Anderson impurity in a semiconductor

Abstract

We consider an Anderson impurity model in which the locally correlated orbital is coupled to a host with a gapped density of states. Single-particle dynamics are studied, within a perturbative framework that includes both explicit second-order perturbation theory and self-consistent perturbation theory to all orders in the interaction. Away from particle-hole symmetry the system is shown to be a generalized Fermi liquid (GFL) in the sense of being perturbatively connectable to the non-interacting limit; and the exact Friedel sum rule for the GFL phase is obtained. We show by contrast that the particle-hole symmetric point of the model is not perturbatively connected to the non-interacting limit, and as such is a non-Fermi liquid for all non-zero gaps. Our conclusions are in agreement with NRG studies of the problem.

7 pages, 4 figures

References in corpus (7)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• The numerical renormalization group method for quantum impurity systems
• Spectral properties of locally correlated electrons in a BCS superconductor
• Single-particle dynamics of the Anderson model: a local moment approach
• Kondo Effect in Fermi Systems with a Gap: A Renormalization Group Study
• An Anderson Impurity in a Semiconductor

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