Point-contact spectroscopy is applied to study the energy dependence of paramagnetic impurities in noble metals. The samples are in the form of the so-called mechanically controllable break-junctions where the investigated piece of alloy makes a nanowire connecting two bulk electrodes.The lateral dimensions of the bridge are of the order of a few nm and can be continuously changed. Three qualitative dependences manifest the size effect while decreasing the contact diameter: 1) Intensity of Kondo peak due to Kondo scattering in point-contact spectra decreases slower than the nonlinearities due to phonon scatterings, 2) The width of the Kondo peak becomes broder, and 3) Due to the Zeeman energy, the splitting of Kondo peak in external and internal (for a spin glass) fields, is suppressed. Explanation of the phenomena is given in terms of the theory of Zarand and Udvardi where the local density of states (LDOS) of conduction electron fluctuates strongly inside a nanowire due to interference of electronic states. Since Kondo effect is a local probe of LDOS, the impurities located close to the maxima of LDOS show the increase of the Kondo temperature and give the primary contribution to the contact resistance.
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