Measurement of the Kondo cloud length via a quantum dot coupled to a 1d interferometer: Theory (1/2)

The Kondo effect, known as the archetype of many-body correlations, arises from the interaction between a localized magnetic moment and surrounding conducting electrons. Advances of nanotechnology allow us to study the Kondo effect for a single magnetic impurity confined in a semiconductor quantum dot in contact with electron reservoirs. This development also makes it possible to embed a Kondo correlated state into an interferometer. However, the special extent of the Kondo cloud has yet to be measured.
Here, we demonstrate that the Kondo cloud length ξK can be measured in a system of a Kondo correlated quantum coupled to a 1D Fabry–Perot (F-P) interferometer. Using numerical renormalization group and poor man’s scaling methods in parallel we characterize the oscillations in Kondo temperature with respect to resonances of the F-P interferometer. We show that the amplitude of the temperature oscillations can be described by the interferometer length as well as the coupling strength. Thus, we demonstrate a system where an experimentally defined length can be used to infer the Kondo length.