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The effect of local density of states (LDOS) fluctuations on the dynamics ofa Kondo impurities in a small metallic point contact (PC) is studied. Toestimate the spatial and energy dependent LDOS fluctuations we investigate amodel PC by means of a transfer matrix formalism. For small PC's in thenanometer scale we find that near to the orifice strong LDOS fluctuationsdevelop. These fluctuations may shift the Kondo temperature by several ordersof magnitude, and result in a strong broadening of the PC Kondo peak inagreement with the results of recent measurements.

Enhancement of the Kondo temperature of magnetic impurities in metallic point contacts due to the fluctuations of the local density of states