Friedel Oscillation about a Friedel-Anderson Impurity

Abstract

The Friedel oscillations in the vicinity of a Friedel-Anderson (FA) impurity are investigated numerically. For an FA impurity in the local moment limit the normalized amplitude A(ξ) is S-shaped, approximately zero at short distances, approaching two at large distances and crossing the value one at the characteristic length ξ_{1/2}. Surprisingly, the Friedel oscillations of a simple non-interacting Friedel impurity with a narrow resonance at the Fermi level show a very similar behavior of their amplitude A(ξ). A comparison correlates the resonance width and the Kondo energy of the FA impurity with the characteristic length ξ_{1/2} of the Friedel oscillations.

References in corpus (10)

• Continuous-time Monte Carlo methods for quantum impurity models
• Kondo Quantum Criticality of Magnetic Adatoms in Graphene
• Long-range Kondo signature of a single magnetic impurity
• Localized Spins on Graphene
• Friedel oscillations and the Kondo screening cloud
• Orbital selective and tunable Kondo effect of magnetic adatoms on graphene: Correlated electronic structure calculations
• Gate-controlled Kondo screening in graphene: Quantum criticality and electron-hole asymmetry
• Real-space renormalization group flow in quantum impurity systems: local moment formation and the Kondo screening cloud
• Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
• Numerical Calculation of the Fidelity for the Kondo and the Friedel-Anderson Impurities

Cited by in corpus (4)

• Friedel Oscillations in Graphene: Sublattice Asymmetry in Doping
• Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems
• Emergence of a Kondo singlet state with the Kondo temperature well beyond 1,000K in the proton-embedded electron gas: Possible route to high-Tc superconductivity
• Impurity with a resonance in the vicinity of the Fermi energy