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| <p>Signatures of Random Matrix Theory in the Discrete Energy Spectra of</p> | |
| <p>Shape Disordered Metallic Clusters</p> | |
| <p><em>Laura Adams</em></p> | |
| <p><em>University of Minnesota</em></p> | |
| <p>Low temperature scanning tunneling microscope images and spectroscopic data have been obtained on subnanometer size Pb clusters fabricated using the technique of buffer layer assisted growth. Discrete energy levels were resolved in current-voltage characteristics as current peaks </p> | |
| <p>rather than current steps. Distributions of peak voltage spacings and peak current height were consistent with Wigner-Dyson and Porter-Thomas distributions respectively for a few of the clusters, suggesting the relevance of random matrix theory to the description of the electronic </p> | |
| <p>eigenstates of the clusters. The observation of peaks rather than steps in the current-voltage characteristics is attributed to a resonant tunneling process involving the discrete energy levels of the cluster, the tip, and the states at the interface between the cluster and the substrate surface. There is an apparent transition to chaos in the level statistics as a function of cluster shape that will also be discussed.</p> | |
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