Abstract

Under sufficient electrical bias, electron percolation in nanocrystalline silicon can lead to rapid self-heating and formation of highly conductive, molten filaments, and local crystallization upon cooling. Self-heated nanocrystalline silicon nanowires are modeled using 2-D finite element simulations using temperature dependent material parameters. Nanocrystalline silicon is modeled as randomly distributed isolated crystalline grains embedded in an amorphous matrix. Highly conductive, nanometer-width molten filaments form from percolation paths at the beginning of nanosecond voltage pulses. In a short period of time, the most conductive filament starts drawing all the current (with current densities > 100 MA/cm2) while the remaining percolation paths resolidify.

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