Spectral Density of the Two-Impurity Anderson Model

Abstract

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the weak-coupling regime, we find a quantum phase transition as function of inter-impurity hopping driven by the charge degrees of freedom. For large values of the local Coulomb repulsion, the transition is driven instead by a competition between local and non-local magnetic correlations. We find evidence that, in contrast to the usual phenomenological picture, it seems to be the bare effective exchange interactions which trigger the observed transition.

18 pages, 6 figures, submitted to J. Phys.:Condens. Matter

References in corpus (7)

• Dynamical density-matrix renormalization-group method
• Quantum phase transitions in models of coupled magnetic impurities
• Kondo resonant spectra in coupled quantum dots
• Kondo effect in coupled quantum dots: a Non-crossing approximation study
• Density-matrix renormalisation group approach to quantum impurity problems
• High Energy Dynamics of the Single Impurity Anderson Model
• Kondo effect in coupled quantum dots under magnetic fields

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• Spectral properties of the two-impurity Anderson model with varying distance and various interactions
• Hybridization expansion Monte Carlo simulation of multi-orbital quantum impurity problems: matrix product formalism and improved Monte Carlo sampling
• Realistic quantum critical point in one-dimensional two-impurity models
• Quantum phase transition and underscreened Kondo effect in electron transport through parallel double quantum dots
• Impact of the Dzyaloshinskii-Moriya interaction in strongly correlated itinerant systems
• Non-interacting two-impurity Anderson model on a lattice at particle-hole symmetry