Interaction between Kondo impurities in a quantum corral

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 DeltadI/dV observed in the quantum mirage experiment is reproduced. In presence of another impurity DeltadI/dV is very sensitive to the hybridization between impurity and bulk. The impurities are correlated ferromagnetically between them. A hopping greater than or similar to0.15 eV between impurities destroys the Kondo resonance.