Levy statistics and anomalous transport in quantum-dot arrays

TL;DR

This paper introduces a Levy process-based model to explain anomalous transport and memory effects in quantum-dot arrays, supported by noise measurements aligning with non-Poissonian fluctuation predictions.

Contribution

It presents a novel Levy process model for electron transport in quantum-dot arrays, explaining power law transients without requiring time-dependent system properties.

Findings

Noise measurements match Levy process predictions

Power law current transients observed in experiments

Non-Poissonian fluctuations confirmed in current noise

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.