Percolative threshold dependence on the reduction of lateral dimension in random site networks is investigated by Monte Carlo simulations. Conductance of a large amount of random grain (nanocrystal) sets has been calculated as a function of the transverse dimension. Effect of a transverse applied field, acting on the grain charging energies, is evaluated and compared with the lateral reduction. Active devices (transistors) based on this concept could be fabricated and employed for multilevel device integration.

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