Percolation Theory
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Abstract
The electronic devices these days have become so small that the number of dopant atoms in the channel of a MOFET transistor, the number of oxide atoms in its gate dielectric, the number silicon- or metal crystals in nanocrystal Flash memory, the number of Nanowires in a flexible nanoNET transistor, the number of crystals in an poly-crystalline transistors, etc. are all finite, and countable. Moreover many devices like super-capacitors and organic solar cells depend on the randomness their morphology to enhance their performance. How should we think about electron transport through such random systems? The traditional approaches based on effective media theory, virtual crystal approximation, or Monte Carlo simulation are generally not very effective in describing such transport well. This short course introduces percolation theory to electrical engineers and device physicists as a powerful technique to handle such stochastically random transport problems of electronic devices.
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