Interaction between Kondo impurities in a quantum corral

Abstract

We calculate the spectral densities for two impurities inside an elliptical quantum corral using exact diagonalization in the relevant Hilbert subspace and embedding into the rest of the system. For one impurity, the space and energy dependence of the change in differential conductance $\Delta =dI/dV$ observed in the quantum mirage experiment is reproduced. In presence of another impurity, $\Delta =dI/dV$ is very sensitive to the hybridization between impurity and bulk. The impurities are correlated ferromagnetically between them. A hopping $\gtrsim 0.15$ eV between impurities destroy the Kondo resonance.

4 pages, 4 figures

References in corpus (5)

• Kondo resonances and Fano antiresonances in transport through quantum dots
• Many-body theory of the quantum mirage
• Spectroscopic and magnetic mirages of impurities in nanoscopic systems
• Mirages and enhanced magnetic interactions in quantum corrals
• Line shape in the mirage experiment

Cited by in corpus (15)

• Theory of Quantum Corrals and Quantum Mirages
• Multi-impurity Anderson model for quantum dots coupled in parallel
• Ab initio study of mirages and magnetic interactions in quantum corrals
• Mirages and many-body effects in quantum corrals
• Conductance through an array of quantum dots
• A Novel Approach to Study Highly Correlated Nanostructures: The Logarithmic Discretization Embedded Cluster Approximation
• Spectral density of an interacting dot coupled indirectly to conducting leads
• Spatially dependent Kondo effect in Quantum Corrals
• Quantum Corrals, Eigenmodes and Quantum Mirages in s-wave Superconductors
• One- and many-body effects on mirages in quantum corrals
• Screening mechanisms in magnetic nanostructures
• Quantum corral wave function engineering
• Quantum correlations in nanostructured two-impurity Kondo systems
• Kondo temperature when the Fermi level is near a step in the conduction density of states
• Static and dynamical properties of elliptic quantum corrals