Non-interacting two-impurity Anderson model on a lattice at particle-hole symmetry

Abstract

We study the non-interacting two-impurity Anderson model on a lattice using the Green function equation-of-motion method. A case of particular interest is the RKKY limit that is characterized by a small hybridization between impurities and host electrons and the absence of a direct coupling between the impurities. In contrast to the low-density case, at half band-filling and particle-hole symmetry, the RKKY interaction decays as the inverse square of the impurity distance along the axis of a simple cubic lattice. In the RKKY limit, for the spectral function we generically observe a small splitting of the single-impurity resonance into two peaks. For a vanishing density-density correlation function of the host electrons, we find only a broadened single peak in the local density of states.

arXiv comment14 pages, 3 figures

References in corpus (4)

• Spectral properties of the two-impurity Anderson model with varying distance and various interactions
• Spectral Density of the Two-Impurity Anderson Model
• Validity of the local self-energy approximation: Application to coupled quantum impurities
• Gutzwiller variational approach to the two-impurity Anderson model at particle-hole symmetry

Cited by in corpus (4)

• Effective low-energy description of the two impurity Anderson model: RKKY interaction and quantum criticality
• Strongly correlated multi-impurity models: The crossover from a single-impurity problem to lattice models
• Gutzwiller variational approach to the two-impurity Anderson model at particle-hole symmetry
• Thermodynamics and screening in the Ising-Kondo model