Kondo cluster Recent low temperature scanning tunnelling micorcope(STM) experiments have probed the spectroscopy of isolated nanometer magnetic Co cluster on metallic single-walled nanotubes[ Science 290, 1549(2000)]. The tunneling spectrum of these small ferromagnetic clusters exhibited several interesting features: Kondo effect of small magnetic clusters and well resolved discrete level spacing in single-walled carbon nanotubes. Experimentally, with STM tip single-walled nanotubes has been systematically cut into short lengths. Kondo effects of magnetic clusters on a finite-sized SWNT host where the clusters interact with confined electron systems has attracted experimental and theoretical interests. Based on conventional model ( Anderson impurity model and Kondo impurity model) and exact diagonalization method which is a powerful numerical tool for the finite site system we are able to investigate many basic features of the Kondo physics of 1D strongly interacting systems. Local density of states of impurity atom has been calculated by exact diagonalization method in changing the size of 1D host. Trimer magnetic cluster has been considered in this exact numerical calculation. Kondo temperature of cluster has been plotted as varying hopping matrix of 1D host which is related with energy scales of confined electron systems.
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