The Anderson impurity model with a narrow-band host: from orbital physics to the Kondo effect
arXiv:1105.1983 · doi:10.1103/PhysRevB.83.195110
Abstract
A particle-hole symmetric Anderson impurity model with a metallic host of narrow bandwidth is studied within the framework of the local moment approach. The resultant single-particle spectra are compared to unrestricted Hartree-Fock, second order perturbation theory about the noninteracting limit, and Lanczos spectra by Hofstetter and Kehrein. Rather accurate analytical results explain the spectral evolution over almost the entire range of interactions. These encompass, in particular, a rationale for the four-peak structure observed in the low-energy sector of the Lanczos spectra in the moderate-coupling regime. In weak coupling, the spectral evolution is governed by orbital effects, while in the strong coupling Kondo limit, the model is shown to connect smoothly to the generic Anderson impurity with a flat and infinitely wide hybridization band.
17 pages, 7 figures
References in corpus (9)
- The numerical renormalization group method for quantum impurity systems
- Dynamical Density-Matrix Renormalization Group for the Mott--Hubbard insulator in high dimensions
- Electron spectra close to a metal-to-insulator transition
- Single-Particle Dynamics in the Vicinity of the Mott-Hubbard Metal-to-Insulator Transition
- Spectral density of an interacting dot coupled indirectly to conducting leads
- Dynamics and transport properties of heavy fermions: theory
- Anderson impurity in a semiconductor
- A local moment approach to the degenerate Anderson impurity model
- Single-particle dynamics of the Anderson model: a two-self-energy description within the numerical renormalization group approach