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Scanning tunneling miscoscopy is one of the most powerful spectroscopic toolsfor single-electron excitations. We show that the conductance fluctuations, ornoise in the conductance, of a tunneling current into an interacting electronsystem is dominated by density-density and spin-spin correlations. This allowsone to probe two-particle properties (susceptibilities) and collectiveexcitations by standard experimental tunneling methods. We demonstrate thistheoretically, using a novel many-body calculation for the multi-center Kondoproblem, including both direct and indirect exchange between magnetic atoms. Anexample of the two-particle correlations around a single magnetic adatom in theKondo regime, as would be viewed by a scanning tunneling microscope, is given.The spatial dependance of the charge and spin correlations, including theformation of the Kondo cloud in the spin sector, are shown.

Measuring spin and charge correlations via tunneling-current conductance fluctuations