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Evaluation of strain gauge factors of graphene ribbon models based on first-principles electronic-state calculations

The present work has simulated the piezoresistivity coefficient in graphene ribbon based on the first-principles electronic-state calculation method. The carrier conductivity along the graphene ribbon models have been calculated using band carrier densities and their corresponding effective masses derived from the one-dimensional band diagram. The longitudinal and transverse gauge factors are large in our calculation, and the zigzag graphene ribbon is a high potential material with high piezoresistivity.