Levy statistics and anomalous transport in quantum-dot arrays

Details Levy statistics and anomalous transport in quantum-dot arrays Levy statistics and anomalous transport in quantum-dot arrays

2003-07-01

arxiv.org/abs/cond-mat/0307031v2

Phys. Rev. B 72, 075309 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevB.72.075309

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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