Grain-Boundary Resistance in Copper Interconnects: From an Atomistic Model to a Neural Network
D Valencia and E Wilson and ZP Jiang and GA Valencia-Zapata and KC Wang and G Klimeck and M Povolotskyi, PHYSICAL REVIEW APPLIED, 9, 044005 (2018).
DOI: 10.1103/PhysRevApplied.9.044005
Orientation effects on the specific resistance of copper grain boundaries are studied systematically with two different atomistic tight-binding methods. A methodology is developed to model the specific resistance of grain boundaries in the ballistic limit using the embedded atom model, tight-binding methods, and nonequilibrium Green's functions. The methodology is validated against first-principles calculations for thin films with a single coincident grain boundary, with 6.4% deviation in the specific resistance. A statistical ensemble of 600 large, random structures with grains is studied. For structures with three grains, it is found that the distribution of specific resistances is close to normal. Finally, a compact model for grain-boundary-specific resistance is constructed based on a neural network.
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