Detailed experimental and theoretical studies of lateral electron transport in a system of quantum dot chains demonstrate the complicated character of the conductance within the chain structure due to the interaction of conduction channels with different dimensionalities. The one-dimensional character of states in the wetting layer results in an anisotropic mobility, while the presence of the zero-dimensional states of the quantum dots leads to enhanced hopping conductance, which affects the low-temperature mobility and demonstrates an anisotropy in the conductance. These phenomena were probed by considering a one-dimensional model of hopping along with band filling effects. Differences between the model and the experimental results indicate that this system does not obey the simple one-dimensional Mott's law of hopping and deserves further experimental and theoretical considerations.
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Kunets, V.P., M.Rebello Sousa Dias, T. Rembert, M.E. Ware, Y.I. Mazur, V. Lopez-Richard, H. A. Mantooth, G.E. Marques, G.J. Salamo. "Electron transport in quantum dot chains: Dimensionality effects and hopping conductance." Journal of Applied Physics 113, 183709 (2013), doi: 10.1063/1.4804324.