The Physics of Kondo Impurities in Graphene

Abstract

This article summarizes our understanding of the Kondo effect in graphene, primarily from a theoretical perspective. We shall describe different ways to create magnetic moments in graphene, either by adatom deposition or via defects. For dilute moments, the theoretical description is in terms of effective Anderson or Kondo impurity models coupled to graphene's Dirac electrons. We shall discuss in detail the physics of these models, including their quantum phase transitions and the effect of carrier doping, and confront this with existing experimental data. Finally, we point out connections to other quantum impurity problems, e.g., in unconventional superconductors, topological insulators, and quantum spin liquids.

27 pages, 8 figs. Review article prepared for Rep. Prog. Phys. ("key issues" section). (v2) Final version as published

References in corpus (85)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Electronic transport in two dimensional graphene
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
• Magnetism in Graphene Induced by Single-Atom Defects
• Quantum Criticality in Heavy Fermion Metals
• Theory of ferromagnetic (III,Mn)V semiconductors
• Spin-half paramagnetism in graphene induced by point defects
• Dirac cones reshaped by interaction effects in suspended graphene
• Origin of Spatial Charge Inhomogeneity in Graphene
• Disorder Induced Localized States in Graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Interactions and phase transitions on graphene's honeycomb lattice
• Tunable Kondo Effect in Graphene with Defects
• Local defects and ferromagnetism in graphene layers
• Magnetic Moment Formation in Graphene Detected by Scattering of Pure Spin Currents
• RKKY in half-filled bipartite lattices: graphene as an example
• Localized Magnetic States in Graphene
• Gate-Controlled Ionization and Screening of Cobalt Adatoms on a Graphene Surface
• Diluted Graphene Antiferromagnet
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Tolerance of topological surface states towards magnetic moments: Fe on Bi2Te3 and Bi2Se3
• RKKY coupling in graphene
• Quantum Impurity in a Nearly Critical Two Dimensional Antiferromagnet
• Transition metal ad-atoms on graphene: Influence of local Coulomb interactions on chemical bonding and magnetic moments
• Impurity Quantum Phase Transitions
• Orthogonality catastrophe and Kondo effect in graphene
• In-plane magnetic anisotropy of Fe atoms on Bi${}_2$Se${}_3$(111)
• Anderson impurity in pseudo-gap Fermi systems
• Kondo disorder: a possible route towards non-Fermi liquid behavior
• Orbitally controlled Kondo effect of Co ad-atoms on graphene
• Kondo Quantum Criticality of Magnetic Adatoms in Graphene
• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• Spinless impurities in high Tc cuprates: Kondo-like behavior
• Impurity in a d-wave superconductor: Kondo effect and STM spectra
• Tuning Kondo physics in Graphene with gate voltage
• Evidence for spin-flip scattering and local moments in dilute fluorinated graphene
• Electron-hole puddles in the absence of charged impurities
• Staggered eigenvalue mimicry
• A critical analysis of vacancy-induced magnetism in mono and bilayer graphene
• Localized Spins on Graphene
• Theory of Scanning Tunneling Spectroscopy of Magnetic Adatoms in Graphene
• Kondo decoherence: finding the right spin model for iron impurities in gold and silver
• Persistence of Li Induced Kondo Moments in the Superconducting State of Cuprates
• Impurity states and interlayer tunneling in high temperature superconductors
• Critical local-moment fluctuations, anomalous exponents, and omega/T scaling in the Kondo problem with a pseudogap
• Orbital selective and tunable Kondo effect of magnetic adatoms on graphene: Correlated electronic structure calculations
• Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
• Adsorption of cobalt on graphene: Electron correlation effects from a quantum chemical perspective
• Kondo effect in flux phases
• Gate-controlled Kondo screening in graphene: Quantum criticality and electron-hole asymmetry
• Anderson impurities in gapless hosts: comparison of renormalization group and local moment approaches
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
• Magnetic Structure of Hydrogen Induced Defects on Graphene
• Quantum impurity in an antiferromagnet: non-linear sigma model theory
• Quantum impurity on the surface of a topological insulator
• Unconventional scanning tunneling conductance spectra for graphene
• Magnetic impurities in the honeycomb Kitaev model
• Anderson Impurity in Helical Metal
• Interactions and magnetic moments near vacancies and resonant impurities in graphene
• Metal-to-insulator transition and electron-hole puddle formation in disordered graphene nanoribbons
• Kondo destruction and valence fluctuations in an Anderson model
• Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
• Single or multi-flavor Kondo effect in graphene
• Scanning tunneling spectroscopy of a magnetic atom on graphene in the Kondo regime
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Theory of Defect-Induced Kondo Effect in Graphene: Numerical Renormalization Group Study
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Magnetic impurity in a $U(1)$-Spin Liquid with a Spinon Fermi-Surface
• Critical Kondo destruction in a pseudogap Anderson model: scaling and relaxational dynamics
• Finite temperature ordering of dilute graphene antiferromagnets
• Kondo effect in d-wave superconductors
• Reentrant Kondo effect in Landau quantized graphene
• A fractional-spin phase in the power-law Kondo model
• The Critical Hopping Parameter in O(a) improved Lattice QCD
• Magnetic adatoms on graphene in the Kondo regime: an Anderson model treatment
• Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
• Kondo screening in unconventional superconductors: The role of anomalous propagators
• Local Moments in an Interacting Environment
• Kondo physics in the algebraic spin liquid
• Kondo and charge fluctuation resistivity due to Anderson impurities in graphene
• Quantum critical behavior in the Kondo problem with a pseudogap

Cited by in corpus (98)

• Kondo effect in three-dimensional Dirac and Weyl systems
• Coulomb blockade in an atomically thin quantum dot coupled to a tunable Fermi reservoir
• Inducing Kondo Screening of Vacancy Magnetic Moments in Graphene with Gating and Local Curvature
• Quantum Critical Transition and Kondo Screening of Magnetic Moments in Graphene
• Local moment formation and Kondo screening in impurity trimers
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
• Kondo effect with diverging hybridization: possible realization in graphene with vacancies
• Ab initio spin-flip conductance of hydrogenated graphene nanoribbons: Spin-orbit interaction and scattering with local impurity spins
• Lanczos transformation for quantum impurity problems in d-dimensional lattices: application to graphene nanoribbons
• Competition between Kondo effect and RKKY physics in graphene magnetism
• Renormalization of spin excitations and Kondo effect in open shell nanographenes
• Kondo screening in a charge-insulating spinon metal
• Quasiparticle interference from magnetic impurities
• Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Kondo effect in graphene with Rashba spin-orbit coupling
• Coulomb charging energy of vacancy-induced states in graphene
• Pseudogap Anderson impurity model out of equilibrium: A master equation tensor network approach
• Quantum phase transitions and thermodynamics of the power-law Kondo model
• Kondo breakdown in a spin-1/2 chain of adatoms on a Dirac semimetal
• Competing magnetism in $\pi$ electrons in graphene with a single carbon vacancy
• Disorder-mediated Kondo effect in graphene
• The detection of Kondo effect in the resistivity of graphene: artifacts and strategies
• Electronic Characterization of a Charge-Transfer Complex Monolayer on Graphene
• Kondo effect in monolayer and bilayer graphene: physical realizations of the multi-channel Kondo models
• Emergence of Kondo resonance in graphene intercalated with cerium
• Symmetry-protected coherent transport for diluted vacancies and adatoms in graphene
• Modeling of gate controlled Kondo effect at carbon point-defects in graphene
• Kondo effect in twisted bilayer graphene
• Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators
• Transport signatures of Kondo physics and quantum criticality in graphene with magnetic impurities
• Kondo effect of an adatom in graphene and its scanning tunneling spectroscopy
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• RKKY Interactions in Graphene Landau Levels
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Molecular Kondo effect in flat-band lattices
• Gate-tunable Kondo resistivity and dephasing rate in graphene studied by numerical renormalization group calculations
• Poor man's scaling: anisotropic Kondo and Coqblin--Schrieffer models
• Scaling theory of intrinsic Kondo and Hund's rule interactions in magic-angle twisted bilayer graphene
• Electrical and thermoelectrical transport in Dirac fermions through a quantum dot
• Density matrix renormalization group study in energy space for a single-impurity Anderson model and an impurity quantum phase transition
• Ferromagnetic induced Kondo effect in graphene with a magnetic impurity
• Kondo effect with Wilson fermions
• Breakdown of heavy quasiparticles in a honeycomb Kondo lattice: A quantum Monte Carlo study
• Unveiling the Kondo cloud: unitary RG study of the Kondo model
• Spin-anisotropic magnetic impurity in a Fermi gas: poor man's scaling equation integration
• Emergent Kondo behavior from gauge fluctuations in spin liquids
• Critical quasiparticles in single-impurity and lattice Kondo models
• Theory of Vacancy-Induced Intrinsic Magnetic Impurity with Quasi-Localized Spin Moment in Graphene
• Sublattice symmetry breaking and Kondo-effect enhancement in strained graphene
• Reentrant Kondo effect in a quantum impurity coupled to a metal-semiconductor hybrid contact
• Entanglement Entropy Near Kondo-Destruction Quantum Critical Points
• From Kondo to local singlet state in graphene nanoribbons with magnetic impurities
• `Holographic' treatment of surface disorder on a topological insulator
• Kondo effect due to a hydrogen impurity in graphene: a multichannel Kondo problem with diverging hybridization
• Spectral properties and the Kondo effect of cobalt adatoms on silicene
• Ground-state properties of the symmetric single-impurity Anderson model on a ring from Density-Matrix Renormalization Group, Hartree-Fock, and Gutzwiller theory
• Cavity-enhanced Kondo effect
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Quantum phase transitions into Kondo states in bilayer graphene
• Many-Body Effects in Topological Kondo Insulators
• Boltzmann conductivity of ferromagnetic graphene with magnetic impurities
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
• Remote Mesoscopic Signatures of Induced Magnetic Texture in Graphene
• Real-time dynamics induced by quenches across the quantum critical points in gapless Fermi systems with a magnetic impurity
• Tunable Kondo resonance at a pristine two-dimensional Dirac semimetal on a Kondo insulator
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Spin Stiffness and Domain Walls in Dirac-Electron Mediated Magnets
• Single-impurity Kondo physics at extreme particle-hole asymmetry
• Dirac Kondo effect under magnetic catalysis
• Engineering Kondo state in two-dimensional semiconducting phosphorene
• Selective Kondo strong coupling in magnetic impurity flat-band lattices
• Modified Pade approach for analytic continuation: Application to the zero-gap Kondo lattice model
• Analysis of the QCD Kondo phase using random matrices
• Impurities in graphene and their influence on the Casimir interaction
• Effects of correlations on honeycomb lattice in ionic-Hubbard Model
• Fano-shaped impurity spectral density, electric-field-induced in-gap state and local magnetic moment of an adatom on trilayer graphene
• Kondo-induced hybrid topological insulator in two-dimensional electron system with a quadratic band crossing point
• Transport properties for a quantum dot coupled to normal leads with pseudogap
• Poor man's scaling: $XYZ$ Coqblin--Schrieffer model revisited
• Kondo Effect in a Spin-3/2 Fermi Gas
• Emergent soft-gap Anderson models at quantum criticality in a lattice Hamiltonian within dynamical mean field theory
• Collective resonances near zero energy induced by a point defect in bilayer graphene
• Two-channel charge-Kondo physics in graphene quantum dots
• Spin orbit interaction in nanotubes
• RKKY quadratic and biquadratic spin-spin interactions in twisted bilayer graphene
• Spin relaxation and the Kondo effect in transition metal dichalcogenide monolayers
• Ion-Implanted ${}^8$Li Nuclear Magnetic Resonance in Highly Oriented Pyrolytic Graphite
• Defect-Induced Kondo Effect in graphene: Role of Localized State of $\pi$ Electrons
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Phase diagram of a pseudogap Anderson model with application to graphene
• Local multiplet formation around a single vacancy in graphene: an effective Anderson model analysis based on the block-Lanczos DMRG method
• Magnetic correlation effects by the topological zero mode in a hydrogenated graphene vacancy $V_{111}$
• A graphene edge-mediated quantum gate
• Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene