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Levy statistics and anomalous transport in quantum-dot arrays

D. S. Novikov·M. Drndic·L. S. Levitov·M. A. Kastner·M. V. Jarosz·M. G. Bawendi
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Abstract

A novel model of transport is proposed to explain power law current transients and memory phenomena observed in partially ordered arrays of semiconducting nanocrystals. The model describes electron transport by a stationary Levy process of transmission events and thereby requires no time dependence of system properties. The waiting time distribution with a characteristic long tail gives rise to a nonstationary response in the presence of a voltage pulse. We report on noise measurements that agree well with the predicted non-Poissonian fluctuations in current, and discuss possible mechanisms leading to this behavior.

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D. S. Novikov, M. Drndic, L. S. Levitov, M. A. Kastner, M. V. Jarosz, M. G. Bawendi. 2005-08-10. Levy statistics and anomalous transport in quantum-dot arrays. https://doi.org/10.1103/physrevb.72.075309

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