Symmetric Anderson impurity model with a narrow band

Abstract

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of a narrow band, which is relevant for the Mott-Hubbard transition in infinite dimensions. For the symmetric model we discuss two different effects: i) The impurity contribution to the density of states at the Fermi surface always turns out to be negative in such systems. This leads to a new crossover in the thermodynamic quantities that we investigate using the numerical renormalization group. ii) Using the Lanczos method, we calculate the impurity spectral function and demonstrate the breakdown of the skeleton expansion on an intermediate energy scale. Luttinger's theorem, as an example of the local Fermi liquid property of the model, is shown to still be valid.

4 pages RevTeX, 2 eps figures included, final version

References in corpus (3)

• Mott-Hubbard transition in infinite dimensions
• Density of states near the Mott-Hubbard transition in the limit of large dimensions
• Renormalized vs unrenormalized perturbation-theoretical approaches to the Mott transition

Cited by in corpus (14)

• Zero temperature metal-insulator transition in the infinite-dimensional Hubbard model
• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• Non-existence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
• Zero-field Kondo splitting and quantum-critical transition in double quantum dots
• Kondo effect in graphene with Rashba spin-orbit coupling
• Local susceptibility and Kondo scaling in the presence of finite bandwidth
• Anderson impurity in a correlated conduction band
• Spin susceptibility of Anderson impurities in arbitrary conduction bands
• Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point
• Quantum phase transitions into Kondo states in bilayer graphene
• Spectral properties of a narrow-band Anderson model
• Zero-field splitting of the Kondo resonance and quantum criticality in triple quantum dots
• The Anderson impurity model with a narrow-band host: from orbital physics to the Kondo effect
• Defect-Induced Kondo Effect in graphene: Role of Localized State of $\pi$ Electrons